Analysis of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Σ</mml:mi><mml:mi>Q</mml:mi></mml:msub></mml:math>baryons in nuclear matter with QCD sum rules

In this article, we extend our previous work to study the $\ensuremath{\Sigma}$-type heavy baryons ${\ensuremath{\Sigma}}_{c}$ and ${\ensuremath{\Sigma}}_{b}$ in nuclear matter using QCD sum rules and obtain three coupled QCD sum rules for the masses ${M}_{{\ensuremath{\Sigma}}_{Q}}^{*}$, vector self-energies ${\ensuremath{\Sigma}}_{v}$, and pole residues ${\ensuremath{\lambda}}_{{\ensuremath{\Sigma}}_{Q}}^{*}$ in nuclear matter. Then we take into account the effects of the unequal pole residues from different spinor structures, normalize the masses from QCD sum rules in vacuum to the experimental data, and obtain the mass shifts $\ensuremath{\delta}{M}_{{\ensuremath{\Sigma}}_{c}}=\ensuremath{-}123\phantom{\rule{0.28em}{0ex}}\mathrm{MeV}$ and $\ensuremath{\delta}{M}_{{\ensuremath{\Sigma}}_{b}}=\ensuremath{-}375\phantom{\rule{0.28em}{0ex}}\mathrm{MeV}$ in the nuclear matter.

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