Singly heavy Omega Baryon ($\Omega_c^0$ \& $\Omega_b^-$) Spectroscopy in the Relativistic Framework of Independent Quark Model

TL;DR

This paper uses a relativistic independent quark model with a Martin-like potential to predict the spectra, quantum numbers, magnetic moments, decay widths, and branching ratios of singly heavy Omega baryons, aligning with recent experimental findings.

Contribution

It introduces a comprehensive relativistic framework for heavy baryon spectroscopy, providing detailed predictions for masses, quantum states, and decay properties of \\Omega_c^0 and \\Omega_b^- baryons, including recently observed states.

Findings

Mass spectra for \\Omega_c^0 and \\Omega_b^- include radial and orbital excitations.

Spin-parity assignments for new states are proposed based on model calculations.

Decay widths and branching ratios match well with experimental data, validating the model.

Abstract

The Independent Quark Model, formulated for a three-body system within a relativistic framework, is applied to singly heavy baryons \( \Omega_c^0 \) and \( \Omega_b^- \) to investigate their spectroscopic properties. A Martin-like potential with an equal mixture of scalar and vector components is employed, with potential parameters fitted using ground-state experimental data. The resulting mass spectra include both radial and orbital excitations. The spin-parity for the recently observed states \( \Omega_c^0(3000) \), \( \Omega_c^0(3050) \), \( \Omega_c^0(3067) \), \( \Omega_c^0(3120) \), and \( \Omega_c^0(3185) \) as well as possible spin assignments for the four newly observed excited states of \( \Omega_b^- \) (\(\Omega_b^-(6316)\), \(\Omega_b^-(6330)\), \(\Omega_b^-(6340)\), and \(\Omega_b^-(6350)\)) are proposed. The magnetic moments of the ground and first excited states are also calculated, along with radiative decay widths and transition magnetic moments. The non-leptonic weak decays of \( \Omega_c^0 \) are analyzed, with decay widths and branching ratios computed and compared with experimental data to validate the predictive power of the model. The branching ratios for the non-leptonic decays of $\Omega_b^-$ are also predicted for future observations.