Relativistic quark-gluon description of $^3 He$

TL;DR

This paper develops a relativistic nine-quark model to describe the $^3$He nucleus, calculating its mass and gluon interactions by solving approximate dispersion relation equations for quarks and gluons.

Contribution

It introduces a novel relativistic nine-quark equation framework for $^3$He, including approximate solutions and calculation of its mass and gluon coupling constant.

Findings

$^3$He mass calculated as 2809 MeV

Gluon coupling constant in light nuclei region is 0.1536

Gluon interaction in $^3$He is 2-3 times smaller than in baryons

Abstract

The relativistic nine-quark equations are found in the framework of the dispersion relation technique. $ ^3 He$ nucleus is described by these equations. We consider the $ ^3 He$ as the system of interacting quarks and gluons. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The relativistic nine-quark amplitudes of $ ^3 He$, including the $u$, $d$ quarks are calculated. The poles of these amplitudes determine the mass of nine-quark system. The $ ^3 He$ mass $M=2809\, MeV$ is calculated. The gluon coupling constant in the light nuclei region is equal to $g=0.1536$. The gluon interaction of $ ^3 He$ is obtained in 2 -- 3 time smaller as compared with baryon interaction.