Abstract
We extend our recent works on the resonant state [Formula: see text] in the quasi-two-body [Formula: see text] meson decays to the [Formula: see text] cases within the perturbative QCD approach. With the help of the two-meson distribution amplitudes, we calculate the [Formula: see text]-averaged branching fractions and direct [Formula: see text] violations of the quasi-two-body decays [Formula: see text] in this work. We also present the [Formula: see text] invariant mass dependence of the differential branching fraction for the considered decay modes. Our results could be tested by further experiments in the LHCb.
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