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

• Main Authors: Lu Meng, Hao-Song Li, Zhan-Wei Liu, Shi-Lin Zhu
• Format: Article
• Language: English
• Published: SpringerOpen 2017-12-01
• Series: European Physical Journal C: Particles and Fields
• Online Access: http://link.springer.com/article/10.1140/epjc/s10052-017-5447-8
• ISSN: 1434-6044; 1434-6052

Abstract In this work, we investigate the chiral corrections to the magnetic moments of the spin- $$3\over 2$$ 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: $$\mu _{\varXi ^{*++}_{cc}}=2.61\mu _{N}$$ μ Ξ cc ∗ + + = 2.61 μ N , $$\mu _{\varXi ^{*+}_{cc}}=-0.18\mu _{N}$$ μ Ξ cc ∗ + = - 0.18 μ N , $$\mu _{\varOmega ^{*+}_{cc}}=0.17\mu _{N}$$ μ Ω cc ∗ + = 0.17 μ N . As a by-product, we have also calculated the magnetic moments of the spin- $$3\over 2$$ 3 2 doubly bottom baryons and charmed bottom baryons: $$\mu _{\varXi ^{*0}_{bb}}=2.83\mu _{N}$$ μ Ξ bb ∗ 0 = 2.83 μ N , $$\mu _{\varXi ^{*-}_{bb}}=-1.33\mu _{N}$$ μ Ξ bb ∗ - = - 1.33 μ N , $$\mu _{\varOmega ^{*-}_{bb}}=-1.54\mu _{N}$$ μ Ω bb ∗ - = - 1.54 μ N , $$\mu _{\varXi ^{*+}_{bc}}=3.22\mu _{N}$$ μ Ξ bc ∗ + = 3.22 μ N , $$\mu _{\varXi ^{*0}_{bc}}=-0.84\mu _{N}$$ μ Ξ bc ∗ 0 = - 0.84 μ N , $$\mu _{\varOmega ^{*0}_{bc}}=-1.09\mu _{N}$$ μ Ω bc ∗ 0 = - 1.09 μ N .