Universal Theory of Primary Interactions and Nucleon-Nucleon Scattering

Abstract

A dynamical theory of nucleon-nucleon scattering is proposed, employing Sudarshan's universal coupling scheme for all primary interactions. The basic nature of all interactions is assumed to be vector and axial-vector. The contribution to the nuclear force, therefore, comes from vector, axial-vector, and pseudoscalar (longitudinal components of axial-vector fields) meson exchanges. The resulting potential has all the requisite features of a two-nucleon force, notable among them being the natural occurrence of a repulsive core at short distances. The various phase shifts and mixing parameters are then compared with experimental results. This being a parameterless theory, complete agreement is, of course, not expected; however, the over-all agreement of our results with experiments is very good. Another important feature of the present work is the occurrence of a $\mathrm{CP}$-violating nuclear force, responsible for induced $\mathrm{CP}$-violating effects in weak interactions. The consequences of this force with respect to the polarization and asymmetry measurements in nucleon-nucleon scattering are found to be consistent with the available experimental results, which have large uncertainties.