Strong and radiative decays of X(3872) as a hadronic molecule with a negative parity

TL;DR

This paper models X(3872) as a hadronic molecule with negative parity, successfully explaining existing data and predicting decay widths, providing insights into its structure through phenomenological analysis.

Contribution

It introduces a novel hadronic molecule model for X(3872) with negative parity and offers detailed predictions for its decay processes, enhancing understanding of its nature.

Findings

Model explains isospin zero component data well

Predicts partial widths for radiative and strong decays

Suggests decay ratio measurements can reveal X(3872)'s nature

Abstract

Properties of X(3872) are studied by regarding it as a $DD^{\ast}$ hadronic molecule with $J^{PC} = 2^{-+}$ in the phenomenological Lagrangian approach. We find that our model with about 97.6% isospin zero component explains the existing data nicely, for example, the ratio $\mathcal{B}(X(3872) \to J/\psi\pi^+\pi^-\pi^0)/\mathcal{B}(X(3872) \to J/\psi\pi^+\pi^-)$. We predict the partial widths of the radiative decays of $X(3872) \to \gamma J/\psi$, $\gamma \psi(2S) $ and the strong decays of $X(3872) \to J/\psi \pi^+ \pi^-$, $J/\psi \pi^+\pi^-\pi^0$ as well as $X(3872) \to \chi_{cJ}\pi^0$. Our analysis shows that the measurement of the ratio $\mathcal{B}(X(3872) \to \chi_{c0}\pi^0)/\mathcal{B}(X(3872) \to \chi_{c1}\pi^0)$ may signal the nature of X(3872).