Final state interaction in \( {B^0} \to {D^0}{\overline D^0} \)

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Abstract

In this research, the hadronic decay of \( {B^0} \to {D^0}{\overline D^0} \) is analyzed by using” QCD factorization” (QCDF) method and final state interaction (FSI). First, the \( {B^0} \to {D^0}{\overline D^0} \) decay is calculated via QCDF method and only the annihilation graphs exist in that method. Hence, the FSI must be seriously considered to solve the \( {B^0} \to {D^0}{\overline D^0} \) decay and the ππ, ρπ and ρρ via the exchange of charmed mesones are chosen for the intermediate states. To estimate the B 0 → π +(ρ +)π −(ρ −) decays amplitudes, the QCDF method is again used. These amplitudes are used in the absorptive part of the diagrams. The experimental branching ratio of \( {B^0} \to {D^0}{\overline D^0} \) decay is less than 6 × 10−5 and our results according to the QCDF method and FSI are 0.15 × 10−5 and 5.68 × 10−5 respectively.

Keywords

B-Physics Heavy Quark Physics 
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References

  1. [1]
    H.-Y. Cheng, C.-K. Chua and A. Soni, Final state interactions in hadronic B decays, Phys. Rev. D 71 (2005) 014030 [hep-ph/0409317] [SPIRES].ADSGoogle Scholar
  2. [2]
    Y.-S. Oh, T. Song and S.H. Lee, J/ψ absorption by π and ρ mesons in meson exchange model with anomalous parity interactions, Phys. Rev. C 63 (2001) 034901 [nucl-th/0010064] [SPIRES].ADSGoogle Scholar
  3. [3]
    V.M. Belyaev, V.M. Braun, A. Khodjamirian and R. Ruckl, D * Dπ and B * Bπ couplings in QCD, Phys. Rev. D 51 (1995) 6177 [hep-ph/9410280] [SPIRES].ADSGoogle Scholar
  4. [4]
    J.F. Donoghue, E. Golowich, A.A. Petrov and J.M. Soares, Systematics of soft final state interactions in B decay, Phys. Rev. Lett. 77 (1996) 2178 [hep-ph/9604283] [SPIRES].ADSCrossRefGoogle Scholar
  5. [5]
    Y. Li and J. Hua, Study of pure annihilation decays \( {B_{d,s}} \to {D^0}{\overline D^0} \), arXiv:0711.3282 [SPIRES].
  6. [6]
    M. Beneke, G. Buchalla, M. Neubert and C.T. Sachrajda, QCD factorization for exclusive, non-leptonic B meson decays: general arguments and the case of heavy-light final states, Nucl. Phys. B 591 (2000) 313 [hep-ph/0006124] [SPIRES].ADSCrossRefGoogle Scholar
  7. [7]
    A. Ali and C. Greub, An analysis of two-body non-leptonic B decays involving light mesons in the standard model, Phys. Rev. D 57 (1998) 2996 [hep-ph/9707251] [SPIRES].ADSGoogle Scholar
  8. [8]
    M. Beneke, G. Buchalla, M. Neubert and C.T. Sachrajda, QCD factorization in B → πK, ππ decays and extraction of Wolfenstein parameters, Nucl. Phys. B 606 (2001) 245 [hep-ph/0104110] [SPIRES].ADSCrossRefGoogle Scholar
  9. [9]
    R. Casalbuoni et al., Phenomenology of heavy meson chiral Lagrangians, Phys. Rept. 281 (1997) 145 [hep-ph/9605342] [SPIRES].ADSCrossRefGoogle Scholar
  10. [10]
    T.-M. Yan et al., Heavy quark symmetry and chiral dynamics, Phys. Rev. D 46 (1992) 1148 [Erratum ibid. D 55 (1997) 5851] [SPIRES].ADSGoogle Scholar
  11. [11]
    X. Liu, Z.-T. Wei and X.-Q. Li, Contribution of final state interaction to the branching ratio of B → J/ψD, Eur. Phys. J. C 59 (2009) 683 [arXiv:0805.2804] [SPIRES].ADSCrossRefGoogle Scholar
  12. [12]
    Particle Data Group collaboration, C. Amsler et al., Review of particle physics, Phys. Lett. B 667 (2008) 1 [SPIRES].ADSGoogle Scholar
  13. [13]
    A. Ali, G. Kramer and C.-D. Lu, Experimental tests of factorization in charmless non-leptonic two-body B decays, Phys. Rev. D 58 (1998) 094009 [hep-ph/9804363] [SPIRES].ADSGoogle Scholar
  14. [14]
    M. Beneke and M. Neubert, QCD factorization for B → PP and B → P V decays, Nucl. Phys. B 675 (2003) 333 [hep-ph/0308039] [SPIRES].ADSCrossRefGoogle Scholar
  15. [15]
    Z.-J. Xiao, W.-J. Li, L.-B. Guo and G.-G. Lu, Charmless decays B → PP, PV and effects of new strong and electroweak penguins in topcolor-assisted technicolor model, Eur. Phys. J. C 18 (2001) 681 [hep-ph/0011175] [SPIRES].ADSCrossRefGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  1. 1.Physics DepartmentSemnan UniversitySemnanIran

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