Pentaquark components in low-lying baryon resonances

Abstract

We study pentaquark states of both light $q^4\bar{q}$ and hidden heavy $q^{3}Q\bar{Q}$ (q = u,d,s quark in SU(3) flavor symmetry; Q = c, b quark) systems with a general group theory approach in the constituent quark model, and the spectrum of light baryon resonances in the ansatz that the $l=1$ baryon states may consist of the $q^3$ as well as $q^4\bar{q}$ pentaquark component. The model is fitted to ground state baryons and light baryon resonances which are believed to be normal three-quark states. The work reveals that the $N(1535)1/2^{-}$ and $N(1520)3/2^{-}$ may consist of a large $q^4\bar{q}$ component while the $N(1895)1/2^{-}$ and $N(1875)3/2^{-}$ are respectively their partners, and the $N^{+}(1685)$ might be a $q^4\bar{q}$ state. By the way, a new set of color-spin-flavor-spatial wave function for $q^{3}Q\bar{Q}$ systems in the compact pentaquark picture are constructed systematically for studying hidden charm pentaquark states.

arXiv comment9 pages, 14 tables

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Cited by in corpus (9)

• $P_c$ Resonances in the Compact Pentaquark Picture
• Mass spectrum of $1^{--}$ heavy quarkonium
• Study of light tetraquark spectroscopy
• Determination of parameters of a potential model for tetraquark study by studying all S-wave mesons
• A possible interpretation of $\Lambda$ baryon spectrum with pentaquark components
• Helicity amplitudes of $N(1520)$ and $N(1535)$ including pentaquark components
• Estimation of coupling constants for D-meson, charmed, and light baryons in effective Lagrangian approach and quark model
• Study of $N(1440)$ structure via ${\gamma }^{\ast }p\to N(1440)$ transition
• Investigation of $\Delta (1232)$ resonance substructure in $p{\gamma }^{\ast }\to \Delta (1232)$ process through helicity amplitudes