$B^0 \to D^0 \bar D^0 K^0$, $B^+ \to D^0 \bar D^0 K^+$ and the scalar $D \bar D$ bound state

TL;DR

This paper investigates the decay of B mesons into D mesons and a kaon, predicting the formation of a scalar D D̄ bound state (X(3720)) through the analysis of invariant mass distributions using a chiral unitary model.

Contribution

It introduces a model-based prediction of the D D̄ bound state in B decays, with no free parameters, and analyzes the invariant mass distribution to identify resonance signatures.

Findings

Predicted the existence of the X(3720) resonance below the D D̄ threshold.

Provided a parameter-free prediction of the resonance production rate.

Suggested the resonance influences the D D̄ invariant mass distribution shape.

Abstract

We study the $B^0$ decay to $D^0 \bar D^0 K^0$ based on the chiral unitary model that generates the X(3720) resonance, and make predictions for the $D^0 \bar D^0$ invariant mass distribution. From the shape of the distribution, the existence of the resonance below threshold could be induced. We also predict the rate of production of the X(3720) resonance to the $D^0 \bar D^0$ mass distribution with no free parameters.