Conditional normalizing flows for IceCube event reconstruction
International Cosmic Ray Conference, pp. 1003
Abstract
The IceCube Neutrino Observatory is a cubic-kilometer high-energy neutrino detector deployed in the Antarctic ice. Two major event classes are charged-current electron and muon neutrino interactions. In this contribution, we discuss the inference of direction and energy for these classes using conditional normalizing flows. They allow to derive a posterior distribution for each individual event based on the raw data that can include systematic uncertainties, which makes them very promising for next-generation reconstructions. For each normalizing flow we use the differential entropy and the KL-divergence to its maximum entropy approximation to interpret the results. The normalizing flows correctly incorporate complex optical properties of the Antarctic ice and their relation to the embedded detector. For showers, the differential entropy increases in regions of high photon absorption and decreases in clear ice. For muons, the differential entropy strongly correlates with the contained track length. Coverage is maintained, even for low photon counts and highly asymmetrical contour shapes. For high-photon counts, the distributions get narrower and become more symmetrical, as expected from the asymptotic theorem of Bernstein-von-Mises. For shower directional reconstruction, we find the region between 1 TeV and 100 TeV to potentially benefit the most from normalizing flows because of azimuth-zenith asymmetries which have been neglected in previous analyses by assuming symmetrical contours. Events in this energy range play a vital role in the recent discovery of the galactic plane diffuse neutrino emission.
Authors 99
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Uppsala University · RWTH Aachen University
Affiliation as printed
III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany
Uppsala University , Uppsala , Sweden
III. Physikalisches Institut, RWTH Aachen University, D-52056 Aachen, Germany
Uppsala University, Uppsala, Sweden
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Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Dept. of Physics and Astronomy, University of Canterbury, Private Bag 4800, Christchurch, New Zealand
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Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Université Libre de Bruxelles , Science Faculty CP230 , B-1050 Brussels , Belgium
Université Libre de Bruxelles, Science Faculty CP230, B-1050 Brussels, Belgium
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Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Department of Physics and Laboratory for Particle Physics and Cosmology, Harvard University, Cambridge, MA 02138, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
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University of California, Berkeley
Affiliation as printed
Dept. of Physics , University of California , Berkeley , CA 94720 , USA
Dept. of Physics, University of California, Berkeley, CA 94720, USA
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Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Fakultät für Physik & Astronomie , Ruhr-Universität Bochum , D-44780 Bochum , Germany
Fakultät für Physik & Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany
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Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Uppsala University · RWTH Aachen University
Affiliation as printed
III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany
Uppsala University , Uppsala , Sweden
III. Physikalisches Institut, RWTH Aachen University, D-52056 Aachen, Germany
Uppsala University, Uppsala, Sweden
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Department of Physics and Laboratory for Particle Physics and Cosmology, Harvard University, Cambridge, MA 02138, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Uppsala University · RWTH Aachen University
Affiliation as printed
III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany
Uppsala University , Uppsala , Sweden
III. Physikalisches Institut, RWTH Aachen University, D-52056 Aachen, Germany
Uppsala University, Uppsala, Sweden
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Georgia Institute of Technology
Affiliation as printed
School of Physics and Center for Relativistic Astrophysics , Georgia Institute of Technology , Atlanta , GA 30332 , USA
School of Physics and Center for Relativistic Astrophysics, Georgia Institute of Technology, Atlanta, GA 30332, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Department of Physics , University of Adelaide , Adelaide , 5005 , Australia
Department of Physics, University of Adelaide, Adelaide, 5005, Australia
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Department of Physics and Laboratory for Particle Physics and Cosmology, Harvard University, Cambridge, MA 02138, USA
-
Affiliation as printed
Department of Physics , University of Adelaide , Adelaide , 5005 , Australia
Department of Physics, University of Adelaide, Adelaide, 5005, Australia
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Université Libre de Bruxelles, Science Faculty CP230, B-1050 Brussels, Belgium
-
Georgia Institute of Technology
Affiliation as printed
School of Physics and Center for Relativistic Astrophysics , Georgia Institute of Technology , Atlanta , GA 30332 , USA
School of Physics and Center for Relativistic Astrophysics, Georgia Institute of Technology, Atlanta, GA 30332, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Massachusetts Institute of Technology
Affiliation as printed
Dept. of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Vrije Universiteit Brussel (VUB), Dienst ELEM, B-1050 Brussels, Belgium
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Georgia Institute of Technology · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
School of Physics and Center for Relativistic Astrophysics , Georgia Institute of Technology , Atlanta , GA 30332 , USA
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Uppsala University · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University · RWTH Aachen University
Affiliation as printed
III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany
Uppsala University , Uppsala , Sweden
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Uppsala University · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University · RWTH Aachen University
Affiliation as printed
III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany
Uppsala University , Uppsala , Sweden
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Dept. of Physics and The International Center for Hadron Astrophysics, Chiba University, Chiba 263-8522, Japan
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
Dept. of Physics , Southern University , Baton Rouge , LA 70813 , USA
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Humboldt-Universität zu Berlin
Affiliation as printed
Institut für Physik , Humboldt-Universität zu Berlin , D-12489 Berlin , Germany
Institut für Physik, Humboldt-Universität zu Berlin, D-12489 Berlin, Germany
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · Lawrence Berkeley National Laboratory · The University of Texas at Arlington · Clark Atlanta University
Affiliation as printed
CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA
Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA
Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA
Dept. of Physics, University of Texas at Arlington, 502 Yates St., Science Hall Rm 108, Box 19059, Arlington, TX 76019, USA
Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
-
Affiliation as printed
Fakultät für Physik & Astronomie , Ruhr-Universität Bochum , D-44780 Bochum , Germany
Fakultät für Physik & Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany
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