On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. I --- Color-Symmetric Form ---

TL;DR

This paper investigates color-singlet states in a modified quark model incorporating pairing and particle-hole interactions, using boson realization to analyze various quark configurations including single quarks, pairs, and triplets.

Contribution

It introduces a boson realization method to examine color-singlet states in a modified Bonn quark model with su(4) algebraic structure, focusing on color-symmetric forms.

Findings

Identification of conditions for color-singlet states

Analysis of quark configurations including pairs and triplets

Extension of the model to include pairing and particle-hole interactions

Abstract

In the modified Bonn quark model in which quark-pairing and particle-hole interactions are included, color-singlet states are examined in addition to the color-neutral quark-triplet state by a method of boson realization. The region which consists of single-quarks, quark pairs and quark triplets is analyzed.