$$\Xi _c$$ and $$\Xi _b$$ excited states within a $$\mathrm{SU(6)}_{\mathrm{lsf}}\times $$HQSS model

Abstract

AbstractWe study odd parity $$J=1/2$$J=1/2 and $$J=3/2$$J=3/2$$\Xi _c$$Ξc resonances using a unitarized coupled-channel framework based on a $$\mathrm{SU(6)}_{\mathrm{lsf}}\times $$SU(6)lsf×HQSS-extended Weinberg–Tomozawa baryon–meson interaction, while paying a special attention to the renormalization procedure. We predict a large molecular $$\Lambda _c {\bar{K}}$$ΛcK¯ component for the $$\Xi _c(2790)$$Ξc(2790) with a dominant $$0^-$$0- light-degree-of-freedom spin configuration. We discuss the differences between the $$3/2^-$$3/2-$$\Lambda _c(2625)$$Λc(2625) and $$\Xi _c(2815)$$Ξc(2815) states, and conclude that they cannot be SU(3) siblings, whereas we predict the existence of other $$\Xi _c$$Ξc-states, one of them related to the two-pole structure of the $$\Lambda _c(2595)$$Λc(2595). It is of particular interest a pair of $$J=1/2$$J=1/2 and $$J=3/2$$J=3/2 poles, which form a HQSS doublet and that we tentatively assign to the $$\Xi _c(2930)$$Ξc(2930) and $$\Xi _c(2970)$$Ξc(2970), respectively. Within this picture, the $$\Xi _c(2930)$$Ξc(2930) would be part of a SU(3) sextet, containing either the $$\Omega _c(3090)$$Ωc(3090) or the $$\Omega _c(3119)$$Ωc(3119), and that would be completed by the $$\Sigma _c(2800)$$Σc(2800). Moreover, we identify a $$J=1/2$$J=1/2 sextet with the $$\Xi _b(6227)$$Ξb(6227) state and the recently discovered $$\Sigma _b(6097)$$Σb(6097). Assuming the equal spacing rule and to complete this multiplet, we predict the existence of a $$J=1/2$$J=1/2$$\Omega _b$$Ωb odd parity state, with a mass of 6360 MeV and that should be seen in the $$\Xi _b {\bar{K}}$$ΞbK¯ channel.