Meson TheoreticN−NInteractions for Nuclear Physics

Abstract

One-boson-exchange interactions are derived for pseudoscalar ($P$), vector ($V$), scalar ($S$), axial vector ($A$), and antisymmetric tensor ($T$) mesons. The Schrödinger-Pauli-Breit limit is obtained for a combination of such Diracian OBE interactions. We calculate the phase shifts for purely relativistic $\pi -5\mathrm{}\omega$ model and find it possible to fit the $S$-wave phase shifts by adjusting one coupling constant and one regularization parameter. Then by breaking this model slightly we develop several accurate representations of the $N-N$ interaction for all waves with a moderate number of adjustable parameters, several of which are fixed by external considerations. We present a physical interpretation of the results particularly the velocity-dependent interactions. Finally we discuss the results in relationship to other $\mathrm{PVS}$ models.