Analysis of the doubly heavy baryons in the nuclear matter with the QCD sum rules

Abstract

In this article, we study the doubly heavy baryon states ${\Xi }_{cc}$, ${\Omega }_{cc}$, ${\Xi }_{bb}$ and ${\Omega }_{bb}$ in the nuclear matter using the QCD sum rules, and derive three coupled QCD sum rules for the masses, vector self-energies and pole residues. The predictions for the mass-shifts in the nuclear matter $\Delta M_{{\Xi }_{cc}}=-1.11\mathrm{GeV}$, $\Delta M_{{\Omega }_{cc}}=-0.33\mathrm{GeV}$, $\Delta M_{{\Xi }_{bb}}=-3.37\mathrm{GeV}$ and $\Delta M_{{\Omega }_{bb}}=-1.05\mathrm{GeV}$ can be confronted with the experimental data in the future.

Comments: 10 pages, 4 figures