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Ultrahigh energy cosmic rays
Rev. Mod. Phys. 83, 907 – Published 7 September, 2011
DOI: https://doi.org/10.1103/RevModPhys.83.907
Abstract
This is a review of the most resent results from the investigation of the ultrahigh energy cosmic rays, particles of energy exceeding . After a general introduction to the topic and a brief review of the lower energy cosmic rays and the detection methods, the two most recent experiments, the High Resolution Fly’s Eye and the Southern Auger Observatory, are described. Results from these two experiments on the cosmic ray energy spectrum, the chemical composition of these cosmic rays, and searches for their sources are presented. An analysis of the controversies in these results and the projects in development and construction that can help solve the remaining problems with these particles is also presented.
Article Text
References (213)
- Abbasi, R. et al. (HiRes Collaboration), 2007, Astropart. Phys. 27, 370.
- Abbasi, R. et al. (HiRes Collaboration), 2008, Phys. Rev. Lett. 100, 101101.
- Abbasi, R. U. et al. (HiRes Collaboration), 2004, Phys. Rev. Lett. 92, 151101.
- Abbasi, R. U. et al. (HiRes Collaboration), 2005a, Astropart. Phys. 23, 157.
- Abbasi, R. U. et al. (HiRes Collaboration), 2005b, Astrophys. J. 622, 910.
- Abbasi, R. U. et al. (HiRes Collaboration), 2005c, Phys. Lett. B 619, 271.
- Abbasi, R. U. et al. (HiRes Collaboration), 2008a, Astrophys. J. 684, 790.
- Abbasi, R. U. et al. (HiRes Collaboration), 2008b, Astropart. Phys. 30, 175.
- Abbasi, R. U. et al. (HiRes Collaboration), 2009, Astropart. Phys. 32, 53.
- Abbasi, R. U. et al. (HiRes Collaboration), 2010, Phys. Rev. Lett. 104, 161101.
- Abdo, A. A. et al. (Fermi LAT Collaboration), 2009, Astrophys. J. Suppl. Ser. 183, 46.
- Abraham, J. et al. (Pierre Auger Collaboration), 2004, Nucl. Instrum. Methods Phys. Res., Sect. A 523, 50.
- Abraham, J. et al. (Pierre Auger Collaboration), 2007a, Astropart. Phys. 27, 155.
- Abraham, J. et al. (Pierre Auger Collaboration), 2007b, Science 318, 938.
- Abraham, J. et al. (Pierre Auger Collaboration), 2008a, Astropart. Phys. 29, 188.
- Abraham, J. et al. (Pierre Auger Collaboration), 2008b, Phys. Rev. Lett. 101, 061101.
- Abraham, J. et al. (Pierre Auger Collaboration), 2008c, Astropart. Phys. 29, 243.
- Abraham, J. et al. (Pierre Auger Collaboration), 2008d, Phys. Rev. Lett. 100, 211101.
- Abraham, J. et al. (Pierre Auger Collaboration), 2009a, Astropart. Phys. 32, 89.
- Abraham, J. et al. (Pierre Auger Collaboration), 2009b, Phys. Rev. D 79, 102001.
- Abraham, J. et al. (Pierre Auger Collaboration), 2009c, in Proceedings of the 31st ICRC, Lodz, Poland (University of Lodz, Lodz, Poland).
- Abraham, J. et al. (Pierre Auger Collaboration), 2009d, Astropart. Phys. 31, 399.
- Abraham, J. et al. (Pierre Auger Collaboration), 2009e, in Proceedings of the 31st ICRC, Lodz, Poland (University of Lodz, Lodz, Poland).
- Abraham, J. et al. (Pierre Auger Collaboration), 2010a, Nucl. Instrum. Methods Phys. Res., Sect. A 620, 227.
- Abraham, J. et al. (Pierre Auger Collaboration), 2010b, Astropart. Phys. 33, 108.
- Abraham, J. et al. (Pierre Auger Collaboration), 2010c, Phys. Rev. Lett. 104, 091101.
- Abraham, J. et al. (Pierre Auger Collaboration), 2010d, Phys. Lett. B 685, 239.
- Abraham, J. et al. (Pierre Auger Collaboration), 2010e, Nucl. Instrum. Methods Phys. Res., Sect. A 613, 29.
- Abreu, P. et al. (Pierre Auger Collaboration), 2010, Astropart. Phys. 34, 314.
