Scalar and vector self-energies of heavy baryons in nuclear medium

Abstract

The in-medium sum rules are employed to calculate the shifts in the mass and residue as well as the scalar and vector self-energies of the heavy $Λ_Q, Σ_Q$ and $Ξ_Q$ baryons, with Q being $b$ or $c$ quark. The maximum shift in mass due to nuclear matter belongs to the $Σ_c$ baryon and it is found to be $Δm_{Σ_{c}}=-936 ~ MeV$. In the case of residue, it is obtained that the residue of $Σ_b$ baryon is maximally affected by the nuclear medium with the shift $Δλ_{Σ_b} = -0.014 ~ GeV^3 $. The scalar and vector self-energies are found to be $Σ^{S}_{Λ_b} = 653 ~ MeV$, $Σ^{S}_{Σ_b} = -614 ~ MeV $, $Σ^{S}_{Ξ_b} = -17 ~ MeV $, $Σ^{S}_{Λ_c} = 272 ~ MeV $, $Σ^{S}_{Σ_c} = -936 ~ MeV $, $Σ^{S}_{Ξ_c} = -5 ~ MeV $ and $Σ^ν_{Λ_b} = 436 \pm 148 ~ MeV $, $Σ^ν_{Σ_b} = 382 \pm 129 ~MeV $, $Σ^ν_{Ξ_b} =15 \pm 5 ~ MeV$, $Σ^ν_{Λ_c} = 151 \pm 45 ~ MeV $, $Σ^ν_{Σ_c} = 486 \pm 144 ~ MeV $ and $Σ^ν_{Ξ_c} = 1.391 \pm 0.529 ~ MeV $.

13 Pages, 11 Figures and 5 Tables