- Access by Xinjiang University
Pinning down the cosmic ray source mechanism with new IceCube data
Phys. Rev. D 89, 083003 – Published 4 April, 2014
DOI: https://doi.org/10.1103/PhysRevD.89.083003
Abstract
Very recently the IceCube Collaboration has reported an observation of 28 neutrino candidates with energies between 50 TeV and 2 PeV, constituting a excess compared to the atmospheric background. In this article we investigate the compatibility between the data and a hypothesized unbroken power-law neutrino spectrum for various values of spectral index . We show that is consistent at the level with the observed events up to 2 PeV and to the null observation of events at higher energies. We then assume that the sources of this unbroken spectrum are Galactic, and deduce (i) an energy-transfer fraction from parent protons to pions (finding and ), and (ii) a way of discriminating among models which have been put forth to explain the “knee” and “ankle” features of the cosmic ray spectrum. Future IceCube data will test the unbroken power-law hypothesis and provide a multimessenger approach to explaining features of the cosmic ray spectrum, including the transition from Galactic to extragalactic dominance.
Article Text
References (44)
- M. G. Aartsen et al. (IceCube Collaboration), Phys. Rev. Lett. 111, 021103 (2013).
- V. S. Berezinsky and G. T. Zatsepin, Phys. Lett. 28B, 423 (1969).
- M. G. Aartsen et al. (IceCube Collaboration), Science 342, 1242856 (2013); F. Halzen, arXiv:1308.3171.
- S. Schonert, T. K. Gaisser, E. Resconi, and O. Schulz, Phys. Rev. D 79, 043009 (2009).
- M. Ahlers and K. Murase, arXiv:1309.4077.
- I. Cholis and D. Hooper, J. Cosmol. Astropart. Phys. 06 (2013) 030; M. D. Kistler, T. Stanev, and H. Yuksel, arXiv:1301.1703; O. E. Kalashev, A. Kusenko, and W. Essey, Phys. Rev. Lett. 111, 041103 (2013); F. W. Stecker, Phys. Rev. D 88, 047301 (2013); K. Murase and K. Ioka, Phys. Rev. Lett. 111, 121102 (2013); K. Murase, M. Ahlers, and B. C. Lacki, Phys. Rev. D 88, 121301 (2013).
- B. Feldstein, A. Kusenko, S. Matsumoto, and T. T. Yanagida, Phys. Rev. D 88, 015004 (2013); V. Barger and W.-Y. Keung, Phys. Lett. B 727, 190 (2013).
- L. A. Anchordoqui, V. Barger, I. Cholis, H. Goldberg, D. Hooper, A. Kusenko, J. G. Learned, D. Marfatia, S. Pakvasa, T. C. Paul, and T. J. Weiler, J. High Energy Astrophys. 1–2, 1 (2014).
- G. J. Feldman and R. D. Cousins, Phys. Rev. D 57, 3873 (1998).
- R. Laha, J. F. Beacom, B. Dasgupta, S. Horiuchi, and K. Murase, Phys. Rev. D 88, 043009 (2013).
- R. Abbasi et al. (HiRes Collaboration), Phys. Rev. Lett. 100, 101101 (2008); J. Abraham et al. (Pierre Auger Collaboration), 101, 061101 (2008).
- J. R. Hörandel, Astropart. Phys. 19, 193 (2003); P. Blasi and E. Amato, J. Cosmol. Astropart. Phys. 01 (2012) 010.
- T. Abu-Zayyad et al., Astrophys. J. 557, 686 (2001).
- For a review see, e.g., J. Blümer, R. Engel, and J. R. Hörandel, Prog. Part. Nucl. Phys. 63, 293 (2009).
- M. Hillas, Phys. Lett. 24A, 677 (1967); V. Berezinsky, A. Z. Gazizov, and S. I. Grigorieva, Phys. Rev. D 74, 043005 (2006).
- J. Linsley, 8th ICRC, Jaipur, India, 1963; C. T. Hill and D. N. Schramm, Phys. Rev. D 31, 564 (1985).
