Relativistic Quark Model Based Description of Low Energy NN Scattering

Abstract

A description of the NN scattering is constructed starting from the $π, η, η'$ pseudoscalar-, the $ρ, ϕ, ω$ vector-, and the $\varepsilon(600), a_0, f_0(1400)$ scalar - meson-nucleon coupling constants, which we obtain within a relativistic quark model. Working within the Blankenbecler-Sugar-Logunov-Tavkhelidze quasipotential dynamics we thus describe the NN phase shifts in a relativistically invariant way. In this procedure we use the phenomenological form factor cutoff masses and the effective $\varepsilon$ and $ω$ meson-nucleon coupling constants, only. The comparison of our NN phase shifts to the both empirical data and the Bonn OBEP fit shows good agreement -- the ratio of the $χ^2$ for the present results to the $χ^2$ for Bonn OBEP description is 1.2.