Theoretical study on the contributions of $\omega$ meson to the $X(3872) \to J/\psi\pi^+\pi^-$ and $J/\psi\pi^+\pi^-\pi^0$ decays

TL;DR

This paper provides a theoretical analysis of the $ ho^0$ and $ extomega$ meson contributions to $X(3872)$ decays, successfully reproducing experimental data and predicting branching ratios to guide future experiments.

Contribution

It introduces a detailed theoretical model for $ extomega$ meson contributions to $X(3872)$ decays, aligning with recent measurements and offering predictions for branching fractions.

Findings

Reproduces $ ext{pi}^+ ext{pi}^-$ invariant mass distributions

Evaluates the coupling ratio between $X(3872) o J/ extpsi ho^0$ and $X(3872) o J/ extpsi extomega$

Predicts branching fractions for $X(3872)$ decay channels

Abstract

With the newly measurements of $X(3872) \to J/\psi\pi^+\pi^-$ from LHCb Collaboration, in addition to the dominant contribution from the $\rho^0$ meson, we perform a theoretical study on the contribution of $\omega$ meson in the $X(3872) \to J/\psi\pi^+\pi^-$ and $X(3872)\to J/\psi\pi^+\pi^-\pi^0$ processes. It is found that the recent experimental measurements on the $\pi^+ \pi^-$ invariant mass distributions can be well reproduced, and the ratio of the couplings between $X(3872) \to J/\psi\rho^0$ and $X(3872) \to J/\psi\omega$ is also evaluated. Within the parameters extracted from the $\pi^+ \pi^-$ invariant mass distributions of the $X(3872) \to J/\psi\pi^+\pi^-$ process, the branching fractions of the $X(3872) \to J/\psi \omega$ channel relative to that of the $X(3872) \to J/\psi \pi^+\pi^-\pi^0$ channel and the $\pi^+ \pi^- \pi^0$ invariant mass distributions of the $X(3872) \to J/\psi \pi^+\pi^-\pi^0$ decay are calculated, which gives a hint for the further high-statistic experiment.