$P_c(4380)$ in a constituent quark model

Abstract

The constituent quark model with color-spin hyperfine potential is used to investigate the property of a compact pentaquark configuration with $J^p$=$3/2^{-}$ and isospin=1/2, which is the most likely quantum number of one of the recently observed exotic baryon states at LHCb. Starting from the characterization of the isospin, color, and spin states for the pentaquark configuration, we construct the total wave function composed of the spatial wave function, which we take to be symmetric and in S-wave, and the four orthogonal isospin $\otimes$ color $\otimes$ spin states that satisfy the Pauli principle. We then use the variational method to find a compact stable configuration. While there are compact configurations where the hyperfine potential is more attractive than the sum of $p$ and $J/\psi$ hyperfine potentials, we find that the ground state is the isolated $p$ and $J/\psi$ state. Furthermore, the mass of the excited state lies far above the observed pentaquark state leading us to conclude that the observed states can not be a compact multiquark configuration with $J^p$=$3/2^{-}$.

no figure,10 pages

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Cited by in corpus (22)

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• Exotics: Heavy Pentaquarks and Tetraquarks
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• Production of $P_{cs}(4459)$ from ${\Xi }_b$ decay
• Fully heavy pentaquarks
• Neural Network Study of Hidden-Charm Pentaquark Resonances
• Spectroscopy behavior of fully heavy tetraquarks
• Hidden charm pentaquark states in a diquark model
• Stable heavy pentaquarks in constituent models
• Electromagnetic multipole moments of the $P_c^{+}(4380)$ pentaquark in light-cone QCD
• Where is the stable Pentaquark
• Fully heavy pentaquark states in constituent quark model
• Heavy flavor pentaquarks with four heavy quarks
• Revisiting hidden-charm pentaquarks from QCD sum rules
• Phenomenological predictions for pentaquark masses from fits to baryon masses
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• Heptaquarks with two heavy antiquarks in a simple chromomagnetic model
• The doubly-charmed pentaquark in a quark model with a complete set of harmonic oscillator bases
• Stability of pentaquarks with a two- plus three-body chromoelectric interaction
• Properties of H particle-admixed compact star
• Systematic exploration of triply heavy tetraquarks: spectroscopic and decay characteristics