A

Constraining particle acceleration in Sgr A⋆with simultaneous GRAVITY,Spitzer,NuSTAR, andChandraobservations

Astronomy and Astrophysics, vol. 654, pp. A22

Abstract

We report the time-resolved spectral analysis of a bright near-infrared and moderate X-ray flare of Sgr A⋆. We obtained light curves in theM,K, andHbands in the mid- and near-infrared and in the 2 − 8 keV and 2 − 70 keV bands in the X-ray. The observed spectral slope in the near-infrared band isνLν ∝ ν0.5 ± 0.2; the spectral slope observed in the X-ray band isνLν ∝ ν−0.7 ± 0.5. Using a fast numerical implementation of a synchrotron sphere with a constant radius, magnetic field, and electron density (i.e., a one-zone model), we tested various synchrotron and synchrotron self-Compton scenarios. The observed near-infrared brightness and X-ray faintness, together with the observed spectral slopes, pose challenges for all models explored. We rule out a scenario in which the near-infrared emission is synchrotron emission and the X-ray emission is synchrotron self-Compton. Two realizations of the one-zone model can explain the observed flare and its temporal correlation: one-zone model in which the near-infrared and X-ray luminosity are produced by synchrotron self-Compton and a model in which the luminosity stems from a cooled synchrotron spectrum. Both models can describe the mean spectral energy distribution (SED) and temporal evolution similarly well. In order to describe the mean SED, both models require specific values of the maximum Lorentz factorγmax, which differ by roughly two orders of magnitude. The synchrotron self-Compton model suggests that electrons are accelerated toγmax ∼ 500, while cooled synchrotron model requires acceleration up toγmax ∼ 5 × 104. The synchrotron self-Compton scenario requires electron densities of 1010cm−3that are much larger than typical ambient densities in the accretion flow. Furthermore, it requires a variation of the particle density that is inconsistent with the average mass-flow rate inferred from polarization measurements and can therefore only be realized in an extraordinary accretion event. In contrast, assuming a source size of 1 RS, the cooled synchrotron scenario can be realized with densities and magnetic fields comparable with the ambient accretion flow. For both models, the temporal evolution is regulated through the maximum acceleration factorγmax, implying that sustained particle acceleration is required to explain at least a part of the temporal evolution of the flare.

Authors 83

  1. European Southern Observatory

    Affiliation as printed

    European Southern Observatory, Karl-Schwarzschild-Strasse 2, 85748 Garching, Germany

  2. University of Lisbon · Instituto Superior Técnico · Centro de Astrofísica e Gravitação

    Affiliation as printed

    CENTRA – Centro de Astrofísica e Gravitação, IST, Universidade de Lisboa, 1049-001 Lisboa, Portugal

    Universidade de Lisboa – Faculdade de Ciências, Campo Grande, 1749-016 Lisboa, Portugal

  3. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  4. Massachusetts Institute of Technology

    Affiliation as printed

    MIT Kavli Institute for Astrophysics and Space Research, Cambridge, MA 02139, USA

  5. Centre National de la Recherche Scientifique · European Southern Observatory · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    European Southern Observatory, Karl-Schwarzschild-Strasse 2, 85748 Garching, Germany

    Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  6. Trottier Space Institute at McGill · McGill University

    Affiliation as printed

    Department of Physics, McGill University, 3600 University St., Montreal, QC H3A 2T8, Canada

    McGill Space Institute, 3550 University St., Montreal, QC H3A 2A7, Canada

  7. European Southern Observatory

    Affiliation as printed

    European Southern Observatory, Karl-Schwarzschild-Strasse 2, 85748 Garching, Germany

  8. Max Planck Institute for Astronomy

    Affiliation as printed

    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  9. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  10. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  11. Leiden University · Max Planck Institute for Extraterrestrial Physics · Leiden Observatory

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

    Sterrewacht Leiden, Leiden University, Postbus 9513, 2300 RA Leiden, The Netherlands

  12. Joint Institute for Laboratory Astrophysics · University of Colorado Boulder · Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Department of Astrophysical & Planetary Sciences, JILA, University of Colorado, Duane Physics Bldg., 2000 Colorado Ave, Boulder, CO 80309, USA

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  13. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  14. Max Planck Institute for Extraterrestrial Physics · Technical University of Munich

    Affiliation as printed

    Department of Physics, Technical University Munich, James-Franck-Strasse 1, 85748 Garching, Germany

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  15. University of Cologne · Max Planck Institute for Radio Astronomy

    Affiliation as printed

    1st Institute of Physics, University of Cologne, Zülpicher Strasse 77, 50937 Cologne, Germany

    Max Planck Institute for Radio Astronomy, Auf dem Hügel 69, 53121 Bonn, Germany

  16. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  17. Center for Astrophysics Harvard & Smithsonian

    Affiliation as printed

    Center for Astrophysics | Harvard & Smithsonian, 60 Garden St., Cambridge, MA 02138, USA

  18. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  19. California Institute of Technology

    Affiliation as printed

    Cahill Center for Astronomy and Astrophysics, California Institute of Technology, Pasadena, CA 91125, USA

  20. University of Illinois Urbana-Champaign

    Affiliation as printed

    Department of Astronomy, University of Illinois, 1002 West Green Street, Urbana, IL 61801, USA

  21. University of Lisbon · Universidade do Porto · Instituto Superior Técnico · Centro de Astrofísica e Gravitação

    Affiliation as printed

    CENTRA – Centro de Astrofísica e Gravitação, IST, Universidade de Lisboa, 1049-001 Lisboa, Portugal

    Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal

  22. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  23. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  24. Max Planck Institute for Extraterrestrial Physics · University of California, Berkeley

    Affiliation as printed

    Departments of Physics and Astronomy, Le Conte Hall, University of California, Berkeley, CA 94720, USA

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  25. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  26. Center for Astrophysics Harvard & Smithsonian

    Affiliation as printed

    Center for Astrophysics | Harvard & Smithsonian, 60 Garden St., Cambridge, MA 02138, USA

  27. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  28. Trottier Space Institute at McGill · McGill University

    Affiliation as printed

    Department of Physics, McGill University, 3600 University St., Montreal, QC H3A 2T8, Canada

    McGill Space Institute, 3550 University St., Montreal, QC H3A 2A7, Canada

  29. Columbia University

    Affiliation as printed

    Columbia Astrophysics Laboratory, Columbia University, 550 West 120th Street, Room 1027, New York, NY 10027, USA

  30. California Institute of Technology

    Affiliation as printed

    Cahill Center for Astronomy and Astrophysics, California Institute of Technology, Pasadena, CA 91125, USA

  31. European Southern Observatory

    Affiliation as printed

    European Southern Observatory, Casilla, 19001 Santiago 19, Chile

  32. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  33. Max Planck Institute for Astronomy

    Affiliation as printed

    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  34. Max Planck Institute for Astronomy

    Affiliation as printed

    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  35. Center for Astrophysics Harvard & Smithsonian

    Affiliation as printed

    Center for Astrophysics | Harvard & Smithsonian, 60 Garden St., Cambridge, MA 02138, USA

  36. University of Cologne

    Affiliation as printed

    1st Institute of Physics, University of Cologne, Zülpicher Strasse 77, 50937 Cologne, Germany

  37. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  38. European Southern Observatory

    Affiliation as printed

    European Southern Observatory, Casilla, 19001 Santiago 19, Chile

  39. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  40. European Southern Observatory

    Affiliation as printed

    European Southern Observatory, Casilla, 19001 Santiago 19, Chile

  41. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  42. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  43. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  44. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  45. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  46. California Institute of Technology

    Affiliation as printed

    Spitzer Science Center, California Institute of Technology, Pasadena, CA 91125, USA

  47. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  48. University of Amsterdam

    Affiliation as printed

    Anton Pannekoek Institute for Astronomy, University of Amsterdam, 1098 XH Amsterdam, The Netherlands

  49. Columbia University

    Affiliation as printed

    Columbia Astrophysics Laboratory, Columbia University, 550 West 120th Street, Room 1027, New York, NY 10027, USA

  50. University of California, Los Angeles

    Affiliation as printed

    UCLA Galactic Center Group, Physics and Astronomy Department, University of California, Los Angeles, CA 90024, USA

  51. Villanova University

    Affiliation as printed

    Villanova University, Department of Physics, Villanova, PA 19085, USA

  52. Centre National de la Recherche Scientifique · University of Cambridge · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    Institute of Astronomy, Madingley Road, Cambridge CB3 0HA, UK

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  53. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  54. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  55. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  56. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  57. Joint Institute for Laboratory Astrophysics · University of Colorado Boulder · Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Department of Astrophysical & Planetary Sciences, JILA, University of Colorado, Duane Physics Bldg., 2000 Colorado Ave, Boulder, CO 80309, USA

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  58. European Southern Observatory · Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    European Southern Observatory, Karl-Schwarzschild-Strasse 2, 85748 Garching, Germany

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  59. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  60. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  61. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  62. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  63. Max Planck Institute for Astronomy

    Affiliation as printed

    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  64. Center for Astrophysics Harvard & Smithsonian

    Affiliation as printed

    Center for Astrophysics | Harvard & Smithsonian, 60 Garden St., Cambridge, MA 02138, USA

  65. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  66. California Institute of Technology · Jet Propulsion Laboratory

    Affiliation as printed

    Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, MS 169-224, Pasadena, CA 91109, USA

  67. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  68. University of Cologne

    Affiliation as printed

    1st Institute of Physics, University of Cologne, Zülpicher Strasse 77, 50937 Cologne, Germany

  69. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  70. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  71. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 Place Jules Janssen, 92195 Meudon, France

  72. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  73. Max Planck Institute for Extraterrestrial Physics · Weizmann Institute of Science

    Affiliation as printed

    Department of Particle Physics & Astrophysics, Weizmann Institute of Science, Rehovot 76100, Israel

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  74. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  75. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  76. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  77. Center for Astrophysics Harvard & Smithsonian

    Affiliation as printed

    Center for Astrophysics | Harvard & Smithsonian, 60 Garden St., Cambridge, MA 02138, USA

  78. Max Planck Institute for Radio Astronomy

    Affiliation as printed

    Max Planck Institute for Radio Astronomy, Auf dem Hügel 69, 53121 Bonn, Germany

  79. European Southern Observatory

    Affiliation as printed

    European Southern Observatory, Karl-Schwarzschild-Strasse 2, 85748 Garching, Germany

  80. University of Cologne · Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    1st Institute of Physics, University of Cologne, Zülpicher Strasse 77, 50937 Cologne, Germany

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  81. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse 1, 85748 Garching, Germany

  82. Bard College

    Affiliation as printed

    Bard College Physics Program, 30 Campus Road, Annandale-On-Hudson, NY 12504, USA

  83. European Southern Observatory

    Affiliation as printed

    European Southern Observatory, Casilla, 19001 Santiago 19, Chile

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References 129