• [1]

    O. Adriani, G. C. Barbarino, G. A. Bazilevskaya et al., Nature, 458: 607 (2009)

  • [2]

    A. A. Abdo, M. Ackermann, M. Ajello et al., Physical Review Letters, 102: 181101 (2009)

  • [3]

    M. Aguilar, L. Ali Cavasonza, G. Ambrosi et al., Physical Review Letters, 122: 041102 (2019)

  • [4]

    M. Aguilar, D. Aisa, A. Alvino et al., Physical Review Letters, 113: 121102 (2014)

  • [5]

    X. Li, Z.-Q. Shen, B.-Q. Lu et al., Physics Letters B, 749: 267 (2015)

  • [6]

    DAMPE Collaboration, G. Ambrosi, Q. An et al., Nature, 552: 63 (2017)

  • [7]

    M. Aguilar, L. Ali Cavasonza, B. Alpat et al., Physical Review Letters, 122: 101101 (2019)

  • [8]

    F. Aharonian, A. G. Akhperjanian, G. Anton et al., A&A, 508: 561 (2009)

  • [9]

    D. Kerszberg, for the HESS collaboration. 2017

  • [10]

    D. Borla Tridon, International Cosmic Ray Conference, 6: 47 (2011)

  • [11]

    A. Archer, W. Benbow, R. Bird et al., Phys. Rev. D, 98: 062004 (2018)

  • [12]

    S. Profumo, Central European Journal of Physics, 10: 1 (2012)

  • [13]

    H. Yüksel, M. D. Kistler, and T. Stanev, Physical Review Letters, 103: 051101 (2009)

  • [14]

    Y. Fujita, K. Kohri, R. Yamazaki et al., Phys. Rev. D, 80: 063003 (2009)

  • [15]

    W. Liu, X.-J. Bi, S.-J. Lin et al., Phys. Rev. D, 96: 023006 (2017)

  • [16]

    L. Bergström, J. Edsjö, and g. Zaharijas, Physical Review Letters, 103: 031103 (2009)

  • [17]

    P.-F. Yin, Q. Yuan, J. Liu et al., Phys. Rev. D, 79: 023512 (2009)

  • [18]

    M. A.Malkov, P. H. Diamond and R. Z. Sagdeev, Phys. Rev. D, 94: 063006 (2016)

  • [19]

    X.-J. Bi, P.-F. Yin, and Q. Yuan, Frontiers of Physics, 8: 794 (2013)

  • [20]

    Y.-Z. Fan, B. Zhang, and J. Chang, International Journal of Modern Physics D, 19: 2011 (2010)

  • [21]

    G. Vannoni, S. Gabici, and F. A. Aharonian, A&A, 497: 17 (2009)

  • [22]

    C. Jin, W. Liu, and H.-B. Hu et al., Phys. Rev. D, 97: 123005 (2018)

  • [23]

    B. Wang, Q. Yuan, C. Fan et al., Science China Physics, Mechanics, and Astronomy, 53: 842 (2010)

  • [24]

    N. Tomassetti, ApJ, 752: L13 (2012)

  • [25]

    C. Evoli, D. Gaggero, and D. Grasso, J. Cosmology Astropart. Phys., 2015: 039 (2015)

  • [26]

    O. Adriani, G. C. Barbarino, G. A. Bazilevskaya et al., Science, 332: 69 (2011)

  • [27]

    J. Feng, N. Tomassetti, and A. Oliva, Phys. Rev. D, 94: 123007 (2016)

  • [28]

    Y.-Q. Guo, Z. Tian, and C. Jin, ApJ, 819: 54 (2016)

  • [29]

    W. Liu, Y.-h. Yao, and Y.-Q. Guo, ApJ, 869: 176 (2018)

  • [30]

    A. A. Abdo, B. T. Allen, T. Aune et al., ApJ, 700: L127 (2009)

  • [31]

    A. U. Abeysekara, A. Albert, R. Alfaro et al., Science, 358: 911 (2017)

  • [32]

    M. DI MAURO, S. MANCONI, F. DONATO, 2019, in AAS/High Energy Astrophysics Division, AAS/High Energy Astrophysics Division, 112.35

  • [33]

    N. Tomassetti, Phys. Rev. D, 92: 081301 (2015)

  • [34]

    D. Benyamin, E. Nakar, T. Piran et al., ApJ, 826: 47 (2016)

  • [35]

    D. Gaggero, L. Maccione, G. Di Bernardo et al., Physical Review Letters, 111: 021102 (2013)

  • [36]

    T. A. Porter, G. Jóhannesson, and I. V. Moskalenko, ApJ, 846: 67 (2017)

  • [37]

    D. Maurin, F. Donato, R. Taillet et al., ApJ, 555: 585 (2001)

  • [38]

    A. W. Strong, I. V. Moskalenko, and V. S. Ptuskin, Annual Review of Nuclear and Particle Science, 57: 285 (2007)

  • [39]

    A. D. Erlykin and A. W. Wolfendale, Astroparticle Physics, 42: 70 (2013)

  • [40]

    P. Blasi, E. Amato, and P. D. Serpico, Physical Review Letters, 109: 061101 (2012)

  • [41]

    W. I. Axford, E. Leer, G. Skadron, 1977, in International Cosmic Ray Conference, Vol. 11, International Cosmic Ray Conference, 132

  • [42]

    R. D. Blandford and J. P. Ostriker, ApJ, 221: L29 (1978)

  • [43]

    G. Jóhannesson, R. Ruiz de Austri, A. C. Vincent et al., ApJ, 824: 16 (2016)

  • [44]

