Hidden-charm pentaquark states in a mass splitting model

Abstract

Assuming that the $P_c(4312{)}^{+}$ is a $I(J^P)=\frac{1}{2}({\frac{3}{2}}^{-})$ compact pentaquark, we study the mass spectrum of its S-wave hidden-charm partner states in a color-magnetic interaction model. Combining the information from their decays obtained in a simple rearrangement scheme, one finds that the quantum numbers of $P_c(4457{)}^{+}$, $P_c(4440{)}^{+}$, and $P_c(4337{)}^{+}$ can be assigned to be $I(J^P)=\frac{1}{2}({\frac{3}{2}}^{-})$, $\frac{1}{2}({\frac{1}{2}}^{-})$, and $\frac{1}{2}({\frac{1}{2}}^{-})$, respectively, while both $P_{cs}(4338{)}^0$ and $P_{cs}(4459{)}^0$ can be interpreted as $I(J^P)=0({\frac{1}{2}}^{-})$ $udsc\bar{c}$ compact states. Based on the numerical results, we also find narrow pentaquarks in $ssnc\bar{c}$ ($n=u,d$) and $sssc\bar{c}$ systems. The decay properties of the studied pentaquarks and the searching channels for them can be tested in future experiments.

arXiv comment17 pages, 14 tables, 4 figures

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• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• Doubly heavy tetraquark states in a mass splitting model
• Production mechanism of hidden-charm pentaquark states $P_{c\bar{c}s}$ with strangeness $S=-1$
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• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
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• Radiative decay and axial-vector decay behaviors of octet pentaquark states
• Doubly-charmed pentaquark states in a mass splitting model
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Assessing the validity of the Born-Oppenheimer approximation in potential models for doubly heavy hadrons