$Ξ_c γ\rightarrowΞ^\prime_c$ transition in lattice QCD

Abstract

We evaluate the electromagnetic $Ξ_c γ\rightarrowΞ_c^\prime$ transition on 2+1 flavor lattices corresponding to a pion mass of $\sim 156$ MeV. We extract the magnetic Sachs and Pauli form factors which give the $Ξ_c$-$Ξ_c^\prime$ transition magnetic moment and the decay rates of $Ξ_c^\prime$ baryons. We did not find a signal for the magnetic form factor of the neutral transition $Ξ_c^0 γ\rightarrowΞ_c^{\prime 0}$, which is suppressed by the U-spin flavor symmetry. As a byproduct, we extract the magnetic form factors and the magnetic moments of $Ξ_c$ and $Ξ_c^\prime$ baryons, which give an insight to the dynamics of $u/d$, $s$ and $c$ quarks having masses at different scales.

8 pages, 2 figures. Version published in Phys. Lett. B