$X(3872)$ electromagnetic decay in a coupled-channel model

TL;DR

This paper models the $X(3872)$ meson using a coupled-channel Schrödinger equation with both quark-antiquark and meson-meson components, fitting parameters to experimental masses and calculating electromagnetic decay widths.

Contribution

It introduces a multichannel approach combining confinement and decay mechanisms to study the $X(3872)$ and charmonia, providing detailed wave functions and decay width predictions.

Findings

Wave functions of $X(3872)$ and charmonia computed.

Decay widths for $X(3872) o J/ ext{ } ext{ } ext{and} ext{ } o \u03a8(2S) ext{ } ext{ } ext{calculated}.

Model parameters fitted to experimental masses.

Abstract

A multichannel Schr\"odinger equation with both quark-antiquark and meson-meson components, using a harmonic-oscillator potential for $q\bar{q}$ confinement and a delta-shell string-breaking potential for decay, is applied to the axial-vecor $X(3872)$ and lowest vector charmonia. The model parameters are fitted to the experimental values of the masses of the $X(3872)$, $J/\psi$ and $\psi(2S)$. The wave functions of these states are computed and then used to calculate the electromagnetic decay widths of the $X(3872)$ into $J/\psi\gamma$ and $\psi(2S)\gamma$.