Regular Article - Theoretical Physics
Study of the quasi-two-body decays with perturbative QCD approach
School of Physical Science and Technology, Southwest University, Chongqing, 400715, China
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Accepted: 13 April 2019
Published online: 29 April 2019
In this note, we study the contributions from the S-wave resonances, and , to the decay by introducing the S-wave distribution amplitudes within the framework of perturbative QCD approach. Both the resonant and the non-resonant contributions are contained in the scalar form factor in the S-wave distribution amplitude . Since the vector charmonium meson is a S–D wave mixed state, we calculate the branching ratios of S-wave and D-wave, respectively, and the results indicate that is the main contribution of the considered decay, and the branching ratio of the mode is in good agreement with the experimental data. We also take the S–D mixed effect into the decay. Our calculations show that the branching ratio of can be at the order of , which can be tested by the running LHCb experiments.
© The Author(s), 2019