Spectroscopy of Light Baryons: $\Delta$ Resonances

TL;DR

This paper investigates the mass spectra, magnetic moments, and decay properties of $$Delta baryons using the hypercentral Constituent Quark Model, providing detailed theoretical predictions and comparisons with experimental data.

Contribution

It uniquely treats all four isospin states of $$Delta baryons with separate u and d quark masses within the hCQM framework, including decay widths and Regge trajectories.

Findings

Mass spectra consistent with experimental data

Calculated magnetic moments and transition moments

Predicted radiative decay widths for $$Delta channels

Abstract

The spectroscopy of light, strange baryons have been an important aspect with still unknown resonances and intrinsic baryonic properties. The present document is focused on the $\Delta$ baryons unlike earlier work, here all the four isospin states have been separately obtained treating u and d quarks with different constituent masses. The theoretical framework for calculating the resonance masses is hypercentral Constituent Quark Model (hCQM). The confining potential is taken as of linear form alongwith the addition of spin-dependent as well as first order correction term. The results obtained have been compared with many varied approaches as well as experimental available states. In addition to mass spectra, Regge trajectories for (n,$M^{2}$) and (J,$M^{2}$) have been plotted. The magnetic moment as well as transition magnetic moment have been calculated using effective quark mass. The radiative decay width has been studied for $\Delta^{+}$ and $\Delta^{0}$ channels.