Radiative Baryonic Decay $\mathcal{B}^{*}\left(\frac{3}{2}\right)\to\mathcal{B}\left(\frac{1}{2}\right)+\gamma$ in Constituent Quark Model: A Tutorial

TL;DR

This paper calculates the transition magnetic moments for radiative baryonic decays using a constituent quark model, providing detailed analysis and good agreement with experimental branching ratios.

Contribution

It introduces a detailed constituent quark model approach to evaluate magnetic moments in radiative baryonic decays, enhancing understanding of these processes.

Findings

Calculated transition magnetic moments for specific baryon decays.

Predicted branching ratios match experimental data.

Provided a tutorial-style detailed analysis of the decay processes.

Abstract

The radiative baryonic decay $\mathcal{B}^{*}\left(\frac{3}{2}\right)\to\mathcal{B}\left(\frac{1}{2}\right)+\gamma$ is a magnetic dipole $(M1)$ transition. It requires the transition magnetic moment $\mu_{\mathcal{B}\left(3/2\right)\to\mathcal{B}\left(1/2\right)}$. The transition magnetic moments for the helicities $1/2$ and $3/2$ are evaluated in the frame work of constituent quark model in which the intrinsic spin and the magnetic moments of quarks $u,d$ and $s$ play a key role. Within this framework, the radiative decays $\Delta^{+}\to p +\gamma$, $\Sigma^{*0}\to \Lambda+\gamma$, $\Sigma^{*+}\to \Sigma^{+}+\gamma$ and $\Xi^{*0}\to \Xi^{0}+\gamma$ are analyzed in detail. The branching ratio for these decays is found to be in good agreement with the corresponding experimental values.