Tribaryons in a constituent quark model

TL;DR

This paper investigates the properties of tribaryons within a constituent quark model by calculating color-spin interactions and analyzing their internal diquark structures, considering flavor symmetry breaking.

Contribution

It provides a detailed construction of flavor, color, and spin wave functions for tribaryons, including flavor SU(3) breaking effects, and analyzes their diquark configurations.

Findings

Matrix elements of color-spin interactions for tribaryons calculated.

Flavor, color, and spin wave functions constructed with antisymmetry.

Diquark structures analyzed using symmetric and antisymmetric basis sets.

Abstract

We calculate the matrix elements of the color-spin interaction for all possible multi-quark states of tribaryons in flavor SU(3) broken case. For that purpose, we construct the flavor$\otimes$color$\otimes$spin wave functions of the tribaryons, which are taken to be antisymmetric to satisfy the Pauli exclusion principle. Furthermore, we analyze the diquark structure of the tribaryon configurations using the symmetric and antisymmetric basis set of flavor, color and spin states.