Heavy $K^*$ mesons with open charm from $KD^{(*)}D^*$ interactions

TL;DR

This paper predicts the existence of two new doubly charmed $K^*$-like mesons, $K_{cc}^*(4309)$ and $K_{cc}^*(4449)$, using three-body interaction models inspired by recent discoveries of exotic states.

Contribution

It introduces a theoretical framework predicting heavy open-charm mesons with exotic configurations using Faddeev equations and fixed-center approximation.

Findings

Predicted two bound doubly charmed $K^*$-like mesons.

Both states are bound by approximately 60 MeV.

Results suggest potential for discovering exotic mesons beyond charm +2.

Abstract

In view of the recent discovery of $T_{cc}$, which can be described as a $DD^*$ molecular state, we perform a study of the $KDD^*$ system, and its extension to studying $KD^*D^*$, where $D^*D^*$ is bound as a spin 1 $T_{cc}$-like state, to search for the possible existence of exotic mesons with the open flavors $ccs$ being part of their quark configuration. Considering the additional attractive interactions present in the $KD$ and $KD^*$ subsystems, where the states $D^*_{s0}(2317)$ and $D_{s1}(2460)$ are generated, we solve the Faddeev equations considering the fixed-center approximation for the mentioned three-body systems and find the existence of two doubly charmed $K^*$-like mesons, $K_{cc}^*(4309)$ and $K_{cc}^*(4449)$, with quantum numbers $I(J^P)=1/2\,(1^-)$. Considering the respective three-body thresholds of the two systems, both $K_{cc}$-states are bound by around $60$ MeV. An experimental confirmation will bring evidence for the existence of a degree of exoticity beyond charm +2.