Double Meson Production in the Intermediate-Coupling Theory, I

Abstract

The intermediate-coupling theory is applied to the problem of the meson production in meson­ nucleon collisions. For simplicity, the model used is a charged scalar meson field interacting with a fixed nucleon. The amplitudes of the ordinary scattering and the meson production are obtained in the The intermediate-coupling theory has been formulated to exhibit its validity in a region of moderate coupling strength. The essential point of this theory consists in the distinc­ tion of meson configurations between bound and unbound ones. Mesons in bound configura· tion are bound to the nucleon and make the so-called meson cloud around the nucleon. The various states of the meson cloud correspond to the various isobar levels of the nucleon. Mesons in unbound configurations, which are called s·mesons , move in the outer space. When a meson collides with the nucleon, there arise the resonance-like interactions between the incident s-meson and the meson cloud. Actually in this case the one-level is allowed; that is, only one nucleon level is excited in the course of the collision process. In the scattering problems hitherto treated the presence of more than one s-meson can be neglected. It seems that the one level approximation is closely connected with the neglect of two or more s·meson configurations and therefore the process of the double meson production cannot be treated in this approximation. 1l