Magnetic Dipole Transitions of $B_c$ and $B_c^*$ mesons in the Relativistic Independent Quark Model

TL;DR

This paper investigates magnetic dipole (M1) transitions of $B_c$ and $B_c^*$ mesons using a relativistic independent quark model, providing predictions for decay widths and coupling constants relevant for experimental detection.

Contribution

It offers analytical calculations of M1-transition form factors and decay widths for $B_c$ mesons within a relativistic quark model, including predictions for excited states and their experimental implications.

Findings

Predicted coupling constant g_{B_c^* B_c} = 0.34 GeV^{-1}

Decay width for $B_c^* o B_c o ext{gamma}$ is 23 eV

Results are consistent with other theoretical models

Abstract

We study M1-transitions involving mesons: $B_c(1s)$, $B_c^*(1s)$, $B_c(2s)$, $B_c^*(2s)$, $B_c(3s)$ and $B_c^*(3s)$ in the relativistic independent quark (RIQ) model based on a flavor independent average potential in the scalar-vector harmonic form. The transition form factor for $B_c^*\to B_c\gamma$ is found to have analytical continuation from spacelike to physical timelike region. Our predicted coupling constant $g_{B_c^* B_c}$ = 0.34 Ge$V^{-1}$ and decay width $\Gamma(B_c^*\to B_c\gamma)$ = 23 eV agree with other model predictions. In view of possible observation of $B_c$ and $B_c^*$ s-wave states at LHC and Z-factory and potential use of theoretical estimate on M1-transitions, we investigate the allowed as well as hindered transitions of orbitally excited $B_c$-meson states and predict their decay widths in overall agreement with other model predictions. We consider the typical case of $B_c^*(1s)\to B_c(1s)\gamma$, where our predicted decay width which is found quite sensitive to the mass difference between $B_c^*$ and $B_c$ mesons may help in determining the mass of $B_c^*$ experimentally.