Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Where is the end of the cosmic-ray electron spectrum?

Takahiro Sudoh1,2,3,4,* and John F. Beacom1,2,3,†

  • 1Center for Cosmology and AstroParticle Physics (CCAPP), Ohio State University, Columbus, Ohio 43210, USA
  • 2Department of Physics, Ohio State University, Columbus, Ohio 43210, USA
  • 3Department of Astronomy, Ohio State University, Columbus, Ohio 43210, USA
  • 4Graduate School of Artificial Intelligence and Science, Rikkyo University, Nishi-Ikebukuro 3-34-1, Toshima-ku, Tokyo 171-8501, Japan

  • *takahiro_sudoh@icloud.com
  • beacom.7@osu.edu

Phys. Rev. D 108, 103015 – Published 9 November, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.103015

Abstract

Detecting the end of the cosmic-ray (CR) electron spectrum would provide important new insights. While we know that Milky Way sources can accelerate electrons up to at least 1PeV, the observed CR electron spectrum at Earth extends only up to 5 TeV (possibly 20 TeV), a large discrepancy. The question of the end of the CR electron spectrum has received relatively little attention, despite its importance. We take a comprehensive approach, showing that there are multiple steps at which the observed CR electron spectrum could be cut off. At the highest energies, the accelerators may not have sufficient luminosity, or the sources may not allow sufficient escape, or propagation to Earth may not be sufficiently effective, or present detectors may not have sufficient sensitivity. For each step, we calculate a rough range of possibilities. Although all of the inputs are uncertain, a clear vista of exciting opportunities emerges. We outline strategies for progress based on CR electron observations and auxiliary multimessenger observations. In addition to advancing our understanding of CRs in the Milky Way, progress will also sharpen sensitivity to dark matter annihilation or decay.

Physics Subject Headings (PhySH)

Article Text

References (197)

  1. V. L. Ginzburg and S. I. Syrovatskii, The Origin of Cosmic Rays (Macmillan, New York, 1964).
  2. V. S. Berezinskii, S. V. Bulanov, V. A. Dogiel, and V. S. Ptuskin, Astrophysics of Cosmic Rays (North-Holland, Amsterdam, 1990).
  3. T. K. Gaisser, Cosmic Rays and Particle Physics (Cambridge University Press, Cambridge and New York, 1990).
  4. T. K. Gaisser, R. Engel, and E. Resconi, Cosmic Rays and Particle Physics (Cambridge University Press, Cambridge, England, 2016).
  5. M. Amenomori et al. (Tibet ASγ Collaboration), Astrophys. J. 678, 1165 (2008).
  6. W. D. Apel et al., Astropart. Phys. 47, 54 (2013).
  7. M. G. Aartsen et al. (IceCube Collaboration), Phys. Rev. D 100, 082002 (2019).
  8. P. Lipari and S. Vernetto, Astropart. Phys. 120, 102441 (2020).
  9. P. Blasi, Astron. Astrophys. Rev. 21, 70 (2013).
  10. S. Gabici, C. Evoli, D. Gaggero, P. Lipari, P. Mertsch, E. Orlando, A. Strong, and A. Vittino, Int. J. Mod. Phys. D 28, 1930022 (2019).
  11. P. Cristofari, Universe 7, 324 (2021).
  12. A. W. Strong, T. A. Porter, S. W. Digel, G. Jóhannesson, P. Martin, I. V. Moskalenko, E. J. Murphy, and E. Orlando, Astrophys. J. Lett. 722, L58 (2010).
