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

The magnetic dipole moments of the spin-32 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 by μ${}_{{\Xi }_{cc}^{\ast ++}}$=2.94±0.95, μ${}_{{\Xi }_{cc}^{\ast +}}$=-0.67±0.11, μ${}_{{\Omega }_{cc}^{\ast +}}$=-0.52±0.07, μ${}_{{\Xi }_{bb}^{\ast 0}}$=2.30±0.55, μ${}_{{\Xi }_{bb}^{\ast -}}$=-1.39±0.32, μ${}_{{\Omega }_{bb}^{\ast -}}$=-1.56±0.33, μ${}_{{\Xi }_{bc}^{\ast +}}$=2.63±0.82, μ${}_{{\Xi }_{bc}^{\ast 0}}$=-0.96±0.32 and μ${}_{{\Omega }_{bc}^{\ast +}}$=-1.11±0.33, respectively.