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Determination of f 0σ mixing angle through \(B_{s}^{0} \to J/\varPsi\ f_{0}(980)(\sigma)\) decays

  • Jing-Wu LiEmail author
  • Dong-Sheng Du
  • Cai-Dian Lü
Regular Article - Theoretical Physics

Abstract

We study \(B_{s}^{0} \to J/\psi f_{0}(980)\) decays, the quark content of f 0(980) and the mixing angle of f 0(980) and σ(600). We calculate not only the factorizable contribution in the QCD factorization scheme but also the nonfactorizable hard spectator corrections in QCDF and pQCD approach. We get a result consistent with the experimental data of \(B_{s}^{0} \to J/\psi f_{0}(980)\) and predict the branching ratio of \(B_{s}^{0}\)J/ψσ. We suggest two ways to determine f 0σ mixing angle θ. Using the experimental measured branching ratio of \(B_{s}^{0} \to J/\psi f_{0}(980)\), we can get the f 0σ mixing angle θ with some theoretical uncertainties. We suggest another way to determine the f 0σ mixing angle θ using both experimental measured decay branching ratios \(B_{s}^{0} \to J/\psi f_{0}(980) (\sigma)\) to avoid theoretical uncertainties.

Keywords

Scalar Meson Transition Form Factor Vertex Correction Wilson Coefficient Angular Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This work is supported by the National Science Foundation of China under the grant No. 10975077, 10735080, 11075168 and 11047014, and by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

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Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2012

Authors and Affiliations

  1. 1.Department of PhysicsJiang Su Normal UniversityXuZhouChina
  2. 2.Institute of High Energy PhysicsBeijingChina

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