  13. F. Aharonian et al., Phys. Rev. Lett. 101, 261104 (2008).
  14. M. Aguilar et al. (AMS Collaboration), Phys. Rev. Lett. 122, 101101 (2019).
  15. M. Aguilar et al. (AMS Collaboration), Phys. Rev. Lett. 122, 041102 (2019).
  16. S. Abdollahi et al. (Fermi-LAT Collaboration), Phys. Rev. D 95, 082007 (2017).
  17. O. Adriani et al. (CALET Collaboration), Phys. Rev. Lett. 120, 261102 (2018).
  18. DAMPE Collaboration, Nature (London) 552, 63 (2017).
  19. A. Archer et al. (VERITAS Collaboration), Phys. Rev. D 98, 062004 (2018).
  20. M. S. Longair, High Energy Astrophysics (Cambridge University Press, Cambridge, England, 2011).
  21. A. M. Atoyan, F. A. Aharonian, and H. J. Völk, Phys. Rev. D 52, 3265 (1995).
  22. T. Kobayashi, Y. Komori, K. Yoshida, and J. Nishimura, Astrophys. J. 601, 340 (2004).
  23. N. Kawanaka, K. Ioka, and M. M. Nojiri, Astrophys. J. 710, 958 (2010).
  24. D. Hooper, P. Blasi, and P. D. Serpico, J. Cosmol. Astropart. Phys. 01 (2009) 025.
  25. H. Yüksel, M. D. Kistler, and T. Stanev, Phys. Rev. Lett. 103, 051101 (2009).
  26. M. D. Kistler and H. Yuksel, arXiv:0912.0264.
  27. D. Grasso et al., Astropart. Phys. 32, 140 (2009).
  28. R. Cowsik and B. Burch, Phys. Rev. D 82, 023009 (2010).
  29. J. A. Hinton, S. Funk, R. D. Parsons, and S. Ohm, Astrophys. J. Lett. 743, L7 (2011).
  30. N. Kawanaka, K. Ioka, Y. Ohira, and K. Kashiyama, Astrophys. J. 729, 93 (2011).
  31. G. Giacinti, M. Kachelrieß, and D. V. Semikoz, Phys. Rev. Lett. 108, 261101 (2012).
  32. M. D. Kistler, H. Yuksel, and A. Friedland, arXiv:1210.8180.
  33. S. Profumo, Central Eur. J. Phys. 10, 1 (2012).
  34. T. Linden and S. Profumo, Astrophys. J. 772, 18 (2013).
  35. K. Blum, B. Katz, and E. Waxman, Phys. Rev. Lett. 111, 211101 (2013).
  36. D. Gaggero, L. Maccione, D. Grasso, G. Di Bernardo, and C. Evoli, Phys. Rev. D 89, 083007 (2014).
  37. R. Attallah, J. Cosmol. Astropart. Phys. 12 (2016) 025.
  38. K. Fang, B.-B. Wang, X.-J. Bi, S.-J. Lin, and P.-F. Yin, Astrophys. J. 836, 172 (2017).
  39. J. C. Joshi and S. Razzaque, J. Cosmol. Astropart. Phys. 09 (2017) 029.
  40. B. Zhou, K. C. Y. Ng, J. F. Beacom, and A. H. G. Peter, Phys. Rev. D 96, 023015 (2017).
  41. I. Cholis, T. Karwal, and M. Kamionkowski, Phys. Rev. D 97, 123011 (2018).
  42. P. Mertsch, J. Cosmol. Astropart. Phys. 11 (2018) 045.
  43. D. Hooper and T. Linden, Phys. Rev. D 98, 083009 (2018).
  44. Z.-Q. Huang, K. Fang, R.-Y. Liu, and X.-Y. Wang, Astrophys. J. 866, 143 (2018).
  45. R. López-Coto, R. D. Parsons, J. A. Hinton, and G. Giacinti, Phys. Rev. Lett. 121, 251106 (2018).
  46. K. Fang, X.-J. Bi, and P.-F. Yin, Mon. Not. R. Astron. Soc. 478, 5660 (2018).
  47. C. Jin, W. Liu, H.-B. Hu, and Y.-Q. Guo, Phys. Rev. D 97, 123005 (2018).
  48. I. Cholis, T. Karwal, and M. Kamionkowski, Phys. Rev. D 98, 063008 (2018).
  49. S. Recchia, S. Gabici, F. A. Aharonian, and J. Vink, Phys. Rev. D 99, 103022 (2019).
  50. A. M. Bykov, A. E. Petrov, A. M. Krassilchtchikov, K. P. Levenfish, S. M. Osipov, and G. G. Pavlov, Astrophys. J. Lett. 876, L8 (2019).
