Selected strong decays of pentaquark State $P_c(4312)$ in a chiral constituent quark model

Abstract

The newly confirmed pentaquark state $P_c(4312)$ has been treated as a weakly bound $({\Sigma }_c\bar{D})$ state by a well-established chiral constituent quark model and by a dynamical calculation on quark degrees of freedom where the quark exchange effect is accounted for. The obtained mass $4308$ MeV agrees with data. In this work, the selected strong decays of the $P_c(4312)$ state are studied with the obtained wave function. It is shown that the width of the ${\Lambda }_c{\bar{D}}^{\ast }$ decay is overwhelmed and the branching ratios of the $p{\eta }_c$ and $pJ/\psi$ decays are both less than 1 percentage.

Comments: 13 pages, 2 figures, 3 tables