- Abu-Zayyad, T. et al., 1999, in Proceedings of the 26th ICRC, Salt Lake City, USA (University of Utah, Salt Lake City, Utah), Vol. 5, p. 349.
- Abu-Zayyad, T. et al., 2000a, Nucl. Instrum. Methods Phys. Res., Sect. A 450, 253.
- Abu-Zayyad, T. et al., 2000b, Phys. Rev. Lett. 84, 4276.
- Abu-Zayyad, T. et al., 2001, Astropart. Phys. 16, 1.
- Achterberg, A., Y. A. Gallant, J. G. Kirk, and A. W. Guthmann, 2001a, Mon. Not. R. Astron. Soc. 328, 393.
- Achterberg, A., Y. A. Gallant, J. G. Kirk, and A. W. Guthmann, 2001b, Mon. Not. R. Astron. Soc. 328, 393.
- Achterberg, A. et al. (IceCube Collaboration), 2007, Phys. Rev. D 76, 042008.
- Aglietta, M. et al. (EAS-TOP Collaboration), 2004, Astropart. Phys. 21, 583.
- Aharonian, F. et al. (HESS Collaboration), 2006a, Nature (London) 439, 695.
- Aharonian, F. et al. (HESS Collaboration), 2006b, Astrophys. J. 636, 777.
- Ahn, E.-J., R. Engel, T. K. Gaisser, P. Lipari, and T. Stanev, 2009, Phys. Rev. D 80, 094003.
- Ahn, H. et al., 2010, Astrophys. J. 714, L89.
- Allan, H. R., 1977, in Proceedings of the 15th ICRC, Plovdiv, Bulgaria (Bulgarian Academy of Sciences, Sofia, Bulgaria), Vol. 10, p. 414.
- Allard, D., E. Parizot, E. Khan, S. Goriely, and A. V. Olinto, 2005, Astron. Astrophys. 443, L29.
- Allard, D., E. Parizot, and A. V. Olinto, 2007, Astropart. Phys. 27, 61.
- Allekotte, I. et al. (Pierre Auger Collaboration), 2008, Nucl. Instrum. Methods Phys. Res., Sect. A 586, 409.
- Aloisio, R., V. Berezinsky, and A. Gazizov, 2009, arXiv:0907.5194.
- Aloisio, R. et al., 2007, Astropart. Phys. 27, 76.
- Alvarez-Muñiz, J., R. Engel, T. K. Gaisser, J. A. Ortiz, and T. Stanev, 2002, Phys. Rev. D 66, 033011.
- Amenomori, M. et al. (TIBET III Collaboration), 2008, Astrophys. J. 678, 1165.
- Antoni, T. et al. (KASCADE Collaboration), 2005, Astropart. Phys. 24, 1.
- Apel, W. D. et al., 2008, Astropart. Phys. 29, 412.
- Ardouin, D. et al. 2006, Int. J. Mod. Phys. A 21S1, 192.
- Arqueros, F., F. Blanco, and J. Rosado, 2009, New J. Phys. 11, 065011.
- Arqueros, F., J. R. Hoerandel, and B. Keilhauer, 2008, Nucl. Instrum. Methods Phys. Res., Sect. A 597, 23.
- Arqueros, F. et al., 2000, Astron. Astrophys. 359, 682.
- Ave, M., J. A. Hinton, R. A. Vazquez, A. A. Watson, and E. Zas, 2002, Phys. Rev. D 65, 063007.
- Ave, M. et al. (AIRFLY Collaboration), 2008, Nucl. Instrum. Methods Phys. Res., Sect. A 597, 46.
- Axford, W., E. Lear, and G. Skadron, 1977, in Proceedings of the 17th ICRC (Plovdiv, Bulgaria) (Bulgarian Academy of Sciences, Sofia, Bulgaria), Vol. 11, p. 132.
- Bahcall, J. N., and E. Waxman, 2003, Phys. Lett. B 556, 1.
- Baltrusaitis, R. et al., 1985, Nucl. Instrum. Methods Phys. Res., Sect. A 240, 410.
- Beatty, J., and S. Westerhoff, 2009, Annu. Rev. Nucl. Part. Sci. 59, 319.
- Beck, R., 2001, Space Sci. Rev. 99, 243.
- Bell, A. R., 1978, Mon. Not. R. Astron. Soc. 182, 443.
- Bell, A. R., 2004, Mon. Not. R. Astron. Soc. 353, 550.
- Berezhko, E. G., 1996, Astropart. Phys. 5, 367.