  51. S. Manconi, M. Di Mauro, and F. Donato, J. Cosmol. Astropart. Phys. 04 (2019) 024.
  52. P. Lipari, Phys. Rev. D 99, 043005 (2019).
  53. O. Fornieri, D. Gaggero, and D. Grasso, J. Cosmol. Astropart. Phys. 02 (2020) 009.
  54. A. Neronov and D. Semikoz, arXiv:2102.08456.
  55. C. Evoli, E. Amato, P. Blasi, and R. Aloisio, Phys. Rev. D 103, 083010 (2021).
  56. O. Fornieri, D. Gaggero, D. Guberman, L. Brahimi, P. D. L. T. Luque, and A. Marcowith, Phys. Rev. D 104, 103013 (2021).
  57. Y.-C. Ding, N. Li, C.-C. Wei, Y.-L. Wu, and Y.-F. Zhou, Phys. Rev. D 103, 115010 (2021).
  58. M. Di Mauro, F. Donato, and S. Manconi, Phys. Rev. D 104, 083012 (2021).
  59. M. Linares and M. Kachelrieß, J. Cosmol. Astropart. Phys. 02 (2021) 030.
  60. C. Evoli, E. Amato, P. Blasi, and R. Aloisio, Phys. Rev. D 104, 123029 (2021).
  61. G. Morlino and S. Celli, Mon. Not. R. Astron. Soc. 508, 6142 (2021).
  62. I. Cholis and I. Krommydas, Phys. Rev. D 105, 023015 (2022).
  63. K. Asano, Y. Asaoka, Y. Akaike, N. Kawanaka, K. Kohri, H. M. Motz, and T. Terasawa, Astrophys. J. 926, 5 (2022).
  64. I. John and T. Linden, Phys. Rev. D 107, 103021 (2023).
  65. I. Cholis and T. Hoover, Phys. Rev. D 107, 063003 (2023).
  66. Z. Cao et al. (LHAASO Collaboration), Science 373, 425 (2021).
  67. A. U. Abeysekara et al., Science 358, 911 (2017).
  68. A. Albert et al. (HAWC Collaboration), Astrophys. J. Lett. 911, L27 (2021).
  69. D. A. Burgess, K. Mori, J. D. Gelfand, C. J. Hailey, Y. M. Tokayer, J. Woo, H. An, K. Malone, S. P. Reynolds, S. Safi-Harb, and T. Temim, Astrophys. J. 930, 148 (2022).
  70. J. Park, C. Kim, J. Woo, H. An, K. Mori, S. P. Reynolds, and S. Safi-Harb, Astrophys. J. 945, 66 (2023).
  71. J. Park, C. Kim, J. Woo, H. An, K. Mori, S. P. Reynolds, and S. Safi-Harb, Astrophys. J. 945, 33 (2023).
  72. J. Woo, H. An, J. D. Gelfand, C. J. Hailey, K. Mori, R. Mukherjee, S. Safi-Harb, and T. Temim, Astrophys. J. 954, 9 (2023).
