X(3872) as a molecular $D\bar{D}^*$ state in the Bethe-Salpeter equation approach

TL;DR

This paper investigates whether the X(3872) particle can be modeled as a D̄D* molecular bound state using the Bethe-Salpeter equation, providing insights into its structure and decay properties.

Contribution

The study demonstrates the existence of a D̄D* molecular bound state with specific quantum numbers using the Bethe-Salpeter approach, and calculates its decay width.

Findings

D̄D* bound state with J^{PC}=1^{++} exists

Calculated decay width for X(3872) → γ J/ψ

Results support molecular interpretation of X(3872)

Abstract

We discuss the possibility that the X(3872) can be a $D\bar{D}^*$ molecular bound state in the Bethe-Salpeter equation approach in the ladder and instantaneous approximations. We show that the $D\bar{D}^*$ bound state with quantum numbers $J^{PC}=1^{++}$ exists. We also calculate the decay width of $X(3872) \rightarrow \gamma J/\psi$ channel and compare our result with those from previous calculations.