Relativistic Quark Model Based Description of Low Energy NN Scattering

Abstract

A model describing the NN scattering phase shifts is developed. Two nucleon interactions induced by meson exchange forces are constructed starting from π, η, η′ pseudoscalar-, the ρ, ϕ, ω vector-, and the ε(600), a0, f0(1400) scalar — meson–nucleon coupling constants, which we obtained within a relativistic quantum field theory based quark model. Working within the Blankenbecler–Sugar–Logunov–Tavkhelidze quasipotential dynamics, we describe the NN phase shifts in a relativistically invariant way. In this procedure we use phenomenological form factor cutoff masses and effective ε and ω meson–nucleon coupling constants, only. Resulting NN phase shifts are in a good agreement with both, the empirical data, and the entirely phenomenological Bonn OBEP model fit. While the quality of our description, evaluated as a ratio of our results to the Bonn OBEP model χ2 ones is about 1.2, other existing (semi)microscopic results gave qualitative results only.