  73. H. Abdalla et al. (H. E. S. S. Collaboration), Astron. Astrophys. 612, A2 (2018).
  74. S. Wu, S. Chen, H. He, S. Lin, and Y. Nan, Proc. Sci. ICRC2019 (2019) 471.
  75. A. Addazi et al. (LHAASO Collaboration), Chin. Phys. C 46, 035001 (2022).
  76. A. Albert et al. (HAWC Collaboration), arXiv:2209.08106.
  77. W. D. Apel et al. (KASCADE-Grande Collaboration), Astrophys. J. 848, 1 (2017).
  78. P. Lipari and S. Vernetto, Phys. Rev. D 98, 043003 (2018).
  79. D. Khangulyan, F. A. Aharonian, and S. R. Kelner, Astrophys. J. 783, 100 (2014).
  80. T. Sudoh, T. Linden, and J. F. Beacom, Phys. Rev. D 100, 043016 (2019).
  81. C.-A. Faucher-Giguère and V. M. Kaspi, Astrophys. J. 643, 332 (2006).
  82. O. C. de Jager, Astrophys. J. Lett. 678, L113 (2008).
  83. K. P. Watters and R. W. Romani, Astrophys. J. 727, 123 (2011).
  84. S. B. Popov and R. Turolla, Astrophys. Space Sci. 341, 457 (2012).
  85. A. P. Igoshev and S. B. Popov, Mon. Not. R. Astron. Soc. 432, 967 (2013).
  86. A. Noutsos, D. H. F. M. Schnitzeler, E. F. Keane, M. Kramer, and S. Johnston, Mon. Not. R. Astron. Soc. 430, 2281 (2013).
  87. S. J. Tanaka and F. Takahara, Astrophys. J. 741, 40 (2011).
  88. D. F. Torres, A. Cillis, J. Martín, and E. de Oña Wilhelmi, J. High Energy Astrophys. 1, 31 (2014).
  89. B. Posselt, G. G. Pavlov, P. O. Slane, R. Romani, N. Bucciantini, A. M. Bykov, O. Kargaltsev, M. C. Weisskopf, and C. Y. Ng, Astrophys. J. 835, 66 (2017).
  90. D. Hooper, I. Cholis, T. Linden, and K. Fang, Phys. Rev. D 96, 103013 (2017).
  91. K. Fang, X.-J. Bi, P.-F. Yin, and Q. Yuan, Astrophys. J. 863, 30 (2018).
  92. S. Profumo, J. Reynoso-Cordova, N. Kaaz, and M. Silverman, Phys. Rev. D 97, 123008 (2018).
  93. X. Tang and T. Piran, Mon. Not. R. Astron. Soc. 484, 3491 (2019).
  94. A. A. Abdo et al., Astrophys. J. Lett. 664, L91 (2007).
  95. T. Linden, K. Auchettl, J. Bramante, I. Cholis, K. Fang, D. Hooper, T. Karwal, and S. W. Li, Phys. Rev. D 96, 103016 (2017).
  96. G. Giacinti, A. M. W. Mitchell, R. López-Coto, V. Joshi, R. D. Parsons, and J. A. Hinton, Astron. Astrophys. 636, A113 (2020).
  97. R. López-Coto, E. de Oña Wilhelmi, F. Aharonian, E. Amato, and J. Hinton, Nat. Astron. 6, 199 (2022).
  98. K. Fang, Front. Astron. Space Sci. 9, 1022100 (2022).
  99. R.-Y. Liu, Int. J. Mod. Phys. A 37, 2230011 (2022).
  100. S. Recchia, M. Di Mauro, F. A. Aharonian, L. Orusa, F. Donato, S. Gabici, and S. Manconi, Phys. Rev. D 104, 123017 (2021).
