Overview
In this chapter we discuss the most frequently recorded common shower observables, such as shower size (electron or total charged particle size) and muon size spectra, shower density spectra, density spectra at fixed core distance and shower energy loss spectra. The various concepts are defined and the experimental methods of measurement are outlined. We present a wealth of data and spectra of these observables from a selection of experiments from all epochs and a series of compilations that permit to compare the results from the different experiments. The role of the data for the interpretation of air showers is briefly outlined, however, the comprehensive evaluation of the data and implications are treated in separate chapters as referred to in the text.
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Notes
- 1.
Note that at the new Pamir site (4,380 m a.s.l.) only emulsion chamber experiments are being carried out.
- 2.
The threshold energy of muons to reach MACRO was \(E_{\mu} \geq 1.3\;\textrm{TeV}\).
- 3.
At that time the existence of the knee in the spectrum, discovered by Kulikov and Khristiansen (1959), was widely unknown.
- 4.
At that time the knee in the primary spectrum was unknown.
- 5.
In a simple superposition model it is assumed that a nucleus-nucleus collision in air can be described by A proton-nitrogen or A proton-oxygen interactions, where A is the mass number of the incident projectile nucleus. However, for computing the location of the first interaction of each shower the interaction mean free path of a nucleus of mass A in air must be taken. This model implies total fragmentation of the primary , which is not realistic.
- 6.
A Haverah Park type deep water Cherenkov detector had been used at Akeno/AGASA for comparison with scintillation detectors.
- 7.
The Auger experiment employs 1,600 deep water Cherenkov detectors and is expected to publish similar shower data.
- 8.
r′0 is a Molière-like unit for Haverah Park deep water Cherenkov detectors.
References
Abu-Zayyad, T., et al.: PICRC, 5, p. 349 (1999).
Acharya, B.S., et al.: PICRC, 9, p. 162 (1981).
Aglietta, M., et al.: Nuovo Cim. C, 9, p. 262 (1986).
Aglietta, M., et al.: Astropart.Phys., 10, p. 1 (1999).
Aguirre, C., et al.: PICRC, 8, p. 213 (1977).
Aguirre, C., et al.: J. Phys. G, 5, p. 151 (1979).
Amenomori, M., et al.: Nucl. Instr. Meth. A, 288, p. 619 (1990).
Amenomori, M., et al.: PICRC, 5, p. 249 (1997).
Amenomori, M., et al., Tibet Collaboration: PICRC, 4, p. 211 (2005).
Andrews, D., et al.: Acta Phys. Acad. Sci. Hung., 29, S3, p. 337 (1970a).
Andrews, D., et al.: Acta Phys. Acad. Sci. Hung., 29, S3, p. 343 (1970b).
Andrews, D., et al.: PICRC, 3, p. 995 (1971).
Antoni, T., et al.: Astropart. Phys., 19, p. 703 (2003a).
Antoni, T., et al.: Nucl. Instr. Meth. A, 513, p. 490 (2003b).
Antonov, R.A., et al.: PICRC, 2, p. 96 (1960).
Antonov, R.A., et al.: Sov. Phys. JETP, 18, p. 1279 (1964a).
Antonov, R.A., et al.: Sov. Phys. JETP, 19, p. 20 (1964b).
Antonov, R.A., et al.: Trudi FIAN, 26, p. 142 (1964c) (in Russian).
Antonov, R.A., et al.: PICRC, 6, p. 2194 (1971).
Antonov, R.A., et al.: Yadernaya Fiz. 18, p. 554 (1973) (in Russian).
Antonov, R.A., et al.: Sov. J. Nucl. Phys., 18, p. 285 (1974).
Antonov, R.A., et al.: PICRC, 8, p. 137 (1977).
Arqueros, F., et al., HEGRA-Collaboration: Astron. Astrophys., 359, p. 682 (2000).
