Instantons and charmed baryon mass splittings

Abstract

Masses of baryons with one charmed valence quark are calculated using the approach of Shuryak and Rosner. In their model the masses of vector and scalar diquarks inside baryons are different. It is shown that the parameters of this model for charmed baryons should differ from non-charmed baryons. In the family of such single charmed baryons we predict at least one baryon Ω c ∗ which shoud decay with the emission of photons, while the rest with J P= 3 2 + (∑ c ∗ and ξ c ∗) might decay via strong interaction with the emission of pions. A generalisation of the Gell-Mann-Okubo relation and the masses of the single charmed baryons are predicted.