The Production of Cosmic Gamma Rays in Insterstellar and Intergalactic Cosmic-Ray Collisions. I the Kinematics of p-p Interactions and Secondary Meson and Hyperon Decay and the Cosmic Gamma-Ray Spectral Source Function

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From the results of experimental particle physics and the relativistic kinematics of particle decay, expressions are derived for calculating the source functions for the production of gamma rays from the secondary mesons and hyperons produced in high energy p-p interactions. Gamma rays are considered to be produced from the decays of secondary neutral pions, neutral and charged kaons, lambda particles, and neutral and charged sigma particles. The resultant source-function expressions are given in terms of production functions in the form of Green's functions for the secondary particles listed above. These production functions can then be obtained from proton accelerator data and cosmic-ray air-shower data and, in conjunction with the expressions derived, can be used to compute the gamma-ray source functions and resultant cosmic gamma-ray spectrum generated by high-energy p-p interactions.

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