Asakimori, K., et al.: PICRC, 8, p. 247 (1979).
Asakimori, K., et al.: J. Phys. Soc. Jpn., 51, p. 2059 (1982).
Aseikin, V.S., et al.: PICRC, 6, p. 2152 (1971).
Ashton, F., et al.: PICRC, 4, p. 2489 (1973).
Ashton, F., and A. Parvaresh: PICRC, 8, p. 2719 (1975).
Ashton, F., et al.: PICRC, 8, p. 2831 (1975).
Auger, P.: Comptes Rendus Acad. Sci. Paris, 207, p. 907 (1938). (in French).
Auger, P., and J. Daudin: J. de Phys. et Radium, 6, p. 233 (1945). (in French).
Ave, M., et al.: Astropart. Phys., 19, p. 47 (2003).
Bacci, C., et al., ARGO-YBJ Collaboration: Nucl. Instr. Meth. A, 443, p. 342 (2000).
Bagge, E.R., et al.: PICRC, 12, p. 24 (1977).
Bell, C.J., et al.: PICRC, 3, p. 989 (1971).
Bell, C.J.: Ph. D. Thesis University of Sydney, Australia (1974).
Bell, C.J., et al.: J. Phys. A, 7, p. 990 (1974).
Bell, C.J.: J. Phys. G, 2, p. 867 (1976).
Bertaina, M., et al.: PICRC, 2, p. 792 (2001).
Bhat, C.L., et al.: PICRC, 8, p. 508 (1977).
Biehl, A. T., and H. V. Neher: Phys. Rev., 83, p. 1169 (1951).
Blake, P.R., et al.: J. Phys. G, 4, p. 617 (1978a).
Blake, P.R., et al.: J. Phys. G, 4, p. 597 (1978b).
Blake, P.R., and C.G. Saltmarsh: PICRC, 8, p. 76 (1979).
Blümer, J.: The Pierre Auger Collaboration. Frontiers of Cosmic Ray Science, Universal Academic Press, Inc., Tokyo (Japan), PICRC, 8, p.361 (2003).
Böhm, E.: PICRC, 8, p. 29 (1977).
Böhm, E. and E. Steinmann: PICRC, 8, p. 294 (1979).
Boothby, K., et al.: PICRC, 3, p. 444 (1995).
Boothby, K., et al.: Nucl. Phys. B (Proc. Suppl.), 52 B, p. 166 (1997).
Borione, A., et al.: N.I.M. A, 346, p. 329 (1994).
Bradt, H., et al.: PICRC, 2, p. 715 (1965).
Broadbent, D., et al.: Proc. Phys. Soc. A, 63, p. 864 (1950).
Brooke, G., et al.: PICRC, 8, p. 13 (1979).
Brown, W.W., and A.S. McKay: Phys. Rev., 76, p. 1034 (1949).
Brownlee, R.G., et al.: Can. J. Phys., 46, p. 259 (1968).
Brownlee, R.G., et al.: Acta Phys. Acad. Scie. Hung., 29, S3, p. 651 (1970).
Büscher, W.D.: Thesis, University of Kiel, Germany (1971).
Cao, Z., ARGO Collaboration: PICRC, 5, p. 299 (2005).
Cassidy, M., et al.: PICRC, 5, p. 189 (1997).
Catz, Ph., et al.: PICRC, 12, p. 4329 (1975).
Chiba, N., et al.: ICRR Report 249-91-18 (July 1991).
Chiba, N., et al.: Nucl. Instr. Meth. A, 311, p. 338 (1992).
Chilingarian, A., et al.: PICRC, 1, p. 240 (1999).
Chou, A.S., et al.: PICRC, 7, p. 319 (2005).
Clark, G., et al.: Nuovo Cim., Suppl. 8, p. 623 (1958).
Clark, G.W., et al.: Phys. Rev., 122, p. 637 (1961).
