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

## TL;DR

This study uses the Fixed Center Approximation to Faddeev equations to explore three-body systems involving D, K, and anti-K mesons, predicting a new state near certain thresholds.

## Contribution

It provides the first evidence of a $DKar{K}$-generated state with specific quantum numbers and mass, while finding no such state in the $DKK$ system.

## Key findings

- Identified a $I(J^P)=1/2(0^-)$ state around 2833-2858 MeV
- State is primarily composed of $Df_0(980)$
- No evidence of a state from $DKK$ 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 $DK$ dynamically generates, through its $I=0$ component, the $D^*_{s0}(2317)$ molecule. According to our findings, for $DK\bar{K}$ interaction we have found an evidence of a state $I(J^P)=1/2(0^-)$ just above the $D^*_{s0}(2317)\bar{K}$ threshold and around the $Df_0(980)$ thresholds, with mass about $2833 - 2858$ MeV, made mostly of $Df_0(980)$. On the other hand, no evidence related to a state from the $DKK$ interaction is found. The state found could be seen in the $\pi \pi D$ invariant mass.