Study of the $DK K$ and $DK \bar{K}$ systems

TL;DR

This study investigates three-body systems involving D, K, and b0K particles using the Fixed Center Approximation, predicting a possible new state in the D K b0K system with specific quantum numbers and mass.

Contribution

It introduces a novel application of the Fixed Center Approximation to the DKK and DKb0K systems, predicting a new state with specific properties.

Findings

Evidence of a state with I(J^P)=1/2(0^-) and mass 2833-2858 MeV in DKb0K system.

The state is dominated by a Df_0(980) component.

No clear state evidence from the DKK interaction.

Abstract

Using the Fixed Center Approximation to Faddeev equations we have investigated the $DKK$ and $DK\bar{K}$ three-body systems, considering that the $D^*_{s0}(2317)$ acts as the heavy cluster in both cases, generated from the $DK$ interaction in isospin 0. For the $DK\bar{K}$ system we have found evidence of a state with $I(J^P)=1/2(0^-)$ and mass about $2833 - 2858$ MeV, above the threshold of $D^*_{s0}(2317)\bar{K}$. Our results indicate that this state is dominated by a $Df_0(980)$ component, then it could be searched for in the $\pi \pi D$ invariant mass. On the other hand, no clear evidence related to a state from the $DKK$ interaction is found.