The $e^+e^-\to J/\psi D \bar D$, $J/\psi D\bar D^*$ reactions with dynamically generated resonances

TL;DR

This paper investigates the peaks observed in $D\bar D$ and $D\bar D^*$ production in recent Belle experiments, proposing that these peaks are due to known or predicted resonances rather than new states.

Contribution

The study demonstrates that the observed $D\bar D$ peak can be explained by the scalar X(3700) resonance, challenging the interpretation of the $D\bar D^*$ peak as caused by X(3872).

Findings

The $D\bar D^*$ peak is unlikely due to X(3872).

The $D\bar D$ peak can be explained by the X(3700) resonance.

Resonance-based explanation aligns with experimental data.

Abstract

In two recent reactions by Belle producing $D\bar D$ and $D\bar D^*$ meson pairs, peaks above threshold have been measured in the differential cross sections, possibly indicating new resonances in these channels. We want to study such reactions from the point of view that the $D$ meson pairs are produced from already known or predicted resonances below threshold. Our study shows that the peak in the $D\bar D^*$ production is not likely to be caused by the X(3872) resonance, but the peak seen in $D\bar D$ invariant mass can be well described if the $D\bar D$ pair comes from the already predicted scalar X(3700) resonance.