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The European Physical Journal C

, Volume 59, Issue 3, pp 683–689 | Cite as

Contribution of final-state interaction to the branching ratio of BJ/ψ D

  • Xiang LiuEmail author
  • Zheng-Tao Wei
  • Xue-Qian Li
Regular Article - Theoretical Physics

Abstract

To test the validity of perturbative QCD (pQCD) and investigate its range of application, one should look for a suitable process. BJ/ψ D is a promising candidate. The linear momentum of the products is relatively small, so that there may exist a region where exchanged gluons are soft and the perturbative treatment may fail, so that the non-perturbative effect would be significant. We attribute such non-perturbative QCD effects to the long-distance final-state interaction (FSI) which is estimated in this work. We find that the contribution from the FSI to the branching ratio is indeed sizable and may span the rather wide range of 10−6∼10−5 and cover a region where the pQCD prediction is of the same order. A more accurate measurement of its branching ratio may provide important information about the application region of pQCD and help to clarify the picture of inelastic rescattering (i.e. FSI), which is generally believed to play an important role in B decays.

PACS

13.25.Hw 13.75.Lb 

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References

  1. 1.
    CLEO Collaboration, R. Balest et al., Phys. Rev. D 52, 2661 (1995) CrossRefADSGoogle Scholar
  2. 2.
    Belle Collaboration, S.E. Schrenk, in ICHEP 2000: Proceeding, ed. by C.S. Lim, T. Yamanaka (World Scientific, Singapore, 2001) Google Scholar
  3. 3.
    BABAR Collaboration, B. Aubert et al., Phys. Rev. D 67, 032002 (2003) CrossRefADSGoogle Scholar
  4. 4.
    S.J. Brodsky, F.S. Navarra, Phys. Lett. B 411, 152 (1997) CrossRefADSGoogle Scholar
  5. 5.
    C.H. Chang, W.S. Hou, Phys. Rev. D 64, 071501 (2001) CrossRefADSGoogle Scholar
  6. 6.
    C.K. Chua, W.S. Hou, G.G. Wong, Phys. Rev. D 68, 054012 (2003) CrossRefADSGoogle Scholar
  7. 7.
    G. Eilam, M. Ladisa, Y.D. Yang, Phys. Rev. D 65, 037504 (2002) CrossRefADSGoogle Scholar
  8. 8.
    BABAR Collaboration, B. Aubert et al., Phys. Rev. D 71, 091103 (2005) CrossRefADSGoogle Scholar
  9. 9.
    Belle Collaboration, L.M. Zhang et al., Phys. Rev. D 71, 091107 (2005) CrossRefADSGoogle Scholar
  10. 10.
    Y. Li, C.D. Lu, C.F. Qiao, Phys. Rev. D 73, 094006 (2006) CrossRefADSGoogle Scholar
  11. 11.
    X. Liu, X.Q. Zeng, X.Q. Li, Phys. Rev. D 74, 074003 (2006) CrossRefADSGoogle Scholar
  12. 12.
    N. Isgur, K. Maltman, J. Weinstein, T. Barnes, Phys. Rev. Lett. 64, 161 (1990) CrossRefADSGoogle Scholar
  13. 13.
    M.P. Locher, V.E. Markusin, H.Q. Zheng, Report No. PSI-PR-96-13 (unpublished) Google Scholar
  14. 14.
    H. Lipkin, Nucl. Phys. B 244, 147 (1984) CrossRefADSGoogle Scholar
  15. 15.
    H. Lipkin, Phys. Lett. B 179, 278 (1986) CrossRefADSMathSciNetGoogle Scholar
  16. 16.
    H. Lipkin, Nucl. Phys. B 291, 720 (1987) CrossRefADSGoogle Scholar
  17. 17.
    H.J. Lipkin, B.S. Zou, Phys. Rev. D 53, 6693 (1996) CrossRefADSGoogle Scholar
  18. 18.
    P. Geiger, N. Isgur, Phys. Rev. Lett. 67, 1066 (1991) CrossRefADSGoogle Scholar
  19. 19.
    V.V. Anisovich, D.V. Bugg, A.V. Sarantsev, B.S. Zou, Phys. Rev. D 51, R4619 (1995) CrossRefADSGoogle Scholar
  20. 20.
    D.S. Du, X.Q. Li, Z.T. Wei, B.S. Zou, Eur. Phys. J. A 4, 91 (1999) CrossRefGoogle Scholar
  21. 21.
    Y.S. Dai, D.S. Du, X.Q. Li, Z.T. Wei, B.S. Zou, Phys. Rev. D 60, 014014 (1999) CrossRefADSGoogle Scholar
  22. 22.
    S.L. Chen, X.H. Guo, X.Q. Li, G.L. Wang, Commun. Theor. Phys. 40, 563 (2003) Google Scholar
  23. 23.
    C.D. Lu, Y.L. Shen, W. Wang, Phys. Rev. D 73, 034005 (2006) CrossRefADSGoogle Scholar
  24. 24.
    X. Liu, X.Q. Li, Phys. Rev. D 77, 096010 (2008) CrossRefADSGoogle Scholar
  25. 25.
    X. Liu, B. Zhang, S.L. Zhu, Phys. Lett. B 645, 185–188 (2007) CrossRefADSGoogle Scholar
  26. 26.
    X. Liu, B. Zhang, L.L. Shen, S.L. Zhu, Phys. Rev. D 75, 074017 (2007) CrossRefADSGoogle Scholar
  27. 27.
    H.Y. Cheng, C.K. Chua, A. Soni, Phys. Rev. D 71, 014030 (2005) CrossRefADSGoogle Scholar
  28. 28.
    Y. Oh, T. Song, S.H. Lee, Phys. Rev. C 63, 034901 (2001) CrossRefADSGoogle Scholar
  29. 29.
    M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Nucl. Phys. B 591, 313 (2000) CrossRefADSGoogle Scholar
  30. 30.
    C.W. Bauer, D. Pirjol, I.W. Stewart, Phys. Rev. Lett. 87, 201806 (2001) CrossRefADSGoogle Scholar
  31. 31.
    C.H. Chen, C.Q. Geng, Z.T. Wei, Eur. Phys. J. C 46, 367 (2006) CrossRefADSGoogle Scholar
  32. 32.
    W.M. Yao et al., Particle Data Group. J. Phys. G 33, 1 (2006) CrossRefADSGoogle Scholar
  33. 33.
    H.Y. Cheng, C.K. Chua, C.W. Hwang, Phys. Rev. D 69, 074025 (2004) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.School of Physical Science and TechnologyLanzhou UniversityLanzhouChina
  2. 2.Centro de Física Computacional, Departamento de FísicaUniversidade de CoimbraCoimbraPortugal
  3. 3.Department of PhysicsNankai UniversityTianjinChina

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