Study of isospin eigenstates of the pentaquark molecular states with strangeness

Abstract

In the paper, we construct eight color singlet-singlet type five-quark currents with distinguished isospins to study the $\bar{D}{\Xi }^{\prime }$, $\bar{D}{\Xi }_c^{\ast }$, ${\bar{D}}^{\ast }{\Xi }_c^{\prime }$ and ${\bar{D}}^{\ast }{\Xi }_c^{\ast }$ molecular states with strangeness via the QCD sum rules. Numerical results show that the central values of the pentaquark masses with higher (lower) isospin are slightly above (below) the thresholds of the corresponding meson-baryon pairs, and support assigning the $P_{cs}(4459)$ as the $\bar{D}{\Xi }_c^{\ast }$ molecular state with the quantum numbers $I{J}^P=0{\frac{3}{2}}^{-}$. The other predictions can be confronted to the experimental data in the future.

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Cited by in corpus (16)

• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• The singly-charmed pentaquark molecular states via the QCD sum rules
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Hidden-charm pentaquark states in a mass splitting model
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• The $X(6900)$ peak could be a molecular state
• Doubly-Charm and Doubly-Bottom Pentaquark molecular States via the QCD sum rules
• Strong decays of $P_{\psi }^N(4440{)}^{+}$ and $P_{\psi }^N(4457{)}^{+}$ within the Bethe-Salpeter framework
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi p$ mass spectrum with QCD sum rules
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules
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• Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Lambda$ mass spectrum via the QCD sum rules