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

Abstract

In this work, we investigate the chiral corrections to the magnetic moments of the spin-$\frac{3}{2}$ 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: ${\mu }_{{\Xi }_{cc}^{\ast ++}}=1.72{\mu }_N$, ${\mu }_{{\Xi }_{cc}^{\ast +}}=-0.09{\mu }_N$, ${\mu }_{{\Omega }_{cc}^{\ast +}}=0.99{\mu }_N$. As a by-product, we have also calculated the magnetic moments of the spin-$\frac{3}{2}$ doubly bottom baryons and charmed bottom baryons: ${\mu }_{{\Xi }_{bb}^{\ast 0}}=0.63{\mu }_N$, ${\mu }_{{\Xi }_{bb}^{\ast -}}=-0.79{\mu }_N$, ${\mu }_{{\Omega }_{bb}^{\ast -}}=0.12{\mu }_N$, ${\mu }_{{\Xi }_{bc}^{\ast +}}=1.12{\mu }_N$, ${\mu }_{{\Xi }_{bc}^{\ast 0}}=-0.40{\mu }_N$, ${\mu }_{{\Omega }_{bc}^{\ast 0}}=0.56{\mu }_N$.

10 pages,2 figures. arXiv admin note: text overlap with arXiv:1707.02765. Replace the published version

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