Many-Quark Model with su(4) Algebraic Structure

TL;DR

This paper explores a many-quark model using su(4) algebraic structure and Schwinger boson representation, analyzing triplet formation and pairing correlations with exact analytical results.

Contribution

It introduces an extended Bonn model with controllable energy states using su(4) algebra and provides exact analytical expressions for many-quark states.

Findings

Analytical expressions for many-quark states in boson space.

Demonstration of triplet formation and pairing correlations.

Extension of the Bonn model with energy control features.

Abstract

With the use of a certain type of the Schwinger boson representation of the su(4) algebra, the Bonn model for many-quark systems and an extension of the model, in which the energies of the various exact states are controled, namely, the energies are enhanced or de-enhanced, are investigated. Especially, the triplet formation and the pairing correlation in many-quark states are discussed. In the boson space, all the results are analytically expressed in the exact forms.