Analysis of the Λ _Q baryons in the nuclear matter with the QCD sum rules

Abstract

In this article, we study the Λ _c and Λ _b baryons in the nuclear matter using the QCD sum rules, and obtain the in-medium masses $M_{\varLambda _{c}}^{*}=2.335~\mathrm{GeV}$, $M_{\varLambda _{b}}^{*}=5.678~\mathrm{GeV}$, the in-medium vector self-energies $\varSigma ^{\varLambda _{c}}_{v}=34~\mathrm{MeV}$, $\varSigma ^{\varLambda _{b}}_{v}=32~\mathrm {MeV}$, and the in-medium pole residues $\lambda_{\varLambda _{c}}^{*}=0.021~\mathrm{GeV}^{3}$, $\lambda_{\varLambda _{b}}^{*}=0.026~\mathrm{GeV}^{3}$. The mass-shifts are $M_{\varLambda _{c}}^{*}-M_{\varLambda _{c}}=51~\mathrm{MeV}$ and $M_{\varLambda _{b}}^{*}-M_{\varLambda _{b}}=60~\mathrm{MeV}$, respectively.