Spin-$\frac{3}{2}$ doubly charmed baryon contribution to the magnetic moments of the spin-$\frac{1}{2}$ doubly charmed baryons

Abstract

We have systematically investigated the magnetic moments of spin-$\frac{1}{2}$ doubly charmed baryons in the framework of the heavy baryon chiral perturbation theory. In this paper, one loop corrections with intermediate spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryon states are considered. The numerical results are calculated to next-to-leading order: ${\mu }_{{\Xi }_{cc}^{++}}=0.35{\mu }_N$, ${\mu }_{{\Xi }_{cc}^{+}}=0.62{\mu }_N$, ${\mu }_{{\Omega }_{cc}^{+}}=0.41{\mu }_N$. Our results may be useful for future experiment and chiral extrapolation of the lattice QCD.