Some decay properties of hidden-charm pentaquarks as baryon-meson molecules

It is pointed out that the previously suggested interpretation of the hidden-charm pentaquarks Pc(4312), Pc(4440), and Pc(4457) as molecular bound states of ςcD and ςcD∗ baryon-meson pairs gives rise to specific relations for their decays. In particular, the heavy-quark spin symmetry predicts ratios of rates of decays of each of the molecules to J/ψp and to ηcp as well as of the decays to ΛcD and to ΛcD∗. Experimental studies of these relations would thus provide an indicative probe of the molecular structure.