Spectroscopic properties of $\Delta$ Baryons

TL;DR

This paper investigates the spectroscopic properties of $$ baryons using a hypercentral constituent quark model with a linear potential, providing detailed state data, magnetic moments, decay widths, and Regge trajectory analysis.

Contribution

It introduces a comprehensive study of $$ baryon states with calculations of spectra, magnetic moments, decay widths, and verifies linearity via Regge trajectories.

Findings

Calculated spectra for multiple $$ baryon states from 1S to 5F.

Magnetic moments for all configurations were obtained.

Decay widths for selected states were estimated.

Abstract

The resonance state of $\Delta$ baryon existing in four isospin ($I=\frac{3}{2}$) states, has been studied using Hypercentral Constituent Quark Model (hCQM) with a simple linear potential with added first order correction. The calculated data range for 1S-5S, 1P-5P, 1D-4D and 1F-2F with possible spin-parity assignments of all the states. The magnetic moments have also been obtained for all four configuration. The $N\pi$ decay channel width has been calculated for few states. The linear nature of the data has been verified through Regge trajectories.