Skip to main content
Log in

Decay constants of pseudoscalar and vector B and D mesons in the light-cone quark model

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

We have studied the decay constants of the pseudoscalar and the vector B and D mesons in the framework of the light-cone quark model. We have applied a variational method to the relativistic Hamiltonian with the Gaussian-type trial wave function to obtain the values of the scale parameter \(\beta\) in different potential models. Furthermore, using the known values of the constituent quark masses of u, d, s , c and b quarks, we have obtained the numerical results for the decay constants. We have also compared our results with the other theoretical calculations and the existing experimental results. The present work predictions have many phenomenological applications in the domain of CP violation and also in the determination of the CKM matrix elements.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. Lubicz, A. Melis, S. Simula, Phys. Rev. D 96, 034524 (2017)

    Article  ADS  Google Scholar 

  2. Particle Data Group Collaboration (C. Patrignani et al.), Chin. Phys. C 40, 100001 (2016)

    Article  ADS  Google Scholar 

  3. M. Blanke, Lectures given at the ESHEP 2016 Summer School in Skeikampen, Norway, June 15-28, 2016, TTP17-017

  4. Z.-G. Wang, Eur. Phys. J. C 75, 427 (2015)

    Article  ADS  Google Scholar 

  5. S.S. Gershtein, M.Y. Khlopov, JETP Lett. 23, 338 (1976)

    ADS  Google Scholar 

  6. P. Gelhausen et al., Phys. Rev. D 88, 014015 (2013)

    Article  ADS  Google Scholar 

  7. S. Narison, Phys. Lett. B 718, 1321 (2013)

    Article  ADS  Google Scholar 

  8. S. Narison, Phys. Lett. B 198, 104 (1987)

    Article  ADS  Google Scholar 

  9. C.A. Dominguez, N. Paver, Phys. Lett. B 197, 423 (1987)

    Article  ADS  Google Scholar 

  10. M.J. Baker, J. Bordes, C.A. Dominguez, J. Pearrocha, K. Schilcher, JHEP 07, 032 (2014)

    Article  ADS  Google Scholar 

  11. W. Lucha, D. Melikhov, S. Simula, Phys. Lett. B 735, 12 (2014)

    Article  ADS  Google Scholar 

  12. W. Lucha, D. Melikhov, S. Simula, Phys. Rev. D 91, 116009 (2015)

    Article  ADS  Google Scholar 

  13. V.S. Mathur, M.T. Yamawaki, Phys. Rev. D 29, 2057 (1984)

    Article  ADS  Google Scholar 

  14. HPQCD Collaboration (H.Na et al.), Phys. Rev. D 86, 034506 (2012)

    Article  Google Scholar 

  15. HPQCD Collaboration (C.T.H. Davies et al.), Phys. Rev. D 82, 114504 (2010)

    Article  Google Scholar 

  16. Fermilab Lattice and MILC Collaboration (A. Bazavov et al.), Phys. Rev. D 85, 114506 (2012)

    Article  Google Scholar 

  17. S. Capstick, S. Godfrey, Phys. Rev. D 41, 2856 (1990)

    Article  ADS  Google Scholar 

  18. D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Lett. B 635, 93 (2006)

    Article  ADS  Google Scholar 

  19. P. Colangelo, G. Nardulli, M. Pietroni, Phys. Rev. D 43, 3002 (1991)

    Article  ADS  Google Scholar 

  20. D.S. Hwang, G.-H. Kim, Phys. Rev. D 55, 6944 (1997)

    Article  ADS  Google Scholar 

  21. C.-W. Hwang, Phys. Rev. D 81, 114024 (2010)

    Article  ADS  Google Scholar 

  22. C.-W. Hwang, Phys. Rev. D 81, 054022 (2010)

    Article  ADS  Google Scholar 

  23. C.-Q. Geng, C.-C. Lih, C. Xia, Eur. Phys. J. C 76, 313 (2016)

    Article  ADS  Google Scholar 

  24. H.-M. Choi, Phys. Rev. D 75, 073016 (2007)

    Article  ADS  Google Scholar 

  25. H.-Y. Cheng, X.-W. Kang, Eur. Phys. J. C 77, 587 (2017)

    Article  ADS  Google Scholar 

  26. A. Martin, Phys. Lett. B 93, 338 (1980)

    Article  ADS  Google Scholar 

  27. K. Hagiwara, A.D. Martin, A.W. Peacock, Z. Phys. C 33, 135 (1986)

    Article  ADS  Google Scholar 

  28. C. Quigg, J.L. Rosner, Phys. Lett. B 71, 153 (1977)

    Article  ADS  Google Scholar 

  29. B.H. Yazarloo, H. Mehraban, Eur. Phys. J. Plus 132, 80 (2017)

    Article  Google Scholar 

  30. S.J. Brodsky, H.C. Pauli, S.S. Pinsky, Phys. Rep. 301, 299 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  31. K.G. Wilson et al., Phys. Rev. D 49, 6720 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  32. P.A.M. Dirac, Rev. Mod. Phys. 21, 392 (1949)

    Article  ADS  Google Scholar 

  33. H.-M. Choi, C.-R. Ji, Phys. Rev. D 59, 074015 (1999)

    Article  ADS  Google Scholar 

  34. S.J. Brodsky, H.C. Pauli, Lect. Notes Phys. 396, 51 (1991)

    Article  ADS  Google Scholar 

  35. S.J. Brodsky, Presented at VII Hadron Physics 2000, Caraguatatuba, Sao Paulo, Brazil, April 10-15, 2000, SLAC-PUB-8627

  36. S.J. Brodsky, Acta Phys. Pol. B 32, 4013 (2001)

    ADS  Google Scholar 

  37. C.-D. Lu, W. Wang, Z.-T. Wei, Phys. Rev. D 76, 014013 (2007)

    Article  ADS  Google Scholar 

  38. D.S. Hwang, C.S. Kim, W. Namgung, Z. Phys. C 69, 107 (1995)

    Google Scholar 

  39. M. Neubert, Phys. Rep. 245, 259 (1994)

    Article  ADS  Google Scholar 

  40. G. Cvetic, C.S. Kim, G.-L. Wang, W. Namgung, Phys. Lett. B 596, 84 (2004)

    Article  ADS  Google Scholar 

  41. G.-L. Wang, Phys. Lett. B 633, 492 (2006)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Harleen Dahiya.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dhiman, N., Dahiya, H. Decay constants of pseudoscalar and vector B and D mesons in the light-cone quark model. Eur. Phys. J. Plus 133, 134 (2018). https://doi.org/10.1140/epjp/i2018-11972-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2018-11972-5

Navigation