${\Xi }_c\gamma \to {\Xi }_c^{\prime }$ transition in lattice QCD

Abstract

We evaluate the electromagnetic ${\Xi }_c\gamma \to {\Xi }_c^{\prime }$ 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 ${\Xi }_c$-${\Xi }_c^{\prime }$ transition magnetic moment and the decay rates of ${\Xi }_c^{\prime }$ baryons. We did not find a signal for the magnetic form factor of the neutral transition ${\Xi }_c^0\gamma \to {\Xi }_c^{\prime 0}$, which is suppressed by the U-spin flavor symmetry. As a byproduct, we extract the magnetic form factors and the magnetic moments of ${\Xi }_c$ and ${\Xi }_c^{\prime }$ baryons, which give an insight to the dynamics of $u/d$, $s$ and $c$ quarks having masses at different scales.

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