Skip to main content
SpringerLink
Log in

Study of Heavy-Light Mesons Properties Via the Variational Method for Cornell Interaction

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract

Using the variational method we calculate mesonic wave function. We report masses and decay constants for heavy-light mesons. Leptonic decay widths of charmed and beauty mesons are also calculated. The obtained results are compared with the available experimental and theoretical data.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Beringer J. et al.: Review of Particle. Physics. Phys. Rev. D 86, 010001 (2012)

    Article  ADS  Google Scholar 

  2. Eisenstein B.I. et al.: (CLEO Collab.): Precision measurement of \({B(D^{+} \to \mu+v)}\) and the pseudoscalar decay constant \({f_{D+}}\) . Phys. Rev. D 78, 052003 (2008)

    Article  ADS  Google Scholar 

  3. Artuso M. et al.: (CLEO Collab.): Improved measurement of \({B(D^{+} \rightarrow \mu + v)}\) and the pseudoscalar decay constant \({f_{D+}}\). Phys. Rev. Lett. 95, 251801 (2005)

    Article  ADS  Google Scholar 

  4. Huang, G. (BESIII Collab.): Recent Results from BESIII. arXiv:1209.4813

  5. delAmo Sanchez P. et al.: Measurement of the absolute branching fractions for \({{D_{\bar{s}}} \to {l^{-}} {{\bar{V}}_{i}}}\) and extraction of the decay constant \({f_{D_{s}}}\) . Phys. Rev. D 82, 091103 (2010)

    Article  ADS  Google Scholar 

  6. Ikado K. et al.: Evidence for \({B^{-} \to \tau{^{-} \bar{V}_{\tau}}}\) with a hadronic tagging method using the full data sample of belle. Phys. Rev. Lett. 110, 131801 (2013)

    Article  ADS  Google Scholar 

  7. Gershtein, S.S., Khlopov, M.Yu., On the lepton decays of heavy pseudoscalar mesons. Pis’ma v ZhETF: 23, 374–377 (1976) [English translation: JETP Lett. 23 (1976) 338–340]

  8. Khlopov, M.Yu.: Effects of symmetry breaking in semileptonic decays of mesons. Yadernaya Fizika 28, 1134–1137 (1978) [English translation: Sov. J. Nucl. Phys. 28 (1978) 583–584]

  9. Chang C.H., Lü C.D., Wang G.L., Zong H.S.: Pure leptonic decays of the \({B_{c}}\) meson and their radiative corrections. Phys. Rev. D 60, 114013 (1999)

    Article  ADS  Google Scholar 

  10. Abou-Salem L.I.: A systematic study on nonrelativistic quark–antiquark interactions. Inter. J. Mod. Phys. A 20, 4113 (2005)

    Article  ADS  Google Scholar 

  11. Ebert D., Faustov R.N., Galkin V.O.: Relativistic treatment of the decay constants of light and heavy mesons. Phys. Lett. B 635, 93 (2006)

    Article  ADS  Google Scholar 

  12. Ebert D., Faustov R.N., Galkin V.O.: Spectroscopy and regge trajectories of heavy quarkonia and \({B_{c}}\) mesons. Eur. Phys. J. C. 71, 1825 (2011)

    Article  ADS  Google Scholar 

  13. Rathaud, D.P., Rai, A.K.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 630

  14. Pathak, D., Mishra, A.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 632

  15. Bhatnagar, S., Mahecha, J.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 642

  16. Negash, H., Bhatnagar, S.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 644

  17. Bhaghyesh, Vijaya Kumar, K.B., Monteiro, A.P.: Proceedings of the DAE Symposium on Nuclear Physics, vol. 59, p 652. Banaras Hindu University, Varanasi, India 2014

  18. Marfatia, Z., Rai, A.K.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 654

  19. Bhatt P., Patel, S., Vinodkumar, P.C.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 662

  20. Patel, S., Bhatnagar, S., Vinodkumar, P.C.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 666

  21. Kher, V., Devlani, N., Rai, A.K.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 670

  22. Kudryashov, V.V., Reshetnyak, V.I.: Nonlinear dynamics and applications, Proceedings of the 14th annual seminar NPCS’2007, Minsk, Belarus, vol. 14 (May-2007) p 81

  23. Kudryashov, V.V., Reshetnyak, V.I.: Nonlinear dynamics and applications. Proceedings of the 15th annual seminar NPCS’2008, Minsk, Belarus, vol. 15 (May-2008), pp. 77-80

