Estimates for X(4350) Decays from the Effective Lagrangian Approach

TL;DR

This paper investigates the decay properties of X(4350) using an effective Lagrangian approach, suggesting it could be a molecular bound state of D_s^* and D_{s0}^* mesons.

Contribution

It introduces a method to determine coupling constants for X(4350) decays and explores its possible molecular structure as a bound state.

Findings

X(4350) decay data compatible with a D_s^* D_{s0}^* molecular state

Coupling constants determined via the compositeness condition

Model does not exclude the molecular interpretation of X(4350)

Abstract

The strong and electromagnetic decays of $X(4350)$ with quantum numbers $J^P =0^{++}$ and $2^{++}$ have been studied by using the effective Lagrangian approach. The coupling constant between $X(4350)$ and $D_s^{\ast}D_{s0}^{\ast}$ is determined with the help of the compositeness condition which means that $X(4350)$ is a bound state of $D_s^{\ast}D_{s0}^{\ast}$. Other coupling constants applied in the calculation are determined phenomenologically. Our numerical results show that, using the present data within the present model, the possibility that $X(4350)$ is a $D_s^{\ast}D_{s0}^{\ast}$ molecule can not be ruled out.