- Sources with sufficient energetics are discussed in L. A. Anchordoqui, H. Goldberg, F. Halzen, and T. J. Weiler, Phys. Lett. B 593, 42 (2004); L. A. Anchordoqui, J. F. Beacom, H. Goldberg, S. Palomares-Ruiz, and T. J. Weiler, Phys. Rev. D 75, 063001 (2007); P. Blasi, R. I. Epstein, and A. V. Olinto, Astrophys. J. 533, L123 (2000); K. Fang, K. Kotera, and A. V. Olinto, J. Cosmol. Astropart. Phys. 03 (2013) 010; P. L. Biermann, G. A. Medina-Tanco, R. Engel, and G. Pugliese, Astrophys. J. 604, L29 (2004).
- M. Ahlers, L. A. Anchordoqui, H. Goldberg, F. Halzen, A. Ringwald, and T. J. Weiler, Phys. Rev. D 72, 023001 (2005).
- P. L. Biermann, Astron. Astrophys. 271, 649 (1993); P. L. Biermann, T. K. Gaisser, and T. Stanev, Phys. Rev. D 51, 3450 (1995); A. M. Hillas, J. Phys. G 31, R95 (2005).
- S. I. Syrovatskii, Comments Astrophys. Space Phys. 3, 155 (1971); V. S. Ptuskin, S. I. Rogovaya, V. N. Zirakashvili, L. G. Chuvilgin, G. B. Khristiansen, E. G. Klepach, and G. V. Kulikov, Astron. Astrophys. 268, 726 (1993); J. Candia, S. Mollerach, and E. Roulet, J. Cosmol. Astropart. Phys. 05 (2003) 003.
- J. Candia and E. Roulet, J. Cosmol. Astropart. Phys. 09 (2003) 005; J. Candia, 11 (2005) 002.
- T. K. Gaisser, Cosmic Rays and Particle Physics (Cambridge University Press, Cambridge, UK, 1990).
- M. Gupta and W. R. Webber, Astrophys. J. 340, 1124 (1989); S. P. Swordy, J. L’Heureux, P. Meyer, and D. Muller, 403, 658 (1993).
- P. Blasi and E. Amato, J. Cosmol. Astropart. Phys. 01 (2012) 011.
- A. Neronov, D. V. Semikoz, and C. Tchernin, arXiv:1307.2158.
- S. Razzaque, Phys. Rev. D 88, 081302 (2013).
- A. Levinson and E. Waxman, Phys. Rev. Lett. 87, 171101 (2001); C. Distefano, D. Guetta, E. Waxman, and A. Levinson, Astrophys. J. 575, 378 (2002).
- M. M. Reynoso, G. E. Romero, and H. R. Christiansen, Mon. Not. R. Astron. Soc. 387, 1745 (2008).
- T. K. Gaisser, F. Halzen, and T. Stanev, Phys. Rep. 258, 173 (1995); 271, 355(E) (1996).
- T. K. Gaisser, arXiv:astro-ph/0501195.
- T. K. Gaisser, J. Phys. Conf. Ser. 47, 15 (2006).
- W. D. Apel et al., Astropart. Phys. 47, 54 (2013).
Though the damped pion decay chain does not yield flavor equipartition on Earth, any deviation from falls in the range of uncertainty.
Resonant interactions produce twice as many neutral pions as charged pions. Direct pion production via virtual meson exchange contributes about 20% to the total cross section, almost exclusively producing . Hence, interactions produce roughly equal numbers of and .
- G. M. Frichter, T. K. Gaisser, and T. Stanev, Phys. Rev. D 56, 3135 (1997).
- F. W. Stecker, Phys. Rev. Lett. 21, 1016 (1968).
- M. C. Chantell et al. (CASA-MIA Collaboration), Phys. Rev. Lett. 79, 1805 (1997).
We thank Soeb Razzaque for pointing this out.
- A. Borione et al., Astrophys. J. 493, 175 (1998).
- M. G. Aartsen et al. (IceCube Collaboration), Phys. Rev. D 87, 062002 (2013).
- A. Gupta, S. Mathur, Y. Krongold, F. Nicastro, and M. Galeazzi, Astrophys. J. 756, L8 (2012).
- F. C. Jones, A. Lukasiak, V. Ptuskin, and W. Webber, arXiv:astro-ph/0007293; V. S. Ptuskin, O. N. Strelnikova, and L. G. Sveshnikova, Astropart. Phys. 31, 284 (2009); V. Ptuskin, 39–40, 44 (2012).
- P. Lipari, arXiv:1308.2086.
- E. Waxman and J. N. Bahcall, Phys. Rev. D 59, 023002 (1998).