A

A Time-Variability Test for Candidate Neutrino Sources Observed with IceCube

International Cosmic Ray Conference, pp. 1141

Abstract

Recent studies with IceCube have shown signs of a time-integrated flux of astrophysical neutrinos from point-like sources such as TXS 0506+056 and NGC 1068. Time-variability of this neutrino emission from TXS 0506+056 has been studied extensively by assuming a temporal profile of the possible flare(s) or searching for temporal neutrino correlation with other electromagnetic counterparts. However, experimental evidence of the temporal profile of an astrophysical neutrino signal, besides the TXS 0506+056 source, remains lacking. In this study, we present a new KS-test based method for investigating time-variability. This new method complements the existing time-dependent search methods with a test for arbitrary time-variability, independent of an assumed temporal profile or electromagnetic counterpart. Additionally, this method provides a diagnostic tool for characterizing point-like source candidates in IceCube by distinguishing variable from steady neutrino emission and we show results of applying this method to a small catalog of candidate blazars.

Authors 98

  1. Pranav Dave corresponding

    Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  2. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  3. University of Canterbury

    Affiliation as printed

    Dept. of Physics and Astronomy, University of Canterbury, Private Bag 4800, Christchurch, New Zealand

  4. Université Libre de Bruxelles

    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

  5. University of Copenhagen

    Affiliation as printed

    Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark

  6. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  7. University of Geneva

    Affiliation as printed

    Département de physique nucléaire et corpusculaire, Université de Genève,

  8. Harvard University

    Affiliation as printed

    Department of Physics and Laboratory for Particle Physics and Cosmology , Harvard University , Cambridge , MA 02138 , USA

  9. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  10. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  11. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  12. Harvard University

    Affiliation as printed

    Department of Physics and Laboratory for Particle Physics and Cosmology , Harvard University , Cambridge , MA 02138 , USA

    Department of Physics and Laboratory for Particle Physics and Cosmology, Harvard University, Cambridge, MA 02138, USA

  13. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  14. Massachusetts Institute of Technology

    Affiliation as printed

    Dept. of Physics , Massachusetts Institute of Technology , Cambridge , MA 02139 , USA

    Dept. of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA

  15. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  16. University of Geneva

    Affiliation as printed

    Département de physique nucléaire et corpusculaire, Université de Genève,

  17. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  18. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  19. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  20. Université Libre de Bruxelles

    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

  21. 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

  22. The Ohio State University

    Affiliation as printed

    Dept. of Astronomy, Ohio State University, Columbus, OH 43210, USA

    Dept. of Physics and Center for Cosmology and Astro-Particle Physics, Ohio State University, Columbus, OH 43210, USA

  23. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  24. Ruhr University Bochum

    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

  25. Technical University of Munich

    Affiliation as printed

    Physik-department, Technische Universität München, D-85748 Garching, Germany

  26. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  27. University of Maryland, College Park

    Affiliation as printed

    Dept. of Physics, University of Maryland, College Park, MD 20742, USA

  28. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  29. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  30. Lawrence Berkeley National Laboratory · University of California, Berkeley

    Affiliation as printed

    Dept. of Physics , University of California , Berkeley , CA 94720 , USA

    Lawrence Berkeley National Laboratory , Berkeley , CA 94720 , USA

    Dept. of Physics, University of California, Berkeley, CA 94720, USA

    Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA

  31. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  32. University of Maryland, College Park

    Affiliation as printed

    Dept. of Physics, University of Maryland, College Park, MD 20742, USA

  33. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  34. Georgia Institute of Technology · RWTH Aachen University

    Affiliation as printed

    Georgia Institute of Technology

    III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany

    III. Physikalisches Institut, RWTH Aachen University, D-52056 Aachen, Germany

  35. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  36. Georgia Institute of Technology · RWTH Aachen University

    Affiliation as printed

    Georgia Institute of Technology

    III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany

    III. Physikalisches Institut, RWTH Aachen University, D-52056 Aachen, Germany

  37. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  38. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  39. University of Copenhagen

    Affiliation as printed

    Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark

  40. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  41. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  42. University of Geneva

    Affiliation as printed

    Département de physique nucléaire et corpusculaire, Université de Genève,

  43. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  44. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  45. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  46. The University of Adelaide

    Affiliation as printed

    Department of Physics , University of Adelaide , Adelaide , 5005 , Australia

    Department of Physics, University of Adelaide, Adelaide, 5005, Australia

  47. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  48. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  49. The University of Adelaide

    Affiliation as printed

    Department of Physics , University of Adelaide , Adelaide , 5005 , Australia

    Department of Physics, University of Adelaide, Adelaide, 5005, Australia

  50. 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

  51. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  52. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  53. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  54. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  55. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  56. Massachusetts Institute of Technology

    Affiliation as printed

    Dept. of Physics , Massachusetts Institute of Technology , Cambridge , MA 02139 , USA

    Dept. of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA

  57. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University · Massachusetts Institute of Technology

    Affiliation as printed

    Dept. of Physics , Massachusetts Institute of Technology , Cambridge , MA 02139 , 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

  58. Vrije Universiteit Brussel

    Affiliation as printed

    Vrije Universiteit Brussel (VUB) , Dienst ELEM , B-1050 Brussels , Belgium

    Vrije Universiteit Brussel (VUB), Dienst ELEM, B-1050 Brussels, Belgium

  59. Vrije Universiteit Brussel · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University

    Affiliation as printed

    Vrije Universiteit Brussel (VUB) , Dienst ELEM , B-1050 Brussels , Belgium

    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

  60. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  61. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  62. Georgia Institute of Technology · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University · RWTH Aachen University

    Affiliation as printed

    Georgia Institute of Technology

    III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany

    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

  63. Vrije Universiteit Brussel · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University

    Affiliation as printed

    Vrije Universiteit Brussel (VUB) , Dienst ELEM , B-1050 Brussels , Belgium

    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

  64. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  65. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  66. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  67. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  68. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  69. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  70. Vrije Universiteit Brussel · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University

    Affiliation as printed

    Vrije Universiteit Brussel (VUB) , Dienst ELEM , B-1050 Brussels , Belgium

    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

  71. Vrije Universiteit Brussel · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University

    Affiliation as printed

    Vrije Universiteit Brussel (VUB) , Dienst ELEM , B-1050 Brussels , Belgium

    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

  72. 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

  73. Michigan State University

    Affiliation as printed

    Dept. of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA

  74. Georgia Institute of Technology · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University · RWTH Aachen University

    Affiliation as printed

    Georgia Institute of Technology

    III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany

    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

  75. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University · Massachusetts Institute of Technology

    Affiliation as printed

    Dept. of Physics , Massachusetts Institute of Technology , Cambridge , MA 02139 , 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

  76. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  77. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  78. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  79. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  80. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  81. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  82. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  83. Technical University of Munich

    Affiliation as printed

    Physik-department, Technische Universität München, D-85748 Garching, Germany

  84. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  85. Georgia Institute of Technology · Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University · RWTH Aachen University

    Affiliation as printed

    Georgia Institute of Technology

    III. Physikalisches Institut , RWTH Aachen University , D-52056 Aachen , Germany

    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

  86. University of Maryland, College Park

    Affiliation as printed

    Dept. of Physics, University of Maryland, College Park, MD 20742, USA

  87. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  88. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  89. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  90. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  91. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  92. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University · University of California, Berkeley

    Affiliation as printed

    Dept. of Physics , University of California , Berkeley , CA 94720 , 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

  93. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

  94. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · 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

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