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Bf0(980)K decays and subleading corrections

Hai-Yang Cheng1 and Kwei-Chou Yang2

  • 1Institute of Physics, Academia Sinica Taipei, Taiwan 115, Republic of China
  • 2Department of Physics, Chung Yuan Christian University Chung-Li, Taiwan 320, Republic of China

Phys. Rev. D 71, 054020 – Published 18 March, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.054020

Abstract

The decay Bf0(980)K is studied within the framework of QCD factorization and the two-quark scenario for f0(980). There are two distinct penguin contributions and their interference depends on the unknown mixing angle θ of strange and nonstrange quark contents of f0(980): destructive for 0<θ<π/2 and constructive for π/2<θ<π. The QCD sum-rule method is applied to evaluate the leading-twist light-cone distribution amplitudes and the scalar decay constant of f0. We conclude that the short-distance approach is not adequate to explain the observed large rates of f0K and f0K¯0. Among many possible subleading corrections, we study and estimate the contributions from the three-parton Fock states of the f0 and from the intrinsic gluon inside the B meson. It is found that the spectator gluon of the B meson may play an eminent role for the enhancement of f0(980)K. We point out that if f0(980) is a four-quark state as widely perceived, there will exist extra diagrams contributing to Bf0(980)K. However, in practice it is difficult to make quantitative predictions based on the four-quark picture for f0(980) as it involves additional nonfactorizable contributions that are difficult to estimate and the calculations of the decay constant and form factors of f0(980) are beyond the conventional quark model.

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