Clay, R.W., and P.R. Gerhardy: J. Phys. G, 6, p. 909 (1980).
Cocconi, G., et al.: Nuovo Cim. 1, p. 314 (1943).
Cocconi, G., et al.: Nuovo Cim. 2, p. 14 (1944).
Cocconi, G., et al.: Phys. Rev., 70, p. 841 (1946).
Cocconi, G., and V. Cocconi Tongiorgi: Phys. Rev., 75, p. 1058 (1949).
Cocconi, G.: Handbuch der Physik, S. Flügge, ed., Kosmische Strahlung, XLVI/I, Extensive Air Showers, p. 215, Springer Verlag, Berlin (1961).
Cronin, J.W.: Nucl. Phys. B (Proc. Suppl.), 97, p. 3 (2001a).
Cronin, J.W.: Highlight Lecture, 27th. International Cosmic Ray Conference, Hamburg, Germany, Rapporteur and Highlight Papers, p. 234 (2001b).
Cunningham, G., et al.: PICRC, 2, p. 303 (1977).
Danilova, T.V., et al.: PICRC, 8, p. 129 (1977).
Daudin, J.: Comptes Rendus Acad. Sci. Paris, 216, p. 483 (1943). (in French).
Daudin, J.: Comptes Rendus Acad. Sci. Paris, 218, p. 882 (1944). (in French).
Daudin, J.: J. de Phys. et Radium, 8, p. 301 (1947). (in French).
Daudin, A., and J. Daudin: J. Atmos. Terr. Phys., 3, p. 245 (1953a). (in French).
Daudin, A., and J. Daudin: Bagneres-de-Bigorre Conf. J. Phys. Radium 14 ,p. 169 (1953b). (in French).
Dawson, B.R., Telescope Array Collaboration: PICRC, pre-conference edition, paper 0976, Merida, Mexico (2007).
D’Ettorre-Piazzoli, B., ARGO Collaboration: PICRC, 2, p. 373 (1999).
Diminstein, O.S., et al.: PICRC, 12, p. 4325 (1975).
Diminstein, O.S., et al.: PICRC, 8, p. 154 (1977).
Diminstein, O.S., et al.: PICRC, 8, p. 122 (1979).
Dixon, H.E., and K.E. Turver: Proc. R. Soc. A, 339, p. 171 (1974).
Dixon, H.E., et al.: Proc, R. Soc. A, 339, p. 133 (1974a).
Dixon, H.E., et al.: Proc. R. Soc. A, 339, p. 157 (1974b).
Dixon, H.E., et al.: J. Phys. A, 7, p. 1010 (1974c).
Dyakonov, M.N., et al.: PICRC, 4, p. 2384 (1973).
Dyakonov, M.N., et al.: Izv. AN SSSR, ser. fiz., 38, p 999 (1974).
Dyakonov, M.N., et al.: V sbornike “Kharakteristiki ShAL kosmicheskikh luchei sverhvysokikih energii”, Yakutsk, 87 (1976).
Dyakonov, M.N., et al.: PICRC, 8, p. 168 (1979).
Edge, D.M., et al.: J. Phys. A, 6, p. 1612 (1973a).
Edge, D.M., et al.: PICRC, 4, p. 2513 (1973b).
Efimov, N.N., and V.F. Sokurov: PICRC, 8. p. 152 (1979).
Efimov, N.N., and V.F. Sokurov: PICRC, 2. p. 123 (1983).
Egorov, T.A., et al.: PICRC, 6, p. 2059 (1971a).
Egorov, T.A., et al.: PICRC, 6, p. 2164 (1971b).
England, C.D., et al.: PICRC, 8, p. 88 (1979).
Escobar, I., et al.: PICRC, 4, p. 168 (1963).
Firkowski, R., et al.: PICRC, 2, p. 694 (1965).
Firkowski, R., et al.: PICRC, 4, p. 2605 (1973).
