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 ${\Lambda }_Q,{\Sigma }_Q$ and ${\Xi }_Q$ baryons, with Q being $b$ or $c$ quark. The maximum shift in mass due to nuclear matter belongs to the ${\Sigma }_c$ baryon and it is found to be $\Delta m_{{\Sigma }_c}=-936MeV$. In the case of residue, it is obtained that the residue of ${\Sigma }_b$ baryon is maximally affected by the nuclear medium with the shift $\Delta {\lambda }_{{\Sigma }_b}=-0.014Ge{V}^3$. The scalar and vector self-energies are found to be ${\Sigma }_{{\Lambda }_b}^S=653MeV$, ${\Sigma }_{{\Sigma }_b}^S=-614MeV$, ${\Sigma }_{{\Xi }_b}^S=-17MeV$, ${\Sigma }_{{\Lambda }_c}^S=272MeV$, ${\Sigma }_{{\Sigma }_c}^S=-936MeV$, ${\Sigma }_{{\Xi }_c}^S=-5MeV$ and ${\Sigma }_{{\Lambda }_b}^{\nu }=436\pm 148MeV$, ${\Sigma }_{{\Sigma }_b}^{\nu }=382\pm 129MeV$, ${\Sigma }_{{\Xi }_b}^{\nu }=15\pm 5MeV$, ${\Sigma }_{{\Lambda }_c}^{\nu }=151\pm 45MeV$, ${\Sigma }_{{\Sigma }_c}^{\nu }=486\pm 144MeV$ and ${\Sigma }_{{\Xi }_c}^{\nu }=1.391\pm 0.529MeV$.

Comments: 13 Pages, 11 Figures and 5 Tables