Magnetic moments of the doubly charmed and bottomed baryons

Abstract

The chiral corrections to the magnetic moments of the spin-$\frac{1}{2}$ doubly charmed baryons are systematically investigated up to next-to-next-to-leading order with heavy baryon chiral perturbation theory (HBChPT). The numerical results are calculated up to next-to-leading order: $μ_{Ξ^{++}_{cc}}=-0.25μ_{N}$, $μ_{Ξ^{+}_{cc}}=0.85μ_{N}$, $μ_{Ω^{+}_{cc}}=0.78μ_{N}$. We also calculate the magnetic moments of the other doubly heavy baryons, including the doubly bottomed baryons (bbq) and the doubly heavy baryons containing a light quark, a charm quark and a bottom quark ($\{bc\}q$ and $[bc]q$): $μ_{Ξ^{0}_{bb}}=-0.84μ_{N}$, $μ_{Ξ^{-}_{bb}}=0.26μ_{N}$, $μ_{Ω^{-}_{bb}}=0.19μ_{N}$, $μ_{Ξ^{+}_{\{bc\}q}}=-0.54μ_{N}$, $μ_{Ξ^{0}_{\{bc\}q}}=0.56μ_{N}$, $μ_{Ω^{0}_{\{bc\}q}}=0.49μ_{N}$, $μ_{Ξ^{+}_{[bc]q}}=0.69μ_{N}$, $μ_{Ξ^{0}_{[bc]q}}=-0.59μ_{N}$, $μ_{Ω^{0}_{[bc]q}}=0.24μ_{N}$.

11 pages, 2 figures