Effects of Finite Size of Constituent Quarks on Nucleon-Nucleon Interaction

TL;DR

This paper examines how the finite size of constituent quarks influences nucleon-nucleon interactions within an $SU(2)$ nonrelativistic quark model, considering various interaction potentials and their effects.

Contribution

It introduces a detailed analysis of finite quark size effects on nucleon-nucleon potentials using the resonating group method in the Born-Oppenheimer approximation.

Findings

Finite quark size affects nucleon-nucleon potentials.

Smearing contact interactions alters potential characteristics.

Variation in constituent quark mass impacts interaction strength.

Abstract

We have investigated the effect of the finite size of the constituent quarks on singlet and triplet nucleon-nucleon potentials, obtained in the framework of the $SU(2)$ nonrelativistic quark model using the resonating group method in the Born-Oppenheimer approximation. The full Hamiltonian used in the investigation includes the kinetic energy, two-body confinement potential, one gluon exchange potential (OGEP), and instanton induced interaction (III). The effects of the smearing of the contact interactions and the variation of the constituent mass of the quarks are discussed.