• [1]

    J. J. Beatty et al., Phys. Rev. Lett. 93, 241102 (2004), arXiv:astro-ph/0412230 [astro-ph

  • [2]

    O. Adriani et al. (PAMELA Collaboration), Nature 458, 607-609 (2009), arXiv:0810.4995 [astro-ph

  • [3]

    M. Ackermann et al. (Fermi-LAT Collaboration), Phys. Rev. Lett. 108, 011103 (2012), arXiv:1109.0521 [astro-ph.HE

  • [4]

    L. Accardo et al. (AMS Collaboration), Phys. Rev. Lett. 113, 121101 (2014

  • [5]

    J. Kopp, Phys. Rev. D 88, 076013 (2013), arXiv:1304.1184 [hep-ph

  • [6]

    L. Bergstrom, T. Bringmann, I. Cholis et al., Phys. Rev. Lett. 111, 171101 (2013), arXiv:1306.3983 [astro-ph.HE

  • [7]

    A. Ibarra, A. S. Lamperstorfer, and J. Silk, Phys. Rev. D 89(6), 063539 (2014), arXiv:1309.2570 [hep-ph

  • [8]

    H.-B. Jin, Y.-L. Wu, and Y.-F. Zhou, JCAP 1311, 026 (2013), arXiv:1304.1997 [hep-ph

  • [9]

    O. Adriani et al., JETP Lett. 96 (2013) 621−627. [Pisma Zh. Eksp. Teor. Fiz.96, 693(2012)]

  • [10]

    K. Abe et al., Phys. Rev. Lett. 108, 051102 (2012), arXiv:1107.6000 [astro-ph.HE

  • [11]

    M. Aguilar et al. (AMS Collaboration), Phys. Rev. Lett. 117(9), 091103 (2016

  • [12]

    G. Giesen, M. Boudaud, Y. Génolini et al., JCAP 1509(09), 023 (2015), arXiv:1504.04276 [astro-ph.HE

  • [13]

    H.-B. Jin, Y.-L. Wu, and Y.-F. Zhou, Phys. Rev. D 92(5), 055027 (2015), arXiv:1504.04604 [hep-ph

  • [14]

    S.-J. Lin, X.-J. Bi, J. Feng et al., Phys. Rev. D 96(12), 123010 (2017), arXiv:1612.04001 [astro-ph.HE

  • [15]

    A. Reinert and M. W. Winkler, JCAP 1801(01), 055 (2018), arXiv:1712.00002 [astro-ph.HE

  • [16]

    F. Donato, N. Fornengo, and P. Salati, Phys. Rev. D 62, 043003 (2000), arXiv:hep-ph/9904481 [hep-ph

  • [17]

    E. Carlson, A. Coogan, T. Linden et al., Phys. Rev. D 89(7), 076005 (2014), arXiv:1401.2461 [hep-ph

  • [18]

    M. Cirelli, N. Fornengo, M. Taoso et al., JHEP 08, 009 (2014), arXiv:1401.4017 [hep-ph

  • [19]

    AMS Collaboration, F. Giovacchini, and V. Choutko, in Proceedings, 30th International Cosmic Ray Conference (ICRC 2007): Merida, Yucatan, Mexico, July 3-11, 2007, vol. 4, pp. 765−768. 2007 http://indico.nucleares.unam.mx/contributionDisplay.py?contribId=1112&confId=4

  • [20]

    A. Kounine, arXiv: 1009.5349 [astro-ph.HE]

  • [21]

    T. Aramaki et al. (GAPS Collaboration), Astropart. Phys. 74, 6-13 (2016), arXiv:1506.02513 [astro-ph.HE

  • [22]

    Y.-C. Ding, N. Li, C.-C. Wei et al., JCAP 1906(06), 004 (2019), arXiv:1808.03612 [hep-ph

  • [23]

    P. von Doetinchem et al., arXiv: 2002.04163 [astro-ph.HE]

  • [24]

    T. Sjostrand, S. Mrenna, and P. Z. Skands, JHEP 05, 026 (2006), arXiv:hep-ph/0603175 [hep-ph

  • [25]

    T. Sjöstrand, S. Ask, J. R. Christiansen et al., Comput. Phys. Commun. 191, 159-177 (2015), arXiv:1410.3012 [hep-ph

  • [26]

    K. Werner, F.-M. Liu, and T. Pierog, Phys. Rev. C 74, 044902 (2006), arXiv:hep-ph/0506232 [hep-ph

  • [27]

    T. Pierog, I. Karpenko, J. M. Katzy et al., Phys. Rev. C 92(3), 034906 (2015), arXiv:1306.0121 [hep-ph

  • [28]

    S. Roesler, R. Engel, and J. Ranft, in 27th International Cosmic Ray Conference (ICRC 2001) Hamburg, Germany, August 7-15, 2001, pp. 439−442. 2001 http://www.copernicus.org/icrc/papers/ici6589_p.pdf

  • [29]

    S. Schael et al. (ALEPH Collaboration), Phys. Lett. B 639, 192-201 (2006), arXiv:hep-ex/0604023 [hep-ex

  • [30]

    S. Henning et al. (British-Scandinavian-MIT Collaboration), Lett. Nuovo Cim. 21, 189 (1978

  • [31]

    S. Acharya et al. (ALICE Collaboration), Phys. Rev. C 97(2), 024615 (2018), arXiv:1709.08522 [nucl-ex

  • [32]

    A. U. Abeysekara et al. (HAWC Collaboration), Phys. Rev. D 97(10), 102005 (2018), arXiv:1802.08913 [astro-ph.HE

  • [33]

