Bound state formation in the $DDK$ system

TL;DR

This paper investigates the $DDK$ system using a coupled channel approach, revealing a bound state at 4140 MeV with exotic quantum numbers, interpreted as a molecular state involving the $D^*_{s0}(2317)$ resonance.

Contribution

It introduces a novel coupled channel analysis of the $DDK$ system, predicting a new bound state with unique quantum numbers and specific mass.

Findings

Identifies a bound state at 4140 MeV in the $DDK$ system.

The state has isospin 1/2 and is formed when a $DK$ pair resonates as $D^*_{s0}(2317)$.

The state exhibits exotic quantum numbers: doubly charged, doubly charmed, with single strangeness.

Abstract

We study the $DDK$ system in a coupled channel approach, by including $DD_s\eta$ and $DD_s\pi$, and find that the dynamics involved in the system forms a bound state with isospin $1/2$ and mass $4140$ MeV when one of the $DK$ pair is resonating in isospin 0, forming the $D^*_{s0}(2317)$. The state can be interpreted as a $DD^*_{s0}(2317)$ molecule like state with exotic quantum numbers: doubly charged, doubly charmed, and with single strangeness.