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Analytic Treatment of Proton Induced Electromagnetic Cascades
Author(s) -
Barmo S.
Publication year - 1976
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19764880506
Subject(s) - cascade , physics , proton , photon , electron , scaling , nucleon , simple (philosophy) , nuclear physics , quantum electrodynamics , quantum mechanics , chemistry , mathematics , philosophy , geometry , epistemology , chromatography
The electromagnetic cascade induced by the π 0 's produced by the interaction of a proton and its secondaries (mainly π±'s) is described. Simple considerations indicate that a large part of the energy of the proton is used to produce π 0 's (see Appendix B). Using the scaling hypothesis of F EYNMAN we derive analytical solutions for the cascade equations. The solution indicate that at the beginning of the cascade the π 0 's produced by the nucleon are more important for the development of the cascade than those produced by π±'s. The situation changes with increasing atmospheric depth. The average energy of the electrons and photons is nearly the same as indicated by the above mentioned simple considerations. A comparison with a photon induced cascade shows that the proton induced electromagnetic cascade is developing slowly and living longer.