Revisit the isospin violating decays of X(3872)

In this work, we revisit the isospin violating decays of X(3872) in a coupled-channel effective field theory. In the molecular scheme, the X(3872) is interpreted as the bound state of (D) over bar*D-0(0)/(D) over bar D-0*(0) and D*D--(+)/D-D-D*(+) channels. In a cutoff-independent formalism, we relate the coupling constants of X(3872) with the two channels to the molecular wave function. The isospin violating decays of X(3872) are obtained by two equivalent approaches, which amend some deficiencies about this issue in literature. In the quantum field theory approach, the isospin violating decays arise from the coupling constants of X(3872) to two dimeson channels. In the quantum mechanics approach, the isospin violating is attributed to wave functions at the origin. We illustrate that how to cure the insufficient results in literature. Within the comprehensive analysis, we bridge the isospin violating decays of X(3872) to its inner structure. Our results show that the proportion of the neutral channel in X(3872) is over 80%. As a by-product, we calculate the strong decay width of X(3872) -> (D) over bar D-0(0)pi(0) and radiative one X(3872) -> (D) over bar D-0(0)gamma. The strong decay width and radiative decay width are about 30 keV and 10 keV, respectively, for the binding energy from -300 keV to -50 keV.

Automated summary

In this study, the isospin violating decays of X(3872) were re-examined using a coupled-channel effective field theory, and the results obtained through two equivalent methods corrected some deficiencies in the literature.