Nucleon-Nucleon Interactions from the Quark Model

TL;DR

This paper explores a quark model-based approach to nucleon-nucleon interactions, introducing novel methods for deriving form factors and modeling the repulsive core, with results aligning with experimental scattering data.

Contribution

It presents a new nucleon-nucleon potential model using the $^3$P$_0$ decay model and quark wave functions, offering an alternative to phenomenological approaches.

Findings

Model reproduces experimental NN phase shifts

Accurately predicts S-wave scattering lengths and effective ranges

Deuteron properties are consistent with experimental data

Abstract

We report on investigations of the applicability of non-relativistic constituent quark models to the low-energy nucleon-nucleon (NN) interaction. The major innovations of a resulting NN potential are the use of the $^3$P$_0$ decay model and quark model wave functions to derive nucleon-nucleon-meson form-factors, and the use of a colored spin-spin contact hyperfine interaction to model the repulsive core rather than the phenomenological treatment common in other NN potentials. We present the results of the model for experimental free NN scattering phase shifts, S-wave scattering lengths and effective ranges and deuteron properties. Plans for future study are discussed.