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

Abstract

It is pointed out that the previously suggested interpretation of the hidden-charm pentaquarks $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ as molecular bound states of ${\Sigma }_c\bar{D}$ and ${\Sigma }_c{\bar{D}}^{\ast }$ 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 $J/\psi p$ and to ${\eta }_{c}p$ as well as of the decays to ${\Lambda }_c\bar{D}$ and to ${\Lambda }_c{\bar{D}}^{\ast }$. Experimental studies of these relations would thus provide an indicative probe of the molecular structure.

Comments: 8 pages, 1 figure