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Analysis of the $Σ_Q$ baryons in the nuclear matter with the QCD sum rules

In this article, we extend our previous work to study the $Σ$-type heavy baryons $Σ_c$ and $Σ_b$ in the nuclear matter using the QCD sum rules, and obtain three coupled QCD sum rules for the masses $M_{Σ_Q}^*$, vector self-energies $Σ_v$ and pole residues $λ^*_{Σ_Q}$ in the nuclear matter. Then we take into account the effects of the unequal pole residues from different spinor structures, and normalize the masses from the QCD sum rules in the vacuum to the experimental data, and obtain the mass-shifts $δM_{Σ_c}=-123\,\rm{MeV}$ and $δM_{Σ_b}=-375\,\rm{MeV}$ in the nuclear matter.