  101. L.-Z. Bao, K. Fang, X.-J. Bi, and S.-H. Wang, Astrophys. J. 936, 183 (2022).
  102. P. Mukhopadhyay and T. Linden, Phys. Rev. D 105, 123008 (2022).
  103. X.-J. Bi, arXiv:2308.08099.
  104. P. Martin, A. Marcowith, and L. Tibaldo, Astron. Astrophys. 665, A132 (2022).
  105. T. A. Porter, G. Jóhannesson, and I. V. Moskalenko, Astrophys. J. Suppl. Ser. 262, 30 (2022).
  106. M.-J. Zhao, K. Fang, and X.-J. Bi, Phys. Rev. D 104, 123001 (2021).
  107. H. Jacobs, P. Mertsch, and V. H. M. Phan, Mon. Not. R. Astron. Soc. 526, 160 (2023).
  108. M. Di Mauro, F. Donato, N. Fornengo, R. Lineros, and A. Vittino, J. Cosmol. Astropart. Phys. 04 (2014) 006.
  109. K. Fang, X.-J. Bi, and P.-F. Yin, Astrophys. J. 884, 124 (2019).
  110. J. P. W. Verbiest, J. M. Weisberg, A. A. Chael, K. J. Lee, and D. R. Lorimer, Astrophys. J. 755, 39 (2012).
  111. R. N. Manchester, G. B. Hobbs, A. Teoh, and M. Hobbs, Astron. J. 129, 1993 (2005).
  112. T. M. Tauris and R. N. Manchester, Mon. Not. R. Astron. Soc. 298, 625 (1998).
  113. S. Kisaka and N. Kawanaka, Mon. Not. R. Astron. Soc. 421, 3543 (2012).
  114. D. Song, O. Macias, S. Horiuchi, R. M. Crocker, and D. M. Nataf, Mon. Not. R. Astron. Soc. 507, 5161 (2021).
  115. R. M. Crocker, O. Macias, D. Mackey, M. R. Krumholz, S. Ando, S. Horiuchi, M. G. Baring, C. Gordon, T. Venville, A. R. Duffy, R.-Z. Yang, F. Aharonian, J. A. Hinton, D. Song, A. J. Ruiter, and M. D. Filipović, Nat. Astron. 6, 1317 (2022).
  116. F. Zimmer, O. Macias, S. Ando, R. M. Crocker, and S. Horiuchi, Mon. Not. R. Astron. Soc. 516, 4469 (2022).
  117. D. Hooper and T. Linden, Phys. Rev. D 105, 103013 (2022).
  118. K. Ioka, T. Matsumoto, Y. Teraki, K. Kashiyama, and K. Murase, Mon. Not. R. Astron. Soc. 470, 3332 (2017).
  119. D. Tsuna and N. Kawanaka, Mon. Not. R. Astron. Soc. 488, 2099 (2019).
  120. S. Safi-Harb, B. Mac Intyre, S. Zhang, I. Pope, S. Zhang, N. Saffold, K. Mori, E. V. Gotthelf, F. Aharonian, M. Band, C. Braun, K. Fang, C. Hailey, M. Nynka, and C. D. Rho, Astrophys. J. 935, 163 (2022).
  121. K. Kashiyama, K. Ioka, and N. Kawanaka, Phys. Rev. D 83, 023002 (2011).
  122. G. Bertone, D. Hooper, and J. Silk, Phys. Rep. 405, 279 (2005).
  123. K. Murase and J. F. Beacom, J. Cosmol. Astropart. Phys. 10 (2012) 043.
  124. T. Cohen, K. Murase, N. L. Rodd, B. R. Safdi, and Y. Soreq, Phys. Rev. Lett. 119, 021102 (2017).
  125. J. Smirnov and J. F. Beacom, Phys. Rev. D 100, 043029 (2019).
  126. I. John and T. Linden, J. Cosmol. Astropart. Phys. 12 (2021) 007.
  127. Z. Cao et al. (LHAASO Collaboration), Phys. Rev. Lett. 129, 261103 (2022).
  128. B.-Y. Zhu and Y.-F. Liang, Phys. Rev. D 107, 123027 (2023).
  129. R. Aloisio, V. Berezinsky, and A. Gazizov, Astrophys. J. 693, 1275 (2009).
  130. B. Schroer, C. Evoli, and P. Blasi, Phys. Rev. D 107, 123020 (2023).
  131. M. Haverkorn, J. C. Brown, B. M. Gaensler, and N. M. McClure-Griffiths, Astrophys. J. 680, 362 (2008).
  132. A. Chepurnov and A. Lazarian, Astrophys. J. 710, 853 (2010).
  133. M. Iacobelli et al., Astron. Astrophys. 558, A72 (2013).
  134. R. López-Coto and G. Giacinti, Mon. Not. R. Astron. Soc. 479, 4526 (2018).
  135. C. Evoli, D. Gaggero, A. Vittino, G. Di Bernardo, M. Di Mauro, A. Ligorini, P. Ullio, and D. Grasso, J. Cosmol. Astropart. Phys. 02 (2017) 015.
