Molecular Nature of X(3872) in B 0 → K 0 X(3872) and B + K + X(3872) Decays

Abstract

We investigate the decays of B 0 → K 0 X(3872) and B + → K + X(3872) based on the picture where the X(3872) resonance is strongly coupled to the channel. In addition to the decay mechanism where the X(3872) resonance is formed from the pair hadronization with the short-distance interaction, we have also considered the rescattering diagrams in the long-distance scale, where D and are formed from c and separately. Because of the difference of the mass thresholds of charged and neutral channels, and the rather narrow width of the X(3872) resonance, at the X(3872) mass, the loop functions of and are much different. Taking this difference into account, the ratio of can be naturally obtained. Based on this result, we also evaluate the decay widths of . It is expected that future experimental measurements of these decays can be used to elucidate the nature of the X(3872) resonance.