Magnetic dipole moments of bottom-charm baryons in light-cone QCD

Abstract

Abstract The magnetic dipole moments of the doubly-heavy baryons include significant data on their inner structure and geometric shape. Moreover, understanding the electromagnetic properties of doubly-heavy baryons is the key to confinement and heavy flavor effects. Inspired by this, we extract the magnetic dipole moments of the spin- $$\frac{1}{2}$$ 1 2 bottom-charm baryons utilizing the QCD light-cone sum rule with considering the distribution amplitudes of the photon. The magnetic dipole moments are obtained as $$\mu _{\Xi _{bc}^{+}} = -0.50^{+0.14}_{-0.12}~\mu _{N}$$ μ Ξ bc + = - 0 . 50 - 0.12 + 0.14 μ N , $$\mu _{\Xi _{bc}^{0}} = 0.39^{+0.06}_{-0.05}~\mu _{N}$$ μ Ξ bc 0 = 0 . 39 - 0.05 + 0.06 μ N and $$\mu _{\Omega _{bc}^{0}} = 0.38^{+0.05}_{-0.04} ~\mu _{N}$$ μ Ω bc 0 = 0 . 38 - 0.04 + 0.05 μ N , $$\mu _{\Xi _{bc}^{\prime +}} = 0.57^{+0.13}_{-0.12}~\mu _{N}$$ μ Ξ bc ′ + = 0 . 57 - 0.12 + 0.13 μ N , $$\mu _{\Xi _{bc}^{\prime 0}} =-0.29^{+0.07}_{-0.06}~\mu _{N}$$ μ Ξ bc ′ 0 = - 0 . 29 - 0.06 + 0.07 μ N and $$\mu _{\Omega _{bc}^{\prime 0}} = -0.26^{+0.06}_{-0.05}~\mu _{N}$$ μ Ω bc ′ 0 = - 0 . 26 - 0.05 + 0.06 μ N . Comparing the results obtained on the magnetic dipole moments of the $$\Omega ^{(\prime )0}_{bc}$$ Ω bc ( ′ ) 0 baryon with those of the $$\Xi ^{(\prime )0}_{bc}$$ Ξ bc ( ′ ) 0 baryon, the U-symmetry is minimally broken. We have compared our results with other theoretical predictions that could be a useful complementary tool for the interpretation of the doubly-heavy baryon sector, and we observe that they are not in mutual agreement with each other.