Analysis of the ${\mathrm{\Lambda }}_Q$ baryons in the nuclear matter with the QCD sum rules

In this article, we study the ${\mathrm{\Lambda }}_c$ and ${\mathrm{\Lambda }}_b$ baryons in the nuclear matter using the QCD sum rules, and obtain the in-medium masses $M_{{\mathrm{\Lambda }}_c}^{\ast }=2.335\mathrm{G}\mathrm{e}\mathrm{V}$, $M_{{\mathrm{\Lambda }}_b}^{\ast }=5.678\mathrm{G}\mathrm{e}\mathrm{V}$, the in-medium vector self-energies ${\mathrm{\Sigma }}_v^{{\mathrm{\Lambda }}_c}=34\mathrm{M}\mathrm{e}\mathrm{V}$, ${\mathrm{\Sigma }}_v^{{\mathrm{\Lambda }}_b}=32\mathrm{M}\mathrm{e}\mathrm{V}$, and the in-medium pole residues ${\lambda }_{{\mathrm{\Lambda }}_c}^{\ast }=0.021{\mathrm{G}\mathrm{e}\mathrm{V}}^3$, ${\lambda }_{{\mathrm{\Lambda }}_b}^{\ast }=0.026{\mathrm{G}\mathrm{e}\mathrm{V}}^3$. The mass-shifts are $M_{{\mathrm{\Lambda }}_c}^{\ast }-M_{{\mathrm{\Lambda }}_c}=51\mathrm{M}\mathrm{e}\mathrm{V}$ and $M_{{\mathrm{\Lambda }}_b}^{\ast }-M_{{\mathrm{\Lambda }}_b}=60\mathrm{M}\mathrm{e}\mathrm{V}$, respectively.