- Berezinsky, V., 1999, Nucl. Phys. B, Proc. Suppl. 70, 419.
- Berezinsky, V., P. Blasi, and A. Vilenkin, 1998, Phys. Rev. D 58, 103515.
- Berezinsky, V., A. Gazizov, and S. Grigorieva, 2006, Phys. Rev. D 74, 043005.
- Berezinsky, V. S., and S. I. Grigor’eva, 1988, Astron. Astrophys. 199, 1.
- Berezinsky, V. S., and G. T. Zatsepin, 1969, Phys. Lett. B 28, 423.
- Bergeson, H. et al., 1977, Phys. Rev. Lett. 39, 847.
- Bertou, X., P. Billoir, O. Deligny, C. Lachaud, and A. Letessier-Selvon, 2002, Astropart. Phys. 17, 183.
- Bhattacharjee, P., 1998, in Workshop on Observing Giant Cosmic Ray Air Showers From 10(20) eV Particles From Space, AIP Conf. Proc. No. 433 (AIP, New York), p. 168.
- Bhattacharjee, P., and G. Sigl, 2000, Phys. Rep. 327, 109.
- Bird, D. J. et al. (HiRes Collaboration), 1993, Phys. Rev. Lett. 71, 3401.
- Blandford, R., and D. Eichler, 1987, Phys. Rep. 154, 1.
- Blandford, R. D., and J. P. Ostriker, 1978, Astrophys. J. 221, L29.
- Bluemer, J., R. Engel, and J. R. Hoerandel, 2009, Prog. Part. Nucl. Phys. 63, 293.
- Bluemer, J. et al. (Pierre Auger Collaboration), 2010, New J. Phys. 12, 035001.
- Bonifazi, C., A. Letessier-Selvon, and E. M. Santos (Pierre Auger Collaboration), 2008, Astropart. Phys. 28, 523.
- Bonifazi, C. et al. (Pierre Auger Collaboration), 2009, Nucl. Phys. B, Proc. Suppl. 190, 20.
- Borione, A. et al., 1994, Nucl. Instrum. Methods Phys. Res., Sect. A 346, 329.
- Boyer, J. H. et al., 2002, Nucl. Instrum. Methods Phys. Res., Sect. A 482, 457.
- Brennan, M. H. et al., 1958, Nature (London) 182, 973.
- Bunner, A. N., 1967, Ph. D. Thesis (Cornell University).
- Bunner, A. N. et al., 1967, Sky and Telescope, 34, 204.
- Calvez, A., A. Kusenko, and S. Nagataki, 2010, Phys. Rev. Lett. 105, 091101.
- Capelle, K., J. Cronin, G. Parente, and E. Zas, 1998, Astropart. Phys. 8, 321.
- Cassidy, M. et al., 1997, in Proceedings of 25th ICRC (Durban, South Africa) (Potchestroomse Universiteit, Potacefstroom, South Africa), Vol. 5, p. 189.
- Catalano, O. et al., 2000, Nucl. Phys. B, Proc. Suppl. 80, C804.
- Chernov, D. et al., 2006, Int. J. Mod. Phys. A 20, 6977.
- Chiba, N. et al., 1992, Nucl. Instrum. Methods Phys. Res., Sect. A 311, 338.
- Chou, A. S., M. D. A. Pernas, and T. Yamamoto (Pierre Auger Collaboration), 2005, in Proceedings of the 29th ICRC, Pune, India (Tata Itstitute for Fundamental Research, Mumbai, India), Vol. 7, p. 323.
- Chudakov, A. E. et al., 1960, in Proceedings of the 6th ICRC Conference (Moscow, Russia), Vol. 2, 47.
- Cronin, J. W., 1999, Rev. Mod. Phys. 71, S165.
- Cusumano, G. et al., 2010, Astron. Astrophys. 510, A48+.
- de Vaucouleurs, G., 1956, Vistas Astron. 2, 1584.
- Dickinson, J. E. et al., 1999, in Proceedings of the 26th ICRC (Salt Lake City, USA) (University of Utah, Salt Lake City, Utah), Vol. 3, p. 136.
- Drury, L. O., 1983, Rep. Prog. Phys. 46, 973.
- Drury, L. O., F. A. Aharonian, and H. J. Volk, 1994, Astron. Astrophys. 287, 959.
- Ebisuzaki, T. (EUSO Collaboration), 2008, J. Phys. Soc. Jpn., Suppl. B 77, 88.
