Note on Many-Quark Model with su(4) Algebraic Structure

TL;DR

This paper refines a many-quark model with su(4) algebraic structure, providing clearer energy eigenstates that unify pairing correlations and quark triplet formations, applicable to strong color interactions.

Contribution

It introduces re-formed energy eigenstates that clarify the physical interpretation and unify different quark configurations within the model.

Findings

Exact energy eigenstates are reformulated with clearer expressions.

Unified treatment of pairing correlation and quark triplet formation.

Applicable to both strong color correlations and quark triplet formations.

Abstract

In a many-quark model developed in our previous paper where two-body color pairing and particle-hole type interactions are active, the exact energy eigenstates are re-formed with physically clearer expressions than those derived in our previous paper. By using the re-formed energy eigenstates, two types of the eigenstates in which the pairing correlation and the quark triplet formation separately appear definitely, are unified and this model can be treated for both the strong color correlations and the quark triplet formations.