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.

17 pages, 14 tables, 4 figures

References in corpus (21)

• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• The Dynamical Diquark Model: First Numerical Results
• Hidden-charm pentaquarks and their hidden-bottom and $B_c$-like partner states
• Structure and decays of hidden heavy pentaquarks
• How to reveal the nature of three or more pentaquark states?
• Production of $P_c$ states in ${\Lambda }_b$ decays

Cited by in corpus (11)

• 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 $S=-1$
• Triply heavy tetraquark states in a mass-splitting model
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Observation of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\bar{D}}^{(\ast )0}{K}^{-}$ and ${\Lambda }_b^0\to {\Lambda }_c^{+}{D}_s^{\ast -}$ decays
• 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