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

Abstract

The radiative baryonic decay ${\mathcal{B}}^{\ast }\left(\frac{3}{2}\right)\to \mathcal{B}\left(\frac{1}{2}\right)+\gamma$ 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 ${\Delta }^{+}\to p+\gamma$, ${\Sigma }^{\ast 0}\to \Lambda +\gamma$, ${\Sigma }^{\ast +}\to {\Sigma }^{+}+\gamma$ and ${\Xi }^{\ast 0}\to {\Xi }^0+\gamma$ are analyzed in detail. The branching ratio for these decays is found to be in good agreement with the corresponding experimental values.

Comments: 9 pages, no figure