Pentaquarks with hidden charm as hadroquarkonia

Abstract

We consider hidden charm pentaquarks as hadroquarkonium states in a QCD inspired approach. Pentaquarks arise naturally as bound states of quarkonia excitations and ordinary baryons. The LHCb $P_c(4450)$ pentaquark is interpreted as a ${\psi }^{\prime }$-nucleon bound state with spin-parity $J^P=3/2^{-}$. The partial decay width $\Gamma (P_c(4450)\to J/\psi +N)\approx 11$ MeV is calculated and turned out to be in agreement with the experimental data for $P_c(4450)$. The $P_c(4450)$ pentaquark is predicted to be a member of one of the two almost degenerate hidden-charm baryon octets with spin-parities $J^P=1/2^{-},3/2^{-}$. The masses and decay widths of the octet pentaquarks are calculated. The widths are small and comparable with the width of the $P_c(4450)$ pentaquark, and the masses of the octet pentaquarks satisfy the Gell-Mann-Okubo relation. Interpretation of pentaquarks as loosely bound ${\Sigma }_c{\bar{D}}^{\ast }$ and ${\Sigma }_c^{\ast }{\bar{D}}^{\ast }$ deuteronlike states is also considered. We determine quantum numbers of these bound states and calculate their masses in the one-pion exchange scenario. The hadroquarkonium and molecular approaches to exotic hadrons are compared and the relative advantages and drawbacks of each approach are discussed.

33 pages, 2 figures, 3, tables; Minor changes, 2 references added; Version published in Eur. Phys. J. C

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