With the heavy quark symmetry and spin rearrangement scheme, we study the strong decay behavior of the hidden-charm pentaquark states with $J^P={ \frac{ 3}{ 2}}^{ \pm}, { \frac{ 5}{ 2}}^{ \pm}$ assuming they are molecular candidates composed of ${ \bar D}^{ (\ast)}$ and ${ \Sigma}_c^{ (\ast)}$. We obtain several typical ratios of the partial decay widths of the hidden-charm pentaquarks. For the three S-wave $(\bar{ D}\Sigma_c^*)$, $(\bar{ D}^*\Sigma_c)$ and $(\bar{ D}^*\Sigma_c^*)$ molecular pentaquarks with $J^P={ { 3}/{ 2}}^{ -}$, we have obtained the ratio of their $J/\psi N$ decay widths: $\Gamma\left[(\bar D{ \Sigma^{ \ast}_c})\right]:\Gamma\left[({ \bar D}^{ \ast}{ \Sigma}_c)\right]:\Gamma\left[({ \bar D}^{ \ast}{ \Sigma^{ \ast}_c})\right]=2.7:1.0:5.4$, which may be useful to further test the possible molecular assignment of the $P_c$ states.
Categories: hep-ph hep-ex hep-lat nucl-th