  136. C. Evoli, R. Aloisio, and P. Blasi, Phys. Rev. D 99, 103023 (2019).
  137. G. Schwefer, P. Mertsch, and C. Wiebusch, Astrophys. J. 949, 16 (2023).
  138. F. Effenberger, H. Fichtner, K. Scherer, and I. Büsching, Astron. Astrophys. 547, A120 (2012).
  139. C. Evoli, D. Gaggero, D. Grasso, and L. Maccione, Phys. Rev. Lett. 108, 211102 (2012).
  140. R. Kumar and D. Eichler, Astrophys. J. 785, 129 (2014).
  141. P. Mertsch and S. Funk, Phys. Rev. Lett. 114, 021101 (2015).
  142. M. Ahlers, Phys. Rev. Lett. 117, 151103 (2016).
  143. M. Ahlers and P. Mertsch, Prog. Part. Nucl. Phys. 94, 184 (2017).
  144. M. Kachelrieß, J. Phys. Conf. Ser. 1181, 012039 (2019).
  145. H. Yan and A. Lazarian, Astrophys. J. 673, 942 (2008).
  146. A. Shalchi, Space Sci. Rev. 216, 23 (2020).
  147. A. Shalchi, Astrophys. J. 923, 209 (2021).
  148. F. Casse, M. Lemoine, and G. Pelletier, Phys. Rev. D 65, 023002 (2001).
  149. D. DeMarco, P. Blasi, and T. Stanev, J. Cosmol. Astropart. Phys. 06 (2007) 027.
  150. A. Shalchi, I. Büsching, A. Lazarian, and R. Schlickeiser, Astrophys. J. 725, 2117 (2010).
  151. G. Giacinti, M. Kachelrieß, and D. V. Semikoz, J. Cosmol. Astropart. Phys. 07 (2018) 051.
  152. P. Reichherzer, L. Merten, J. Dörner, J. Becker Tjus, M. J. Pueschel, and E. G. Zweibel, SN Appl. Sci. 4, 15 (2022).
  153. M. Kuhlen, V. H. M. Phan, and P. Mertsch, arXiv:2211.05881.
  154. M. Kuhlen, V. H. M. Phan, and P. Mertsch, arXiv:2211.05882.
  155. S. M. Adams, C. S. Kochanek, J. F. Beacom, M. R. Vagins, and K. Z. Stanek, Astrophys. J. 778, 164 (2013).
  156. S. S. Cerri, D. Gaggero, A. Vittino, C. Evoli, and D. Grasso, J. Cosmol. Astropart. Phys. 10 (2017) 019.
  157. G. Giacinti and D. Semikoz, arXiv:2305.10251.
  158. Cherenkov Telescope Array Consortium, Science with the Cherenkov Telescope Array (World Scientific, Singapore, 2019), 10.1142/10986.
  159. D. Kyratzis (HERD Collaboration), Phys. Scr. 97, 054010 (2022).
  160. E. Berti, N. Mori, L. Pacini, and O. Starodubtsev (HERD Collaboration), Proc. Sci. ECRS2023 (2023) 146.
  161. M. Di Mauro, F. Donato, M. Korsmeier, S. Manconi, and L. Orusa, Phys. Rev. D 108, 063024 (2023).
  162. I. V. Moskalenko, T. A. Porter, and A. W. Strong, Astrophys. J. Lett. 640, L155 (2006).
  163. S. Vernetto and P. Lipari, Phys. Rev. D 94, 063009 (2016).
  164. C. C. Popescu, R. Yang, R. J. Tuffs, G. Natale, M. Rushton, and F. Aharonian, Mon. Not. R. Astron. Soc. 470, 2539 (2017).