- Efimov, N. N. et al., 1991, in Proceedings of the International Symposium of Astrophysical Aspects of Most Energetic Cosmic Rays (World Scientific, Singapore), p. 20.
- Engel, R., D. Seckel, and T. Stanev, 2001, Phys. Rev. D 64, 093010.
- Fermi, E., 1949, Phys. Rev. 75, 1169.
- Fowler, J. W. et al., 2001, Astropart. Phys. 15, 49.
- Gaisser, T., and A. Hillas, 1977, in Proceedings of the 15th ICRC, Plovdiv, Bulgaria (Bulgarian Academy of Sciences, Sofia, Bulgaria), Vol. 8, p. 353.
- Gaisser, T. K. et al. (HiRes Collaboration), 1993, Phys. Rev. D 47, 1919.
- Gambetta, S. et al., 2010, in Proceedings of the 7th Air Fluorescence Workshop, Coimbra, Portugal (University of Coimbra, Coimbra, Portugal).
- Giller, M., G. Wieczorek, A. Kacperczyk, H. Stojek, and W. Tkaczyk, 2004, J. Phys. G 30, 97.
- Ginzburg, V. L., and S. I. Syrovatskii, 1964, The Origin of Cosmic Rays (MacMillan, London).
- Glushkov, A. et al. 2010, Phys. Rev. D 82, 041101.
- Gorham, P. et al., 2008, Phys. Rev. D 78, 032007.
- Gorham, P. W. et al., 2008, Phys. Rev. D 78, 032007.
- Green, D. A., 2009, Bulletin of the Astronomical Society of India 37, 45.
- Greisen, K., 1956, Progress in Cosmic Ray Physics, 3, 1.
- Greisen, K., 1960, Annu. Rev. Nucl. Sci. 10, 63.
- Greisen, K., 1966, Phys. Rev. Lett. 16, 748.
- Halzen, F., and E. Zas, 1997, Astrophys. J. 488, 669.
- Han, J. L., R. N. Manchester, A. G. Lyne, G. J. Qiao, and W. van Straten, 2006, Astrophys. J. 642, 868.
- T. Hara, et al., 1970, Acta Physica Academiae Scientiarum Hungaricae 29, 361.
- Haungs, A. et al. (LOPES Collaboration), 2009, Nucl. Phys. B, Proc. Suppl. 196, 297.
- Heitler, W., 1954, International Series of Monographs on Physics (Clarendon, Oxford), 3rd ed.).
- Hersil, J., I. Escobar, D. Scott, G. Clark, and S. Olbert, 1961, Phys. Rev. Lett. 6, 22.
- Hillas, A., 2005, J. Phys. G 31, R95.
- Hillas, A. M., 1970, Proceedings of the 11th ICRC, Budapest, Hungary, Vol. 3, p. 539.
- Hillas, A. M., 1984, Annu. Rev. Astron. Astrophys. 22, 425.
- Hooper, D., S. Sarkar, and A. M. Taylor, 2007, Astropart. Phys. 27, 199.
- Huchra, J., N. Martimbeau, T. Jarrett, R. Cutri, M. Skrutskie, S. Schneider, R. Steining, L. Macri, J. Mader, and T. George, 2005, in Maps of the Cosmos, edited by M. Colless, L. Staveley-Smith, and R. A. Stathakis (Astronomical Society of the Pacific, San Francisco, California), Vol. 216, p. 170.
- Jiang, Y.-Y., L. Hou, J. Han, X. Sun, and W. Wang, 2010, Astrophys. J. 719, 459.
- Jokipii, J. R., 1987, Astrophys. J. 313, 842.
- Jones, F. C., and D. C. Ellison, 1991, Space Sci. Rev. 58, 259.
- Kakimoto, F. et al., 1996, Nucl. Instrum. Methods Phys. Res., Sect. A 372, 527.
- Kalmykov, N. N., S. S. Ostapchenko, and A. I. Pavlov, 1997, Nucl. Phys. B, Proc. Suppl. 52, 17.
- Kamata, K., and J. Nishimura, 1958, Prog. Theor. Phys. Suppl. 6, 93.
- Kleifges, M. et al. (Pierre Auger Collaboration), 2009, in Proceedings of the 31st ICRC, Lodz, Poland (University of Lodz, Lodz, Poland).
- Kotera, K., and A. Olinto, 2011, Annu. Rev. Astron. Astrophys. 49, 119.
