The production and annihilation of a meson in two nucleon system are discussed phenomenologically, leaving at first the matrix elements for production and annihilation undetermined. It is shown that when one adjusts the matrix element properly, the main features of the observed meson spectrum can be accounted for the distortion of the nucleon wave functions by the nuclear and Coulomb forces. For the wave functions of two nucleons, we use the method of distorted wave with shape independent approximation. Our calculation can be applied only to low energy phenomena, such as meson production near threshold. Some experiments on artificial mesons fulfil this condition, and can be compared with our results. There may be a possibility that the mosonic interaction is “non-local”, or the wave function of a meson is largely distorted. However, we do not consider such cases in this paper.
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Fujimoto et al. (1951) studied this question.