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

Rameshri V. Patel; Manan N. Shah

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arXiv · 2407.16409

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

Rameshri V. Patel·Manan N. Shah

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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.

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Rameshri V. Patel, Manan N. Shah. 2024-07-23. Cascade ($\Xi^0$) Baryon Spectroscopy in the Relativistic Framework of Independent Quark Model. https://arxiv.org/abs/2407.16409

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