Relations between strong decay widths of the $P_c$ pentaquarks in the SU(4) flavor-spin model

Abstract

In a previous work we have studied the isospin 1/2 lowest positive and negative parity states of the pentaquark $uudc\overline{c}$, in a constituent quark model with a linear confinement and an SU(4) flavor-spin hyperfine interaction and we compared the results with the $P_c^{+}(4312)$, $P_c^{+}(4440)$ and $P_c^{+}(4457)$ pentaquarks observed at LHCb in 2019. Here we extend the previous work by calculating ratios of decay rates of the $P_c$ pentaquarks to $J/\Psi$ and ${\eta }_c$ and similarly the ratio of decay rates to ${\Lambda }_c{\bar{D}}^{\ast }$ and ${\Lambda }_c\bar{D}$. Our predictions are based on the SU(4)$\times$SU(2) structure of compact pentaquarks.

16 pages, minor changes, it matches the published version

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Cited by in corpus (7)

• Compact hidden charm pentaquark states and QCD isomers
• Investigation of hidden-charm double strange pentaquark candidate $P_{css}$ via its mass and strong decays
• Strong decays of $P_{\psi }^N(4312{)}^{+}$ to $J/\psi ({\eta }_c)p$ and ${\bar{D}}^{(\ast )}{\Lambda }_c$ within the Bethe-Salpeter framework
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Models and Potentials in Hadron Spectroscopy
• Strong decays of $P_{\psi }^N(4440{)}^{+}$ and $P_{\psi }^N(4457{)}^{+}$ within the Bethe-Salpeter framework
• Radiative decay and axial-vector decay behaviors of octet pentaquark states