Quasi-two-body decays in perturbative QCD* *Supported by the National Natural Science Foundation of China (11347030), the Program of Science and Technology Innovation Talents in Universities of Henan Province, China (14HASTIT037), and the Natural Science Foundation of Henan Province, China (232300420116)

Abstract

In this work, we investigate the quasi-two-body decays with using the perturbative QCD (PQCD) approach. The description of final state interactions of the pair is achieved through the two-meson distribution amplitudes (DAs), which are normalized to the time-like form factor. The PQCD predictions on the branching ratios of the quasi-two-body decays show an obvious hierarchy: and . From the invariant mass -dependence of the decay spectrum for each channel, one can find that the branching fraction is concentrated in a narrow region around the pole mass. Thus, one can obtain the branching ratios for the corresponding two-body decays under the narrow-width approximation. We find that the branching ratios of the decays are consistent with the previous PQCD calculations within errors. These predictions will be tested in future experiments.