Abstract
We study the quasi-two-body decays Brightarrow D K^*(892) rightarrow D Kpi by employing the perturbative QCD approach. The two-meson distribution amplitudes Phi _{Kpi }^{Ptext {-wave}} are adopted to describe the final state interactions of the kaon–pion pair in the resonance region. The resonance line shape for the P-wave Kpi component K^*(892) in the time-like form factor F_{Kpi }(s) is parameterized by the relativistic Breit-Wigner function. For most considered decay modes, the theoretical predictions for their branching ratios are consistent with currently available experimental measurements within errors. We also disscuss some ratios of the branching fractions of the concerned decay processes. More precise data from LHCb and Belle-II are expected to test our predictions.
Highlights
In the framework of the perturbative QCD (PQCD) approach for the quasi-twobody decays, the nonperturbative dynamics associated with the pair of the mesons are absorbed into two-meson distribution amplitudes, the relevant decay amplitude A for the quasi-two-body decays B → D K ∗ → D K π can be written as the convolution [78,79]
Motivated by the abundant experimental data, we studied the contributions of the P-wave resonant states K ∗ to the decays B(s) → D (s) K π and the CKM suppressed decays B(s) → D(s) K π by employing the PQCD factorization approach
The final-state interactions between the K π pair are factorized into the two-meson distribution amplitudes in which the resonant line shape for the resonance K ∗ in the time-like form factor FK π is described by the RBW function
Summary
In the amplitude analyses of B → D K π decays, contributions from the P-wave K π resonant state K ∗(892) were found to be the largest proportion in most cases, and the B → D K ∗ decays have been substantially studied in experiment by quasi-two-body approach [14,15,16,17,18,19,20,21,22,23]. The charmed hadronic B meson decays B → D K ∗ have been studied by using rather different methods in Refs. 35], the authors studied the C P violation and the contribution of the strong kaon–pion interactions in the threebody B → K π π decays [36,37] where the K ∗(892) and. Using a simple model on the basis of the factorization approach, the branching ratios and direct
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