Hidden charm hadronic molecule with strangeness Pcs*(4739) as a ΣcD¯K¯ bound state

Abstract

Motivated by the recent discovery of the first hidden charm pentaquark state with strangeness ${P}_{cs}(4459)$ by the LHCb Collaboration, we study the likely existence of a three-body ${\mathrm{\ensuremath{\Sigma}}}_{c}\overline{D}\overline{K}$ bound state, which shares the same minimal quark content as ${P}_{cs}(4459)$. The ${\mathrm{\ensuremath{\Sigma}}}_{c}\overline{D}$ and $DK$ interactions are determined by reproducing ${P}_{c}(4312)$ and ${D}_{s0}^{*}(2317)$ as ${\mathrm{\ensuremath{\Sigma}}}_{c}\overline{D}$ and $\overline{D}\overline{K}$ molecules, respectively, while the ${\mathrm{\ensuremath{\Sigma}}}_{c}\overline{K}$ interaction is constrained by chiral effective theory. We indeed find a three-body bound state by solving the Schr\"odinger equation using the Gaussian expansion method, which can be viewed as an excited hidden charm exotic state with strangeness, ${P}_{cs}^{*}(4739)$, with $I({J}^{P})=1(1/{2}^{+})$ and a binding energy of ${77.8}_{\ensuremath{-}10.3}^{+25}\text{ }\text{ }\mathrm{MeV}$. We further study its strong decays via triangle diagrams and show that its partial decay widths into $D{\mathrm{\ensuremath{\Xi}}}_{c}^{\ensuremath{'}}$ and ${D}_{s}^{*}{\mathrm{\ensuremath{\Sigma}}}_{c}$ are of a few tens of MeV, with the former being dominant.