    A. Abramowski et al. (H. E. S. S. Collaboration), Phys. Rev. Lett. 106, 161301 (2011), arXiv:1103.3266 [astro-ph.HE

  • [34]

    H. Abdallah et al. (H. E. S. S. Collaboration), Phys. Rev. Lett. 117(11), 111301 (2016), arXiv:1607.08142 [astro-ph.HE

  • [35]

    S. T. Butler and C. A. Pearson, Phys. Rev. 129, 836-842 (1963

  • [36]

    A. Schwarzschild and C. Zupancic, Phys. Rev. 129, 854-862 (1963

  • [37]

    L. P. Csernai and J. I. Kapusta, Phys. Rept. 131, 223-318 (1986

  • [38]

    K. Blum, K. C. Y. Ng, R. Sato et al., Phys. Rev. D 96(10), 103021 (2017), arXiv:1704.05431 [astro-ph.HE

  • [39]

    T. Aramaki et al., Phys. Rept. 618, 1-37 (2016), arXiv:1505.07785 [hep-ph

  • [40]

    P. Skands, S. Carrazza, and J. Rojo, Eur. Phys. J. C 74(8), 3024 (2014), arXiv:1404.5630 [hep-ph

  • [41]

    G. Aad et al. (ATLAS Collaboration), Phys. Lett. B 705, 415-434 (2011), arXiv:1107.2381 [hep-ex

  • [42]

    T. Anticic et al. (NA49 Collaboration), Eur. Phys. J. C 65, 9-63 (2010), arXiv:0904.2708 [hep-ex

  • [43]

    V. S. Berezinsky, S. V. Bulanov, V. A. Dogiel et al., Astrophysics of cosmic rays, (1990

  • [44]

    A. W. Strong, I. V. Moskalenko, and V. S. Ptuskin, Ann. Rev. Nucl. Part. Sci. 57, 285-327 (2007), arXiv:astro-ph/0701517 [astro-ph

  • [45]

    A. W. Strong and I. V. Moskalenko, Astrophys. J. 509, 212-228 (1998), arXiv:astro-ph/9807150 [astro-ph

  • [46]

    I. V. Moskalenko, A. W. Strong, J. F. Ormes et al., Astrophys. J. 565, 280-296 (2002), arXiv:astro-ph/0106567 [astro-ph

  • [47]

    A. W. Strong and I. V. Moskalenko, Adv. Space Res. 27, 717-726 (2001), arXiv:astro-ph/0101068 [astro-ph

  • [48]

    I. V. Moskalenko, A. W. Strong, S. G. Mashnik et al., Astrophys. J. 586, 1050-1066 (2003), arXiv:astro-ph/0210480 [astro-ph

  • [49]

    V. S. Ptuskin, I. V. Moskalenko, F. C. Jones et al., Astrophys. J. 642, 902-916 (2006), arXiv:astro-ph/0510335 [astro-ph

  • [50]

    J. F. Navarro, C. S. Frenk, and S. D. M. White, Astrophys. J. 490, 493-508 (1997), arXiv:astro-ph/9611107 [astro-ph

  • [51]

    L. Bergstrom, P. Ullio, and J. H. Buckley, Astropart. Phys. 9, 137-162 (1998), arXiv:astro-ph/9712318 [astro-ph

  • [52]

    B. Moore, S. Ghigna, F. Governato et al., Astrophys. J. 524, L19-L22 (1999), arXiv:astro-ph/9907411 [astro-ph

  • [53]

    J. Diemand, B. Moore, and J. Stadel, Mon. Not. Roy. Astron. Soc. 353, 624 (2004), arXiv:astro-ph/0402267 [astro-ph

  • [54]

    J. Einasto, in Astronomy and Astrophysics 2010, [Eds. Oddbjorn Engvold, Rolf Stabell, Bozena Czerny, John Lattanzio], in Encyclopedia of Life Support Systems (EOLSS), Developed under the Auspices of the UNESCO, Eolss Publishers, Oxford, UK. 2009. arXiv: 0901.0632 [astro-ph.CO]. http://inspirehep.net/record/810367/files/arXiv:0901.0632.pdf

  • [55]

    M. Korsmeier, F. Donato, and N. Fornengo, Phys. Rev. D 97(10), 103011 (2018), arXiv:1711.08465 [astro-ph.HE

  • [56]

    L. J. Gleeson and W. I. Axford, Astrophys. J. 154, 1011 (1968

  • [57]

    H.-B. Jin, Y.-L. Wu, and Y.-F. Zhou, JCAP 1509(09), 049 (2015), arXiv:1410.0171 [hep-ph

  • [58]

    S.-J. Lin, X.-J. Bi, and P.-F. Yin, arXiv: 1801.00997 [astro-ph.HE]

  • [59]

    W. B. Atwood et al. (Fermi-LAT Collaboration), Astrophys. J. 697, 1071-1102 (2009), arXiv:0902.1089 [astro-ph.IM

  • [60]

    M. Ackermann et al. (Fermi-LAT Collaboration), Astrophys. J. 840(1), 43 (2017), arXiv:1704.03910 [astro-ph.HE

  • [61]

    M. Ackermann et al. (Fermi-LAT Collaboration), Astrophys. J. 761, 91 (2012), arXiv:1205.6474 [astro-ph.CO

  • [62]

    J. Smirnov and J. F. Beacom, Phys. Rev. D 100 (Aug, 2019) 043029. https://link.aps.org/doi/10.1103/PhysRevD.100.043029