- Kronberg, P. P., 1994, Rep. Prog. Phys. 57, 325. Krymsky, G. F., 1977, Dokl. Akad. Nauk SSSR 243, 1306. [Sov. Phys. Dokl. 22, 327 (1977)]
- Kuempel, D., K. H. Kampert, and M. Risse, 2008, Astropart. Phys. 30, 167.
- Kulikov, G., and Khristiansen, 1958, Zh. Eksp. Teor. Fiz. 35, 441.
- Landau, L. D., and I. Pomeranchuk, 1953, Dokl. Akad. Nauk SSSR 92, 735.
- Lawrence, M. A., R. J. O. Reid, and A. A. Watson, 1991, J. Phys. G 17, 733.
- Learned, J. G., and S. Pakvasa, 1995, Astropart. Phys. 3, 267.
- Lidvansky, A. S., 2006, Radiat. Phys. Chem. 75, 891.
- Linsley, J., 1963, Phys. Rev. Lett. 10, 146.
- Linsley, J., 1977, in Proceedings of the 17th ICRC (Plovdiv, Bulgaria) (Bulgarian Academy of Sciences, Sofia, Bulgaria), Vol. 12, p. 89.
- Linsley, J., 1998, in Workshop on Observing Giant Cosmic Ray Air Showers From 10(20) eV Particles From Space, AIP Conf. Proc. No. 433 (AIP, New York), p. 1.
- Linsley, J., L. Scarsi, and B. Rossi, 1961, Phys. Rev. Lett. 6, 485.
- Linsley, J., and A. A. Watson, 1981, Phys. Rev. Lett. 46, 459.
- Lipari, P., 2009, Nucl. Phys. B, Proc. Suppl. 196, 309.
- Lyutikov, M., and R. Ouyed, 2007, in Proceedings of the 30th ICRC, Merida (Mexico) (Universidad Nacional Autonoma de Mexico, Mexico City, Mexico).
- Mannheim, K., R. J. Protheroe, and J. P. Rachen, 2000, Phys. Rev. D 63, 023003.
- Martens, K. et al. (HiRes Collaboration), 2007, in Proceedings of the 30th ICRC, Merida, Mexico (Universidad Nacional Autonoma de Mexico, Mexico City, Mexico), Vol. 5, p. 1465.
- Massaglia, S., 2008, in Proceedings of the CRIS 2008 Conference, Malfa (Italy) (INFN, Catania, Italy).
- Matthews, J., 2005, Astropart. Phys. 22, 387.
- Matthews, J. A. J. et al., 2010, J. Phys. G 37, 025202.
- Migdal, A. B., 1956, Phys. Rev. 103, 1811.
- Milgrom, M., and V. Usov, 1995, Astrophys. J. 449, L37.
- Mostafa, M. (Pierre Auger Collaboration), 2007, Nucl. Phys. B, Proc. Suppl. 165, 50.
- Nagano, M., K. Kobayakawa, N. Sakaki, and K. Ando, 2004, Astropart. Phys. 22, 235.
- Nagano, M., and A. A. Watson, 2000, Rev. Mod. Phys. 72, 689.
- Nagano, M. et al., 1984, J. Phys. G 10, 1295.
- Nagano, M. et al., 1992, J. Phys. G 18, 423.
- Nerling, F., J. Bluemer, R. Engel, and M. Risse, 2006, Astropart. Phys. 24, 421.
- Nonaka, T. et al., 2009, Nucl. Phys. B, Proc. Suppl. 190, 26.
- Ohoka, H., S. Yoshida, and M. Takeda (AGASA Collaboration), 1997, Nucl. Instrum. Methods Phys. Res., Sect. A 385, 268.
- Ostapchenko, S., 2007, AIP Conf. Proc. 928, 118.
- Panov, A. et al., 2011, arXiv:1101.3246.
- Patterson, J., and A. Hillas, 1983, J. Phys. G 9, 1433.
- Peters, B., 1959, Nuovo Cimento Suppl. 14, 436.
- Pierog, T., and K. Werner, 2007, in Proceedings of the 30th ICRC (Merida, Mexico) (Universidad Nacional Autonoma de Mexico, Mexico City, Mexico), Vol. 4, p. 629.
- Pierog, T., and K. Werner, 2009, Nucl. Phys. B, Proc. Suppl. 196, 102.
- Platino, M. et al. (Pierre Auger Collaboration), 2009, in Proceedings of the 31st ICRC, Lodz, Poland (University of Lodz, Lodz, Poland ).
