$\Omega_c \gamma \rightarrow\Omega_c^\ast$ transition in lattice QCD

TL;DR

This study uses lattice QCD to analyze the electromagnetic transition between $\Omega_c$ and $\Omega_c^ extasciicircum$ baryons, calculating form factors, helicity amplitudes, and decay rates to understand their decay mechanisms.

Contribution

It provides the first lattice QCD calculation of the $\Omega_c ightarrow \Omega_c^ extasciicircum$ transition form factors and decay properties, highlighting the dominance of the strange quark in the magnetic dipole form factor.

Findings

Magnetic dipole form factor mainly determined by strange quark

Electric quadrupole form factor is negligibly small

Decay rate and helicity amplitudes are computed

Abstract

We study the electromagnetic $\Omega_c \gamma \rightarrow\Omega_c^\ast$ transition in 2+1 flavor lattice QCD, which gives access to the dominant decay mode of $\Omega_c^\ast$ baryon. The magnetic dipole and the electric quadrupole transition form factors are computed. The magnetic dipole form factor is found to be mainly determined by the strange quark and the electric quadrupole form factor to be negligibly small, in consistency with the quark model. We also evaluate the helicity amplitudes and the decay rate.