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In a previous work we have studied the isospin 1/2 lowest positive andnegative parity states of the pentaquark $uudc\overline{c}$, in a constituentquark model with a linear confinement and an SU(4) flavor-spin hyperfineinteraction 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 theprevious 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 $\Lambda_c{\bar D}^*$ and $\Lambda_c \bar D$. Our predictions are based on theSU(4)$\times$SU(2) structure of compact pentaquarks.

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