- Privitera, P. et al., 2010, Nucl. Phys. B, Proc. Suppl. 329, 212.
- Ptuskin, V., V. Zirakashvili, and E. Seo, 2010, Astrophys. J. 718, 31.
- Rachen, J., and P. Biermann, 1993, Astron. Astrophys. 272, 161.
- Revenu, B. et al. (CODALEMA Collaboration), 2009, arXiv:0906.2832.
- Risse, M., and P. Homola, 2007, Mod. Phys. Lett. A 22, 749.
- Rossi, B., and K. Greisen, 1941, Rev. Mod. Phys. 13, 240.
- Ryu, D., S. Das, and H. Kang, 2010, Astrophys. J. 710, 1422.
- Schmidt, F. et al., 2007, in Proceedings of the 30th ICRC (Merida, Mexico) (Universidad Nacional Autonoma de Mexico, Mexico City, Mexico).
- Schmidt, F. et al., 2008, Astropart. Phys. 29, 355.
- Shinozaki, K. et al., 2002, Astrophys. J. 571, L117.
- Sommers, P., 1995, Astropart. Phys. 3, 349.
- Song, C. et al., 2000, Astropart. Phys. 14, 7.
- Stanev, T., 1997, Astrophys. J. 479, 290.
- Stanev, T., 2010, High Energy Cosmic Rays, Springer Praxis Books (Springer-Verlag, Berlin).
- Stanev, T., P. L. Biermann, J. Lloyd-Evans, J. P. Rachen, and A. A. Watson, 1995, Phys. Rev. Lett. 75, 3056.
- Stanev, T., R. Engel, A. Mucke, R. J. Protheroe, and J. P. Rachen, 2000, Phys. Rev. D 62, 093005.
- Stecker, F., 1968, Phys. Rev. Lett. 21, 1016.
- Stecker, F., 1969, Phys. Rev. 180, 1264.
- Supanitsky, A. D. et al. (Pierre Auger Collaboration), 2008, Astropart. Phys. 29, 461.
- Swordy, S. P. et al., 2000, Astropart. Phys. 13, 137.
- Takeda, M. et al., 1998, Phys. Rev. Lett. 81, 1163.
- Takeda, M. et al., 1999, Astrophys. J. 522, 225.
- Takeda, M. et al., 2003, Astropart. Phys. 19, 447.
- Tokuno, H. et al., 2009, Nucl. Instrum. Methods Phys. Res., Sect. A 601, 364.
- Uchihori, Y. et al., 2000, Astropart. Phys. 13, 151.
- Ulrich, R. et al., 2009, New J. Phys. 11, 065018.
- Unger, M. et al. (Pierre Auger Collaboration), 2008, Nucl. Instrum. Methods Phys. Res., Sect. A 588, 433.
- Vachaspati, T., 1997, arXiv:hep-ph/9710292.
- Vachaspati, T., 1998, arXiv:astro-ph/9903362.
- van den Berg, A. M. (Pierre Auger Collaboration), 2009a, in 31st ICRC, Lodz, Poland (University of Lodz, Lodz, Poland).
- van den Berg, A. M. et al. (Pierre Auger Collaboration), 2009b, Proceedings of the 31st ICRC, Lodz, Poland (University of Lodz, Lodz, Poland).
- Véron-Cetty, M. P., and P. Véron, 2006, Astron. Astrophys. 455, 773.
- Vietri, M., 1995, Astrophys. J. 453, 883.
- Vilenkin, A., and E. P. S. Shellard, 1995, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, United Kingdom).
- Watson, A. A. (Pierre Auger Collaboration), 2007, Invited talk at the 30th International Cosmic Ray Conference (ICRC 2007), Merida, Mexico July 2007 (Universidad Nacional Autonoma de Mexico, Mexico City, Mexico).
- Waxman, E., 1995, Phys. Rev. Lett. 75, 386.
- Waxman, E., 2006, Nucl. Phys. B, Proc. Suppl. 151, 46.
- Waxman, E., and J. N. Bahcall, 1998, Phys. Rev. D 59, 023002.
- Wick, S. D., C. D. Dermer, and A. Atoyan, 2004, Astropart. Phys. 21, 125.
- Yoshida, S. et al., 1995, Astropart. Phys. 3, 105.
- Zatsepin, G. T., and V. A. Kuzmin, 1966, JETP Lett. 4, 78.