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

TL;DR

This paper calculates the magnetic moments of spin-1/2 doubly charmed baryons using heavy baryon chiral perturbation theory, including one-loop corrections with intermediate states, providing results useful for future experiments and lattice QCD extrapolations.

Contribution

It introduces a systematic calculation of magnetic moments of doubly charmed baryons at next-to-leading order, incorporating spin-1/2 and spin-3/2 intermediate states within chiral perturbation theory.

Findings

Calculated magnetic moments: μ_{Ξ^{++}_{cc}}=0.35μ_N, μ_{Ξ^{+}_{cc}}=0.62μ_N, μ_{Ω^{+}_{cc}}=0.41μ_N

Includes one-loop corrections with intermediate states

Results aid future experimental and lattice QCD studies

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.