P-wave contributions to B(s)→ ΨKπ decays in perturbative QCD approach
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摘要:
We study the quasi-two-body decays B(s) → Ψ[K* (892),K*(1410),K*(1680)]→ ΨKπ by employing the perturbative QCD (PQCD) factorization approach,where the charmonia Ψ represents J/Ψ and Ψ(2S).The corresponding decay channels are studied by constructing the kaon-pion distribution amplitude (DA) ΦKPπ,which comprises important final state interactions between the kaon and pion in the resonant region.Relativistic Breit-Wigner formulas are adopted to parameterize the time-like form factor FKπ appearing in the kaon-pion DAs.The SU(3) flavor symmetry breaking effect resulting from the mass difference between the kaon and pion is taken into account,which makes significant contributions to the longitudinal polarizations.The observed branching ratios and the polarization fractions of B(s) → ΨK*(892) → ΨKπ are accommodated by tuning hadronic parameters for the kaon-pion DAs.The PQCD predictions for B(s)-→ Ψ[K*(1410),K*(1680)]→ ΨKπ modes from the same set of parameters can be tested by precise data obtained in the future from LHCb and Belle Ⅱ experiments.