On the Production of II-Mesons by Nucleon-Nucleon Collisions

Abstract

Besides the doubts concerning the actual meson theories, and the use of a perturbation method for the study of strongly coupled fields, doubts have been raised as to the validity of some approximations usually made in the computation of the cross section for meson production by nucleon-nucleon collision. This cross section is computed here in a relativistically invariant manner for the pseudoscalar meson (pseudoscalar coupling) with the charged and the charge symmetrical theory. The results are valid for all energies of the incoming particle. The energy distribution and the total cross section derived from the invariant statistical factors are given as a point of comparison. Some computational tools are presented: a projection and a permutation operator and a method for the calculation of the density of states. In the Appendix two different ways of considering the meson production (mesonic analog to the bremsstrahlung or third-order process) are discussed.