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

Abstract

A multichannel Schrödinger 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 $\psi (2S)\gamma$.

Comments: 6 pages, 2 figures (3 plots), 3 tables, appolb style, Talk given by M. Cardoso at the "EEF70" Workshop on Unquenched Hadron Spectroscopy: Non-Perturbative Models and Methods of QCD, Coimbra, 1-5 Sept. 2014, Conference no. C14-09-01.4