Re-formation of Many-Quark Model with the su(4)-Algebraic Structure in the Schwinger Boson Realization

TL;DR

This paper revisits the su(4)-algebraic model for many-quark systems, clarifying the structures of single-quark and quark-triplet states by translating results from Schwinger boson space to fermion space.

Contribution

It introduces a re-formation of the many-quark model using the su(4) algebraic structure in the fermion space, enhancing understanding of quark configurations.

Findings

Clarified the structure of single-quark states.

Elucidated the quark-triplet structure.

Discussed variations of su(4)-generators.

Abstract

The energy eigenstates for the su(4)-algebraic model for many-quark system obtained by the present authors in the Schwinger boson space are reconsidered in the original fermion space. Through this task, the structures of the single-quark and the quark-triplet are clarified. Variations of the su(4)-generators which have been adopted by the present authors are discussed.