Quark-Quark and Quark-nucleon Potential model Extended-soft-core meson-exchange Interactions

TL;DR

This paper develops a meson-exchange interaction model at the quark level based on the Extended-soft-core framework, aiming to connect baryon-baryon interactions with underlying quark interactions relevant for dense matter like neutron stars.

Contribution

It introduces a method to derive meson-quark vertices consistent with baryon-baryon data within the ESC model, linking quark-level interactions to baryon interactions.

Findings

Reproduces baryon-baryon scattering amplitudes using quark-level meson interactions.

Provides a framework for applying quark interactions to dense matter scenarios.

Establishes a connection between baryon data and quark-level meson exchanges.

Abstract

The Quark-quark (QQ) and Quark-nucleon (QN) interactions in this paper are derived from the Extended-soft-core (ESC) interactions. The meson-quark-quark (MQQ) vertices are determined in the framework of the constituent quark model (CQM). These vertices are such that upon folding with the ground-state baryon quark wave functions the one-boson-exchange (OBE) amplitudes for baryon-baryon (BB), and in particularly for nucleon-nucleon (NN), are reproduced. This opens the attractive possibility to define meson-quark interactions at the quark level which are directly related related to the interactions at the baryon level. the latter have been determined by the baryon-baryon data. Application of these "realistic" quark-quark interactions in the quark-matter phase is presumably of relevance for the description of highly condensed matter, as e.g. neutron-star matter.