  165. M. Ackermann et al., Astrophys. J. 750, 3 (2012).
  166. M. Ackermann et al., Astrophys. J. 799, 86 (2015).
  167. R. Zhang, X. Huang, Z.-H. Xu, S. Zhao, and Q. Yuan, arXiv:2305.06948.
  168. A. M. Taylor, S. Gabici, and F. Aharonian, Phys. Rev. D 89, 103003 (2014).
  169. A. Neronov, M. Kachelrieß, and D. V. Semikoz, Phys. Rev. D 98, 023004 (2018).
  170. P. Blasi and E. Amato, Phys. Rev. Lett. 122, 051101 (2019).
  171. S. Recchia, S. Gabici, F. A. Aharonian, and V. Niro, Astrophys. J. 914, 135 (2021).
  172. M. Bouyahiaoui, M. Kachelrieß, and D. V. Semikoz, Phys. Rev. D 101, 123023 (2020).
  173. D. Khangulyan, M. Arakawa, and F. Aharonian, Mon. Not. R. Astron. Soc. 491, 3217 (2020).
  174. R.-Y. Liu and X.-Y. Wang, Astrophys. J. 922, 221 (2021).
  175. Z. Cao et al., Nature (London) 594, 33 (2021).
  176. Z. Cao et al. arXiv:2305.17030.
  177. T. Sudoh and J. F. Beacom, Phys. Rev. D 107, 043002 (2023).
  178. A. Albert et al. arXiv:1902.08429.
  179. B. Bartoli et al. (ARGO-YBJ Collaboration), Astrophys. J. 809, 90 (2015).
  180. M. G. Aartsen et al. (IceCube Collaboration), Astrophys. J. 826, 220 (2016).
  181. M. Amenomori et al. (Tibet ASγ Collaboration), Astrophys. J. 836, 153 (2017).
  182. A. U. Abeysekara et al., Astrophys. J. 865, 57 (2018).
  183. A. Aab et al. (Pierre Auger Collaboration), Astrophys. J. Lett. 853, L29 (2018).
  184. N. A. Schwadron, F. C. Adams, E. R. Christian, P. Desiati, P. Frisch, H. O. Funsten, J. R. Jokipii, D. J. McComas, E. Moebius, and G. P. Zank, Science 343, 988 (2014).
  185. V. Savchenko, M. Kachelrieß, and D. V. Semikoz, Astrophys. J. Lett. 809, L23 (2015).
  186. M. Zhang, N. V. Pogorelov, Y. Zhang, H. B. Hu, and R. Schlickeiser, Astrophys. J. 889, 97 (2020).
  187. K. Fang, X.-J. Bi, and P.-F. Yin, Astrophys. J. 903, 69 (2020).
  188. G. Giacinti and G. Sigl, Phys. Rev. Lett. 109, 071101 (2012).
  189. V. López-Barquero, R. Farber, S. Xu, P. Desiati, and A. Lazarian, Astrophys. J. 830, 19 (2016).
  190. C. Evoli, D. Gaggero, A. Vittino, M. Di Mauro, D. Grasso, and M. N. Mazziotta, J. Cosmol. Astropart. Phys. 07 (2018) 006.
  191. T. Sudoh and J. F. Beacom, Phys. Rev. D 107, 043002 (2023).
  192. T. Sudoh and J. F. Beacom, Phys. Rev. D 108, 043016 (2023).
  193. P. D. Marinos, G. P. Rowell, T. A. Porter, and G. Jóhannesson, Mon. Not. R. Astron. Soc. 518, 5036 (2023).
  194. R. Abbasi et al. (IceCube Collaboration), Science 380, adc9818 (2023).
  195. R. Abbasi et al., Astrophys. J. 956, 20 (2023).
  196. M. G. Aartsen et al. (IceCube-Gen2 Collaboration), J. Phys. G 48, 060501 (2021).
  197. S. Adrian-Martinez et al. (KM3Net Collaboration), J. Phys. G 43, 084001 (2016).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation