Cascade ($\Xi^0$) Baryon Spectroscopy in the Relativistic Framework of Independent Quark Model

TL;DR

This paper models the spectroscopy of the $\\Xi^0$ baryon using a relativistic independent quark framework, calculating mass spectra, magnetic moments, and decay properties, and confirming resonance quantum numbers through Regge trajectories.

Contribution

It introduces a relativistic independent quark model with a specific potential form to analyze $\\Xi^0$ baryon spectra and properties, providing new predictions and resonance quantum number confirmations.

Findings

Calculated mass spectra for high excitations match experimental data.

Confirmed quantum numbers of known resonances via Regge trajectories.

Predicted quantum numbers and decay properties for less established resonances.

Abstract

The spectroscopy of $\Xi^0$ is performed within the relativistic framework of independent quark model. The equal mixture of scalar and vector components in the potential having Martin-like form is considered for the confinement. With the suitable potential parameters for $\Xi^0$, mass spectra for high radial and orbital excitation is calculated. The experimentally observed values of ground state magnetic moment, branching ratios and asymmetry parameters for radiative weak decays, $\Xi^{0}\rightarrow\Lambda^{0} + \gamma^{0}$ \& $\Xi^{0}\rightarrow\Sigma^{0} + \gamma^{0}$ are obtained to validate the model. The spin parity of experimentally known resonances like $\Xi(1530)$, $\Xi(1820)$, \& $\Xi(2030)$ are confirmed through the Regge trajectories in $(J,M^2)$ plane. The spin pa+rity of $\Xi(1950)$, $\Xi(2130)$, \& $\Xi(2250)$ are predicted using those Regge trajectories. The radiative decay width and magnetic moment of first resonance is also predicted.