Hidden charm pentaquark with strangeness $P_{cs}^*(4739)$ as a $\Sigma_{c}\bar{D}\bar{K}$ bound state

TL;DR

This paper predicts a new hidden charm pentaquark state with strangeness as a three-body bound state of $\, ext{Sigma}_c$, $ar{D}$, and $ar{K}$, supported by theoretical modeling and calculations.

Contribution

It introduces the first prediction of a $ ext{Sigma}_c ar{D} ar{K}$ bound state as an excited pentaquark with specific quantum numbers, based on interaction models and Schrödinger equation solutions.

Findings

Predicted a $ ext{P}_{cs}^*(4739)$ bound state with 77.8 MeV binding energy.

Identified dominant decay mode as $D o ext{D} ext{Xi}_c'$.

Supported the state with decay width estimates of tens of MeV.

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 $\Sigma_{c}\bar{D}\bar{K}$ bound state, which shares the same minimal quark content as $P_{cs}(4459)$. The $\Sigma_{c}\bar{D}$ and $DK$ interactions are determined by reproducing $P_c(4312)$ and $D_{s0}^*(2317)$ as $\Sigma_c\bar{D}$ and $\bar{D}\bar{K}$ molecules, respectively, while the $\Sigma_c\bar{K}$ 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 pentaquark state with strangeness, $P_{cs}^*(4739)$, with $I(J^P)=1(1/2^+)$ and a binding energy of $77.8^{+25}_{-10.3}$ 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 ten's MeV, with the former being dominant.