Hidden charm hadronic molecule with strangeness Pcs*(4739) as a ΣcDK bound state

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 Sigma(c) DK bound state, which shares the same minimal quark content as P-cs(4459). The Sigma D-c and DK interactions are determined by reproducing P-c(4312) and D-s0(*)(2317) as Sigma D-c and DK molecules, respectively, while the Sigma K-c over bar interaction is constrained by chiral effective theory. We indeed find a three-body bound state by solving the Schrodinger 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(-10.3)(+25) MeV. We further study its strong decays via triangle diagrams and show that its partial decay widths into D Xi(')(c) and D-s(*)Sigma(c) are of a few tens of MeV, with the former being dominant.

Automated summary

This study investigates the existence of a three-body Sigma(c) DK bound state, similar to the first hidden charm pentaquark state discovered by the LHCb Collaboration. By solving the Schrodinger equation, the researchers found an excited hidden charm exotic state with strangeness, P-cs(*)(4739), and analyzed its strong decays, primarily into D Xi(')(c) and D-s(*)Sigma(c) with decay widths in the tens of MeV range.