$\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation

Abstract

We predict a new three-body hadronic molecule composed of antikaon $\bar{K}$, anticharm meson $\bar{D}$, and nucleon $N$ with spin/parity $J^P=1/2^{+}$ and isospin $I=1/2$. This state behaves like an explicit pentaquark state because its minimal quark configuration is $uuds\bar{c}$ or $udds\bar{c}$. Owing to the attraction between every pair of two hadrons, in particular the $\bar{K}\bar{D}$ attraction which dynamically generates $D_{s0}(2317{)}^{-}$ and $\bar{K}N$ attraction which dynamically generates $\Lambda (1405)$, the $\bar{K}\bar{D}N$ system is bound, and its eigenenergy is calculated as $3244-17i$ MeV in a nonrelativistic three-body potential model. We discuss properties of this $\bar{K}\bar{D}N$ quasibound state which emerge uniquely in three-body dynamics.

Comments: 12 pages, 5 figures