Exploring the molecular scenario of X(4160)

TL;DR

This paper investigates the decay mechanisms of the meson X(4160) assuming it is a molecular state, calculating decay widths to test its charmonium nature using an effective Lagrangian approach.

Contribution

It provides a detailed calculation of X(4160) decay widths in the molecular scenario, offering predictions to distinguish its structure from charmonium models.

Findings

D* anti-D* decay mode has the largest branching ratio.

Calculated decay widths support the molecular interpretation.

Predictions serve as tests for the charmonium assignment of X(4160).

Abstract

In this work, we investigate the decays of meson $X(4160)$ in the molecular frame. By using an effective lagrangian approach, we calculate the widths of $X(4160)\to J/\psi\phi$, $D^*\bar{D}^*$, $D^*\bar{D}$ and $D\bar{D}$ through the triangle loop mechanism in the molecular scenario. Based on the compositeness condition, the coupling between $X(4160)$ and the $D_s^*\bar{D}_s^*$ molecular state is determined. The other coupling constants used are determined phenomenologically. The calculation of the decay widths shows that the $D^*\bar{D}^*$ decay mode has a larger branching ratio. These predictions can be seen as a test for the charmonium assignment of $X(4160)$.