Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules

Abstract

In this article, we investigate the $\bar{D}{\Sigma }_c$, $\bar{D}{\Xi }_c^{\prime }$, $\bar{D}{\Sigma }_c^{\ast }$, $\bar{D}{\Xi }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$, ${\bar{D}}^{\ast }{\Xi }_c^{\prime }$, ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ and ${\bar{D}}^{\ast }{\Xi }_c^{\ast }$ pentaquark molecular states with strangeness and without strangeness via the QCD sum rules at length, pay much attention to the light flavor $SU(3)$ breaking effects, and make predictions for new pentaquark molecular states besides assigning the $P_c(4312)$, $P_c(4380)$, $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$ self-consistently. We can search for those pentaquark molecular states in the decays of the ${\Lambda }_b^0$, ${\Xi }_b^0$ and ${\Xi }_b^{-}$ in the future. Furthermore, we discuss the higher dimensional vacuum condensates in details.

arXiv comment15 pages, 10 figures

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• Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states
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• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
• $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra
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• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
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• 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
• Isospin eigenstates of the color singlet-singlet type pentaquark states
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Doubly-Charm and Doubly-Bottom Pentaquark molecular States via the QCD sum rules
• Heavy-light hybrid mesons with different spin-parities
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Possible molecules of triple-heavy pentaquarks within the extended local hidden gauge formalism
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Exotic Heavy Hadrons
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton
• Analysis of the $X(4475/4710)$, $X(4500/4700)$, $Z_c(4600)$, $Z_{\bar{c}\bar{s}}(4600)$ and related tetraquark states with the QCD sum rules