Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules

Abstract

In this article, we tentatively assign the $P_c(4312)$ to be the $\bar{D}{\Sigma }_c$ pentaquark molecular state with the spin-parity $J^P={\frac{1}{2}}^{-}$, and discuss the factorizable and non-factorizable contributions in the two-point QCD sum rules for the $\bar{D}{\Sigma }_c$ molecular state in details to prove the reliability of the single pole approximation in the hadronic spectral density. We study its two-body strong decays with the QCD sum rules, special attentions are paid to match the hadron side with the QCD side of the correlation functions to obtain solid duality. We obtain the partial decay widths $\Gamma \left(P_c(4312)\to {\eta }_{c}p\right)=0.255\mathrm{MeV}$ and $\Gamma \left(P_c(4312)\to J/\psi p\right)=9.296_{-9.296}^{+19.542}\mathrm{MeV}$, which are compatible with the experimental value of the total width, and support assigning the $P_c(4312)$ to be the $\bar{D}{\Sigma }_c$ pentaquark molecular state.

arXiv comment20 pages, 13 figures

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• Hidden-charm pentaquark states through the current algebra: From their productions to decays
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• Exotic Hadrons at LHCb
• Prompt production of the hidden charm pentaquarks in the LHC
• The decay widths of the $Z_{cs}(3985/4000)$ based on rigorous quark-hadron duality
• Magnetic moments of the vector hidden-charmed tetraquark states
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Analysis of the tetraquark and hexaquark molecular states with the QCD sum rules
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• Doubly-Charm and Doubly-Bottom Pentaquark molecular States via the QCD sum rules
• Heavy-light hybrid mesons with different spin-parities
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• Electromagnetic properties of the $D{\bar{D}}^{\ast }K$ molecular hexaquark state
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