Spectroscopic Study of Strangeness=-3 $\Omega^{-}$ Baryon

TL;DR

This study explores the properties of the rare $ ext{Ω}^{-}$ baryon with strangeness -3 using a hypercentral Constituent Quark Model, calculating its mass spectra, Regge trajectories, and magnetic moments to enhance understanding of this scarcely observed particle.

Contribution

It applies the hypercentral Constituent Quark Model to predict the mass spectra and magnetic properties of the $ ext{Ω}^{-}$ baryon, providing new theoretical insights into its structure.

Findings

Resonance mass spectra for multiple states calculated.

Linear Regge trajectories confirmed based on data.

Magnetic moment of the $ ext{Ω}^{-}$ baryon estimated.

Abstract

$\Omega^{-}$ baryon with sss quarks has been scarcely observed in the experiments so far and has been exploited through many theoretical studies only. Here, an attempt has been made to explore properties of $\Omega$ with hypercentral Constituent Quark Model (hCQM) with a linear confining term. The resonance mass spectra has been obtained for 1S-4S, 1P-4P, 1D-3D and 1F-2F respectively. The Regge trajectory has been investigated for the linear nature based on calculated data alongwith the magnetic moment. The present work has been compared with various approaches and known experimental findings.