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

Abstract

In this work, we investigate the chiral corrections to the magnetic moments of the spin-$3\over 2$ doubly charmed baryons systematically up to next-to-next-to-leading order with the heavy baryon chiral perturbation theory. The numerical results are given up to next-to-leading order: $μ_{Ξ^{*++}_{cc}}=1.72μ_{N}$, $μ_{Ξ^{*+}_{cc}}=-0.09μ_{N}$, $μ_{Ω^{*+}_{cc}}=0.99μ_{N}$. As a by-product, we have also calculated the magnetic moments of the spin-$3\over 2$ doubly bottom baryons and charmed bottom baryons: $μ_{Ξ^{*0}_{bb}}=0.63μ_{N}$, $μ_{Ξ^{*-}_{bb}}=-0.79μ_{N}$, $μ_{Ω^{*-}_{bb}}=0.12μ_{N}$, $μ_{Ξ^{*+}_{bc}}=1.12μ_{N}$, $μ_{Ξ^{*0}_{bc}}=-0.40μ_{N}$, $μ_{Ω^{*0}_{bc}}=0.56μ_{N}$.