  24. Eichten E., Gottfried K., Kinoshita T., Kogut J., Lane K.D., Yan T.-M.: Spectrum of charmed quark-antiquark bound States. Phys. Rev. Lett. 34, 369 (1975)

    Article  ADS  Google Scholar 

  25. Lengyel V., Fekete Y., Haysak I., Shpenik A.: Calculation of hyperfine splitting in mesons using configuration interaction approach. EPJC 21, 355–359 (2001)

    Article  ADS  Google Scholar 

  26. Lucha W., Schöberl F.F., Gromes D.: Bound states of quarks. Phys. Rep. (Rev. Sect. Phys. Lett.) 200, 127–240 (1991)

    ADS  Google Scholar 

  27. Pathak K.K., Choudhury D.K.: Open flavour charmed mesons in a quantum chromodynamics potential model. Pramana J Phys. 79, 1385 (2012)

    Article  ADS  Google Scholar 

  28. Olive K.A. et al.: (Particle Data Group): Review of particle physics. Chin. Phys. C 38, 090001 (2014)

    Article  ADS  Google Scholar 

  29. Zeng J., Orden J.W.V., Roberts W.: Heavy mesons in a relativistic model. Phys. Rev. D 52, 5229 (1995)

    Article  ADS  Google Scholar 

  30. Wang G.L.: Decay constants of P-wave mesons. Phys. Lett. B 650, 15–21 (2007)

    Article  ADS  Google Scholar 

  31. Jain V.: B physics at the D\({\emptyset}\) experiment at Fermilab. Mod. Phys. Lett. A 20, 629 (2005)

    Article  ADS  Google Scholar 

  32. Yang M.Z.: Wave functions and decay constants of B and D mesons in the relativistic potential model. Eur. Phys. J. C 72, 1880 (2012)

    Article  ADS  Google Scholar 

  33. Aubin C. et al.: Charmed meson decay constants in three-flavor lattice QCD. Phys. Rev. Lett. 95, 122002 (2005)

    Article  ADS  Google Scholar 

  34. Wang Z.G., Yang W.M., Wan S.L.: Decay constants of the pseudoscalar mesons in the framework of the coupled Schwinger-Dyson equation and Bethe-Salpeter equation. Nucl. Phys. A 744, 156 (2004)

    Article  ADS  Google Scholar 

  35. Wang Z.G.: Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules. Eur. Phys. J. C 75, 427 (2015)

    Article  ADS  Google Scholar 

  36. Wang Z.G.: Analysis of the decay constants of the heavy pseudoscalar mesons with QCD sum rules. JHEP 1310, 208 (2013)

    Article  ADS  Google Scholar 

  37. Vinodkumar, P.C., Shah, M., Patel, B.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 638.

  38. Shah, M., Patel, B., Vinodkumar, P.C.: Proceedings of the DAE Symposium on Nuclear Physics, Banaras Hindu University, Varanasi, India, vol. 59 (Dec.-2014) p 650.

  39. Patel B., Vinodkumar P.C.: Decay properties of \({D}\) and \({D_{s}}\) , mesons in coulomb plus power potential (\({CPP_{v}}\)). Chin. Phys. C 34, 1497 (2010)

    Article  ADS  Google Scholar 

  40. Geng L.S., Altenbuchinger M., Weise W.: Light quark mass dependence of the \({D}\) and Ds decay constants. Phys. Lett. B 696, 390 (2011)

    Article  ADS  Google Scholar 

  41. Corwin, L.A.: Leptonic Decays of the Charged B Meson, The Ohio State University SLAC-R-914 (2008)

  42. Altmannshofer W., Buras A.J., Goril S., Paradisi P., Straub D.M.: Anatomy and phenomenology of FCNC and CPV effects in SUSY theories. Nucl. Phys. B 830, 17–94 (2010)

    Article  ADS  MATH  Google Scholar 

  43. Pathak K.K., Choudhury D.K., Bordoloi N.S.: Leptonic decay of Heavy-light mesons in a QCD potential model. Int. J. Mod. Phys. A 28, 1350010 (2013)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran

    H. Hassanabadi & S. Rahmani

  2. Department of Basic Sciences, Islamic Azad University North Tehran Branch, Tehran, Iran

    M. Ghafourian

Authors
  1. H. Hassanabadi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Ghafourian
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Rahmani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Ghafourian.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hassanabadi, H., Ghafourian, M. & Rahmani, S. Study of Heavy-Light Mesons Properties Via the Variational Method for Cornell Interaction. Few-Body Syst 57, 249–254 (2016). https://doi.org/10.1007/s00601-015-1040-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-015-1040-6

Keywords

Search

Navigation