    R. Trotta, G. Jóhannesson, I. V. Moskalenko et al., ApJ, 729: 106 (2011)

  • [45]

    M. Ackermann, M. Ajello, A. Allafort et al., Science, 339: 807 (2013)

  • [46]

    A. Neronov, D. V. Semikoz, and A. M. Taylor, Phys. Rev. Lett., 108: 051105 (2012)

  • [47]

    A. W. Strong, E. Orlando, and T. R. Jaffe, A&A, 534: A54 (2011)

  • [48]

    Y. Zhang, S. Liu, and Q. Yuan, ApJ, 844: L3 (2017)

  • [49]

    F. A. Aharonian, Space Sci. Rev., 99: 187 (2001)

  • [50]

    I. V. Moskalenko, A. W. Strong, J. F. Ormes et al., ApJ, 565: 280 (2002)

  • [51]

    I. V. Moskalenko and A. W. Strong, ApJ, 493: 694 (1998)

  • [52]

    T. Delahaye, J. Lavalle, R. Lineros et al., A&A, 524: A51 (2010)

  • [53]

    C. Evoli, D. Gaggero, A. Vittino et al., J. Cosmology Astropart. Phys., 2: 015 (2017)

  • [54]

    T. Delahaye, R. Lineros, F. Donato et al., A&A, 501: 821 (2009)

  • [55]

    Q. Yuan and X.-J. Bi, J. Cosmology Astropart. Phys., 2015: 033 (2015)

  • [56]

    S.-J. Lin, Q. Yuan, and X.-J. Bi, Phys. Rev. D, 91: 063508 (2015)

  • [57]

    W. H. Press, S. A. Teukolsky, W. T. Vetterling et al, 2002, Numerical recipes in C++ : the art of scientific computing

  • [58]

    J. S. Perko, A&A, 184: 119 (1987)

  • [59]

    E. S. Levine, L. Blitz, and C. Heiles, Science, 312: 1773 (2006)

  • [60]

    H. Weaver, 1970, in IAU Symposium, Vol. 38, The Spiral Structure of our Galaxy, ed. W. Becker & G. I. Kontopoulos, 126

  • [61]

    D. A. Green, MNRAS, 454: 1517 (2015)

  • [62]

    J. P. Vallée, ApJ, 566: 261 (2002)

  • [63]

    J. P. Vallée, New A Rev., 79: 49 (2017)

  • [64]

    C.-A. Faucher-Giguère and V. M. Kaspi, ApJ, 643: 332 (2006)

  • [65]

    N. Kawanaka, K. Ioka, and M. M. Nojiri, ApJ, 710: 958 (2010)

  • [66]

    G. Bernard, T. Delahaye, P. Salati et al., A&A, 544: A92 (2012)

  • [67]

    P. Mertsch, J. Cosmology Astropart. Phys., 2: 31 (2011)

  • [68]

    K. Fang, X.-J. Bi, and P.-F. Yin, ApJ, 854: 57 (2018)

  • [69]

    T. Kobayashi, Y. Komori, K. Yoshida et al., ApJ, 601: 340 (2004)

  • [70]

    D. Malyshev and D. W. Hogg, ApJ, 738: 181 (2011)

  • [71]

    S. Kisaka and N. Kawanaka, MNRAS, 421: 3543 (2012)

  • [72]

    M. Aguilar, D. Aisa, B. Alpat et al., Physical Review Letters, 114: 171103 (2015)

  • [73]

    M. Aguilar, L. Ali Cavasonza, G. Ambrosi et al., Phys. Rev. Lett., 120: 021101 (2018)

  • [74]

    M. Aguilar, L. Ali Cavasonza, B. Alpat et al., Physical Review Letters, 119: 251101 (2017)

  • [75]

    Y. S. Yoon, T. Anderson, A. Barrau et al., ApJ, 839: 5 (2017)

  • [76]

    Q. An, R. Asfandiyarov, P. Azzarello et al., Measurement of the cosmic ray proton spectrum from 40 GeV to 100 TeV with the DAMPE satellite. Science Advances, 5(9):eaax3793, September 2019

  • [77]

    O. Adriani, Y. Akaike, K. Asano, et al., Direct Measurement of the Cosmic-Ray Proton Spectrum from 50 GeV to 10 TeV with the Calorimetric Electron Telescope on the International Space Station. Physical Review Letters, 122(18):181102, May 2019

  • [78]

    S. Recchia, S. Gabici, F. A. Aharonian et al., Phys. Rev. D, 99: 103022 (2019)

  • [79]

    O. Adriani, Y. Akaike, K. Asano et al., Phys. Rev. Lett., 120: 261102 (2018)

  • [80]

    M. Ahlers, Physical Review Letters, 117: 151103 (2016)

  • [81]

    W. Liu, Y.-Q. Guo, and Q. Yuan, J. Cosmology Astropart. Phys., 2019: 010 (2019)

  • [82]

    S. Abdollahi, M. Ackermann, M. Ajello et al., Physical Review Letters, 118: 091103 (2017)

  • [83]

    R. N. Manchester, G. B. Hobbs, A. Teoh et al., AJ, 129: 1993 (2005)

  • [84]

    Z. Cao, Chinese Physics C, 34: 249 (2010)

  • [85]

    S. N. Zhang, O. Adriani, S. Albergo et al., 2014, in Proc. SPIE, Vol. 9144, Space Telescopes and Instrumentation 2014: Ultraviolet to Gamma Ray, 91440X