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

TL;DR

This paper predicts a new three-body hadronic molecule composed of antikaon, anticharm meson, and nucleon, which behaves like a pentaquark state with specific quantum numbers, based on a three-body calculation showing it is bound.

Contribution

The study introduces a novel three-body hadronic molecule with explicit pentaquark configuration, calculated using a nonrelativistic three-body potential model, highlighting unique three-body dynamics.

Findings

The $ar{K}ar{D} N$ system is bound with eigenenergy 3244 - 17 i MeV.

Attraction in $ar{K}ar{D}$ and $ar{K} N$ pairs generates known resonances.

The state exhibits properties unique to three-body interactions.

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 $u u d s \bar{c}$ or $u d d s \bar{c}$. Owing to the attraction between every pair of two hadrons, in particular the $\bar{K}\bar{D}$ attraction which dynamically generates $D_{s 0} (2317)^{-}$ 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 $3244 - 17 i$ 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.