Magnetic Moment of the $Λ_c$, $Ξ_{c1}^+$ and $Ξ_{c1}^0$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, 1 uuencoded figure included, uses harvmac and epsf, CMU-HEP 94-06

Scientific paper

10.1016/0370-2693(94)91326-9

The magnetic moment of the $\Lambda_c$, $\Xi_{c1}^+$ and $\Xi_{c1}^0$ vanish when the charm quark mass is taken to infinity because the light degrees of freedom are in a spin zero configuration. The heavy quark spin-symmetry violating contribution from the light degrees of freedom starts at order $1/m_c$, the same order as the contribution from the heavy charm quark. We compute the leading long-distance contribution to the magnetic moments from the spin-symmetry breaking $\Sigma_c^*-\Sigma_c $ mass splitting in chiral perturbation theory. These are nonanalytic in the pion mass and arise from calculable one-loop graphs. Further, the difference between the magnetic moments of the charged charmed baryons is independent of the charm quark mass and of the subleading local counterterm.

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