Spectrum of the $uudc\bar{c}$ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction

Abstract

We study a few of the lowest states of the pentaquark $uudc\overline{c}$, of positive and negative parity, in a constituent quark model with an SU(4) flavor-spin hyperfine interaction. For positive parity we introduce space wave functions of appropriate permutation symmetry with one unit of orbital angular momentum in the internal motion of the four-quark subsystem or an orbital excitation between the antiquark and the four quark subsystem which remains in the ground state. We show that the lowest positive parity states $1/2^{+},3/2^{+}$ are provided by the first alternative and are located below the $1/2^{-}$ and the $1/2^{+}$ states with all quarks in the ground state. We compare our results with the LHCb three narrow pentaquark structures reported in 2019.

12 pages, 5 tables, accepted for publication in European Physical Journal C

References in corpus (12)

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• $P_c(4457{)}^{+}$, $P_c(4440{)}^{+}$, and $P_c(4312{)}^{+}$: molecules or compact pentaquarks?
• Hidden charm pentaquarks: mass spectrum, magnetic moments, and photocouplings
• Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$

Cited by in corpus (20)

• Pentaquark and Tetraquark states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Revisiting the nature of the $P_c$ pentaquarks
• Probing hidden-charm decay properties of $P_c$ states in a molecular scenario
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Search for doubly-heavy dibaryons in the quark-delocalization color-screening model
• Decay properties of $P_c$ states through the Fierz rearrangement
• Hidden-charm pentaquark states in a mass splitting model
• Prompt production of the hidden charm pentaquarks in the LHC
• Exploring the spectrum of the hidden charm strange pentaquark in an SU(4) flavor-spin model
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Molecular pentaquark states with open charm and bottom flavors
• Relations between strong decay widths of the $P_c$ pentaquarks in the SU(4) flavor-spin model
• Study of the hidden charm pentaquarks ${\Lambda }_{c\bar{c}}$ above $4$ GeV
• Hidden bottom pentaquark in the SU(5) version of the flavor-spin model
• Hadronic molecules and multiquark states
• $P_c(4312{)}^{+}$ and $P_c(4337{)}^{+}$ as interfering ${\Sigma }_c\bar{D}$ and ${\Lambda }_c{\bar{D}}^{\ast }$ threshold cusps