Magnetic dipole moments of the spin-$\frac{3}{2}$ doubly heavy baryons

Abstract

The magnetic dipole moments of the spin-$\frac{3}{2}$ doubly charmed, bottom and charmed-bottom baryons are obtained by means of the light-cone QCD sum rule. The magnetic dipole moments of these baryons encode essential knowledge of their inner structure and shape deformations. The numerical results are given as, ${\mu }_{{\Xi }_{cc}^{\ast ++}}=2.94\pm 0.95$, ${\mu }_{{\Xi }_{cc}^{\ast +}}=-0.67\pm 0.11$, ${\mu }_{{\Omega }_{cc}^{\ast +}}=-0.52\pm 0.07$, ${\mu }_{{\Xi }_{bb}^{\ast 0}}=2.30\pm 0.55$, ${\mu }_{{\Xi }_{bb}^{\ast -}}=-1.39\pm 0.32$, ${\mu }_{{\Omega }_{bb}^{\ast -}}=-1.56\pm 0.33$, ${\mu }_{{\Xi }_{bc}^{\ast +}}=2.63\pm 0.82$, ${\mu }_{{\Xi }_{bc}^{\ast 0}}=-0.96\pm 0.32$ and ${\mu }_{{\Omega }_{bc}^{\ast +}}=-1.11\pm 0.33$, respectively.

Comments: 9 pages, 4 tables and 2 figures