Low-lying hypernuclei in the relativistic quark-gluon model

TL;DR

This paper models low-lying hypernuclei using relativistic nine-quark equations, calculating their masses and properties through a dispersion relation approach that accounts for three quark flavors.

Contribution

It introduces a relativistic nine-quark framework with dispersion relations to describe hypernuclei, providing mass calculations for specific hypernuclear states.

Findings

Calculated the mass of $^3_\Lambda H$ as 2991 MeV.

Developed approximate solutions using leading singularity extraction.

Included three quark flavors in the relativistic nine-quark model.

Abstract

Low-lying hypernuclei $ ^3_{\Lambda}H$, $ ^3_{\Sigma}H$, $ ^3_{\Lambda}He$, $ ^3_{\Sigma}He$ are described by the relativistic nine-quark equations in the framework of the dispersion relation technique. 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 hypernuclei, including the quarks of three flavors ($u$, $d$, $s$) are calculated. The poles of these amplitudes determine the masses of hypernuclei. The mass of state $ ^3_{\Lambda}H$ with the isospin I=0 and the spin-parity $J^P=\frac{1}{2}^+$ is equal to $M=2991\, MeV$.