Radiative M1 transitions of heavy baryons: Effective Quark Mass Scheme

Abstract

We calculate the magnetic moments of ground state $J^P={\frac{1}{2}}^{+}$ and $J^P={\frac{3}{2}}^{+}$ heavy flavor charm and bottom baryon states employing the concept of effective mass based on single gluon exchange interaction coupling to the spectator quarks in the non-relativistic quark model. We exploit the current experimental information in the heavy flavor sector to estimate the interaction contributions to get the effective masses of the quarks inside the baryons. We study the spin ${\frac{1}{2}}^{{}^{\prime }+}\to {\frac{1}{2}}^{+}$, ${\frac{3}{2}}^{+}\to {\frac{1}{2}}^{+}$, and ${\frac{3}{2}}^{+}\to {\frac{1}{2}}^{{}^{\prime }+}$ transition moments for these baryons. We make robust predictions of the radiative M1 decay widths of singly, doubly, and triply heavy flavored baryons.

Comments: 32 pages, 15 Tables