A

The SkyLLH framework for IceCube point-source search

International Cosmic Ray Conference, pp. 1073

Abstract

Hypothesis tests based on unbinned log-likelihood (LLH) functions are a common technique used in multi-messenger astronomy, including IceCube's neutrino point-source searches. We present the general Python-based tool "SkyLLH", which provides a modular framework for implementing and executing log-likelihood functions to perform data analyses with multi-messenger astronomy data. Specific SkyLLH framework features for a new and improved time-integrated IceCube point-source analysis are highlighted, including the support for kernel density estimation (KDE) based probability density functions. In addition, the support for a variety of point-source analysis types, such as stacked and time-variable searches, will be presented.

Authors 99

  1. Technical University of Munich · RWTH Aachen University

    Affiliation as printed

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

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

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

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

  2. Loyola University Chicago

    Affiliation as printed

    Department of Physics, Loyola University Chicago, Chicago, IL 60660, USA

  3. 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

  4. University of Canterbury

    Affiliation as printed

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

  5. 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

  6. University of Copenhagen

    Affiliation as printed

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

  7. 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

  8. University of Geneva

    Affiliation as printed

    Département de physique nucléaire et corpusculaire, Université de Genève, CH-1211 Genève, Switzerland

  9. Harvard University

    Affiliation as printed

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

  13. 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

  14. 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

  15. 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

  16. 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

  17. University of Geneva

    Affiliation as printed

    Département de physique nucléaire et corpusculaire, Université de Genève, CH-1211 Genève, Switzerland

  18. University of California, Irvine

    Affiliation as printed

    Dept. of Physics and Astronomy, University of California, Irvine, CA 92697, 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. 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

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

  26. Technical University of Munich

    Affiliation as printed

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

  27. 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

  28. University of Maryland, College Park

    Affiliation as printed

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

  31. 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

  32. 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

  33. University of Maryland, College Park

    Affiliation as printed

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

  34. 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

  35. Technical University of Munich · RWTH Aachen University

    Affiliation as printed

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

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

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

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

  36. Karlsruhe Institute of Technology

    Affiliation as printed

    Karlsruhe Institute of Technology,

  37. Technical University of Munich · RWTH Aachen University

    Affiliation as printed

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

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

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

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

  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. 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

  40. University of Copenhagen

    Affiliation as printed

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

  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. 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

  43. University of Geneva

    Affiliation as printed

    Département de physique nucléaire et corpusculaire, Université de Genève, CH-1211 Genève, Switzerland

  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. 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

  47. 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

  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. 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

  50. 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

  51. 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

  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. Michigan State University

    Affiliation as printed

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

  57. 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

  58. 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

  59. 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

  60. 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

  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. 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

  63. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University · Technical University of Munich · RWTH Aachen University

    Affiliation as printed

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

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

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

  65. 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

  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. Ghent University

    Affiliation as printed

    Dept. of Physics and Astronomy, University of Gent, B-9000 Gent, Belgium

  70. 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

  71. 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

  72. 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

  73. 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

  74. 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

  75. Michigan State University

    Affiliation as printed

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

  76. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University · Technical University of Munich · RWTH Aachen University

    Affiliation as printed

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

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

  77. 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

  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. Karlsruhe Institute of Technology

    Affiliation as printed

    Karlsruhe Institute of Technology,

  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. 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

  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. Technical University of Munich

    Affiliation as printed

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

  86. 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

  87. Southern University and Agricultural and Mechanical College · University of Alaska Anchorage · The University of Texas at Arlington · Clark Atlanta University · Technical University of Munich · RWTH Aachen University

    Affiliation as printed

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

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

  88. University of Maryland, College Park

    Affiliation as printed

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

    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

    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

  92. 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

  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 · 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

  95. 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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