Properties 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, analyzing its decay properties and suggesting experimental ratios to confirm its molecular nature.

Contribution

It introduces a phenomenological Lagrangian approach to describe X(3872) as a $DD^{ ext{*}}$ molecule with $J^{PC} = 2^{-+}$, providing decay predictions and insights into its isospin composition.

Findings

Model explains existing decay data well

Predicts partial decay widths for X(3872)

Suggests decay ratio as a test for molecular nature

Abstract

We discuss the possible interpretation of X(3872) as a $DD^{\ast}$ hadronic molecule with $J^{PC} = 2^{-+}$. Using the phenomenological Lagrangian approach, we studied its radiative and strong decay properties. We find that our model with about 97.6% isospin zero component explains the existing data nicely. We predict the partial widths of the radiative and strong decays of X(3872) and show 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).