Molecular states of $ D^* D^* \bar{K}^*$ nature

TL;DR

This paper predicts the existence of exotic three-body bound states involving D* and K* mesons using a theoretical approach, with specific quantum numbers, binding energies, and decay widths.

Contribution

It introduces a novel application of the Fixed Center Approximation to find exotic molecular states with specific quantum numbers in the D* D* f7 K* system.

Findings

Bound states with isospin 1/2 and negative parity identified.

Binding energies range from 56 MeV to 151 MeV.

Widths of the states range from 80 MeV to 100 MeV.

Abstract

We study the interaction of two $ D^* $ and a $\bar{K}^{*}$ by using the Fixed Center Approximation to the Faddeev equations to search for bound states of the three body system. Since the $ D^* D^* $ interaction is attractive and gives a bound state, and so is the case of the $D^* \bar{K}^{*}$ interaction, where the $J^{P}=0^{+}$ bound state is identified with the $X_0 (2900)$, the $ D^* D^* \bar{K}^{*}$ system leads to manifestly exotic bound states with $ccs$ open quarks. We obtain bound states of isospin $I=1/2$, negative parity and total spin $J=0,1,2$. For $J=0$ we obtain one state, and for $J=1,2$ we obtain two states in each case. The binding energies range from $56$ MeV to $151$ MeV and the widths from $80$ MeV to $100$ MeV.