Fomin, Y.A., et al.: PICRC, 2, p. 85 (1991).
Fowler, J.W., et al.: Astropart. Phys., 15, p. 49 (2001).
Fukui, S., et al.: Progr. Theor. Phys. Jpn., 16, p. 1 (1960).
Fukushima, M., et al.: PICRC, pre-conference edition, paper 0955, Merida, Mexico (2007).
Gerdes, C., et al.: PICRC, 1, p. 219 (1973).
Gerdes, C., et al.: PICRC, 8, p. 3040 (1975).
Gerhardy, P.R., et al.: PICRC, 11, p. 305 (1981).
Glasstetter, R., KASCADE Collaboration: PICRC, 6, p. 157 (1997).
Glasstetter, R., et al.: PICRC, 1, p. 222 (1999).
Glushkov, A.V., et al.: Preprint YaFAN, Yakutsk (1978).
Glushkov, A.V., et al.: PICRC, 8, p. 158 (1979).
Greisen, K.: Progress in Cosmic Ray Physics, North-Holland Publishing Co, Amsterdam, Vol. 3, p. 1 (1956).
Greisen, K.: Annual Review of Nuclear Science, Annual Reviews, Inc., Palo Alto, CA, USA, Vol 10, p. 63 (1960).
Greisen, K.: Ann. Rev. Nucl. Sci., 10, p. 63 (1968).
Grieder, P.K.F.: Rivista del Nuovo Cim., 7, p. 1 (1977).
Gross, B: Zeitschr. f. Physik, 83, p. 214 (1933).
Gupta, S., et al.: Nucl. Instr. Meth., A 540, p. 311 (2005).
Hara, T., et al.: PICRC, 8, p. 135 (1979a).
Hara, T., et al.: PICRC, 13, p. 148 (1979b).
Hara, T., et al.: PICRC, 13, p. 154 (1979c).
Hara, T., et al.: PICRC, 11, p. 250 (1981).
Hartman, D.H., et al.: PICRC, 8, p. 233 (1977).
Hartman, D.H., et al.: Nuovo Cim., 51 A, p. 131 (1979).
Hatano, Y., et al.: PICRC, 11, p. 161 (1979).
Haungs, A., et al.: Rep. Prog. Phys., 66, p. 1145 (2003).
Hayashi, Y., et al.: PICRC, 1, p. 236 (1999).
Hayashi, Y., et al.: Nucl. Instr. Meth., A 545, p. 643 (2005).
Hillas, A.M., et al.: Acta Phys. Acad. Scie. Hung., 29, S3, p. 533 (1970).
Hillas, A.M., et al.: PICRC, 3, p. 1001 (1971a).
Hillas, A.M., et al.: PICRC, 3, p. 1007 (1971b).
Hillberry, N.: Phys. Rev., 60, p. 1 (1941).
Hlavac, T., et al.: Acta Phys. Acad. Scie. Hung., 29, S1, p. 521 (1970).
Hodson, A. L.: Proc. Phys. Soc. A, 66, p. 49 (1953).
Hollows, J.D.: Ph.D. Thesis, University of Leeds, England, UK (1968).
Hollows, J.D., et al.: J. Phys. A, 2, p. 591 (1969).
Honda, K., et al.: PICRC, 1, p. 141 (2001).
Horton, L., et al.: PICRC, 6, p. 124 (1983).
Hudson, D.E.: Thesis, Cornell University, Ithaca, NY, USA (1950).
Ise, J., Jr., and W.B. Fretter: Phys. Rev., 76, p. 933 (1949).
Ivanov, A.A., et al.: Paper presented at the IV. European Symposium on Cosmic Rays, Lodz, Poland (1974).
Ivanov, A.A., et al.: PICRC, 9, p. 132 (1979).
Keck, J.C. and K. Greisen: Proc. Echo Lake Cosmic Ray Conf. (1949).
Kerschenholz, I.M., et al.: PICRC, 4, p. 2507 (1973).
Khristiansen, G.B., et al.: PICRC, 2, p. 799 (1965).
Khristiansen, G.B.: i dr. Kosmicheskoe izluchenie sverhvysokoi energii. M., Atomizdat, p. 256 (1975).
Khristiansen, G.B., et al.: PICRC, 9, p. 67 (1979a).
Khristiansen, G.B., et al.: PICRC, 8, p. 365 (1979b).
Kirov, I.N., et al.: PICRC, 2, p. 109 (1981).
Krasilnikov, D.D., et al.: PICRC, 12, p. 4347 (1975).
Krasilnikov, D.D., et al.: PICRC, 8, p. 159 (1977).
Kraybill, H.L.: Phys. Rev., 76, p. 1092 (1949).
Kraybill, H.L.: Phys. Rev., 86, p. 590 (1952).
Kraybill, H.L.: Phys. Rev., 93, p. 1360 (1954a).
Kraybill, H.L.: Phys. Rev., 93, p. 1362 (1954b).
Kulikov, G.V., and G.B. Khristiansen: Zh. Eksper. Teor. Fiz., 35, p. 635 (1958) (in Russian).
Kulikov, G.V., and G.B. Khristiansen: Sov. Phys. JETP, 35(8), p. 441 (1959).
Kulikov, G.V., et al.: PICRC (Moscow 1959), 2, p. 85 (1960).
La Pointe, M., et al.: Can. J. Phys., 46, p. 68 (1968).
Landau, L.D., and I.Ya. Pomeranchuck: Doklady Akad. Nauk., SSSR, 92, p. 535 (1953a).
Landau, L.D., and I.Ya. Pomeranchuck: Doklady Akad. Nauk., SSSR, 92, p. 735 (1953b).
Lapp, R. E.: Phys. Rev., 64, p. 129 (1943).
Lapp, R. E.: Phys. Rev., 69, p. 321 (1946).
Lillicrap, S.C., et al.: Proc. Phys. Soc., 82, p. 95 (1963).
Linsley, J.: PICRC, 4, p. 295 (1963a).
Linsley, J.: PICRC, 4, p. 77 (1963b).
Linsley, J.: PICRC, 5, p. 3207 (1973).
Loverdo, A., and J. Daudin: J. de Phys. et Radium, 9, p. 134 (1948).
Machavariani, S.K., et al.: PICRC, 8, p. 240 (1979).
Makhmudov, B.M., et al.: Izv. Akad. Nauk SSSR, Ser. Fiz., 40, p. 1001 (1975).
Makhmudov, B.M., and R.I. Sharibdzhanov: PICRC, 8, p. 496 (1977).
Matthews, J.: Rapporteur Paper, PICRC, 10, p. 281 (2005).
Maze, R., et al.: Phys. Rev., 73, p. 418 (1948).
McCaughan, J.B.T., et al.: PICRC, 2, p. 720 (1965a).
McCaughan, J.B.T., et al.: Nuovo Cim., 38, p. 697 (1965b).
McCusker, C.B.A., and M.M. Winn: J. Phys. G, 5, p. 159 (1979).
Migdal, A.B.: Phys. Rev., 103, p. 1811 (1956).
Milone, C.: Nuovo Cim., 9, p. 549 (1952).
Mirzoyan, R., MAGIC Collaboration: PICRC, 4, p. 23 (2005).
Miura, I., and H. Hasegawa: J. Phys. Soc. Jpn., 17, Suppl. A-III, p. 84 (1962).
Misaki, A.: Nucl. Phys. B (Proc. Suppl), 33AB, p. 192 (1993).
Miyake, S., et al.: PICRC, 13, p. 171 (1979).
Molière, G.: Vorträge über Kosmische Strahlung, 2. Auflage (in German), W. Heisenberg, ed., Springer, Berlin, p. 446 (1953a).
Molière, G.: Cosmic Radiation, by W. Heisenberg, ed., 2nd ed., Springer, Berlin (1953b).
Nagano, M.: CRL-Hokoku 20-76-4, p. 57 (1976) (in Japanese).
Nagano, M., et al.: J. Phys. G, 10, p. 1295 (1984).
Nagano, M., et al.: J. Phys. G, 18, p. 423 (1992).
Navarra, G., EAS-TOP Collaboration: Nucl. Phys. B (Proc. Suppl.), 60B, p. 105 (1998).
Navarra, G., et al.: Nucl. Instr. Meth. A, 518, p. 207 (2004).
Navarra, G.: Nucl. Phys., B (Proc. Suppl.), 151, p. 79 (2006).
Nesterova, N.M., et al.: PICRC, 2, p. 748 (1995).
Ogio, S., et al.: Astrophys. J., 612, p. 268 (2004).
Ohta, K., et al.: PICRC, 13, p. 177 (1979).
Prescott, J.R.: Proc. Phys. Soc. London, A, 69, p. 870 (1956).
Protheroe, R.J., and J.R. Patterson: J. Phys. G, 10, p. 841 (1984).
Rada, W.S., et al.: PICRC, 8, p. 13 (1977).
Risse, M., and D. Heck: Astropart. Phys., 20, p. 661 (2004).
Samorski, M., and W. Stamm: Astrophys. J., 268, p. L17 (1983a).
Samorski, M., and W. Stamm: PICRC, 1, p. 135 (1983b).
Schmidt, F., et al.: PICRC, pre-conference edition, paper 752, Merida, Mexico (2007).
Singer, S.F.: Phys. Rev., 81, p. 579 (1951).
Stamenov, J.N., et al.: Trudy Fian, SSSR, 109, p. 132 (1979).
Suomijärvi, T., et al., Auger Collaboration: PICRC, pre-conference edition, paper 0299, Merida, Mexico (2007).
Suri, A.N.: PICRC, 2, p. 751 (1965).
Suri, A.: Can. J. Phys., 46, p. 13 (1968).
Swinson, D.B., and J.R. Prescott: PICRC, 2, p. 721 (1965).
Swinson, D.B., and J.R. Prescott: Can. J. Phys., 46, p. 292 (1968).
Swordy, S.P., and D.B. Kieda: Astropart. Phys., 13, p. 137 (2000).
Tennent, R.M.: Proc. Phys. Soc., 92, p. 622 (1967).
Tennent, R.M.: Can. J. Phys., 46, p. 1 (1968).
Treat, J.E., and K.I. Greisen: Phys. Rev., 74, p. 414 (1948).
Tsunesada, Y., et al.: PICRC, pre-conference edition, paper 0820, Merida, Mexico (2007).
van Buren, J., et al.: PICRC, 6, p. 301 (2005).
van Staa, R., et al.: J. Phys. A, 7, p. 135 (1974).
Vernov, S.N., et al.: Sov. Phys., JETP, 15, p. 528 (1962a).
Vernov, S.N., et al.: J. Phys. Soc. Jpn., 17, Suppl. A III, p. 118 (1962b).
Vernov, S.N., et al.: Can. J. Phys., 46, p. 197 (1968).
Williams, R.W.: Phys. Rev., 74, p. 1689 (1948).
Yoshida, S., and H. Dai: J. Phys. G, 24, p. 905 (1998).
Yoshida, S.: Rapporteur Papaer, PICRC, 10, p. 297 (2005).
Zatsepin, G. T., et al.: J. Exp. Theor. Phys., 17, p. 1125 (1947).
Zatsepin, G. T., et al.: Izv. Akad. Nauk. SSSR, Ser. Fiz., 17, p. 39 (1953).
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Grieder, P.K. (2010). Common Shower Properties, Observables and Data. In: Extensive Air Showers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76941-5_12
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