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Isgur–Wise function in a quantum chromodynamics-inspired potential model with confinement as parent in the variationally improved perturbation theory

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Abstract

We have recently reported the calculation of slope and curvature of Isgur–Wise function based on variationally improved perturbation theory (VIPT) in a quantum chromodynamics (QCD)-inspired potential model. In that work, Coulombic potential was taken as the parent while the linear one as the perturbation. In this work, we choose the linear one as the parent with Coulombic one as the perturbation and see the consequences.

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References

  1. N Isgur and M B Wise, Phys. Lett. B232, 113 (1989); Phys. Lett. B237, 527 (1990)

  2. D K Choudhury, P Das, D D Goswami and J N Sharma, Pramana – J. Phys. 44, 519 (1995)

    Article  ADS  Google Scholar 

  3. D K Choudhury and N S Bordoloi, Int. J. Mod. Phys. A15, 3667 (2000)

    ADS  Google Scholar 

  4. A D Rujula, H Georgi and S L Glashow, Phys. Rev. D12, 147 (1975)

    ADS  Google Scholar 

  5. D K Choudhury and N S Bordoloi, Mod. Phys. Lett. A17(29), 1909 (2002)

    ADS  Google Scholar 

  6. D K Choudhury and N S Bordoloi, Mod. Phys. Lett. A26, 443 (2009)

    ADS  Google Scholar 

  7. B J Hazarika and D K Choudhury, arXiv:hep-ph/1102.4970, Accepted in Bra. J. Phys. (2011)

  8. B J Hazarika, K K Pathak and D K Choudhury, arXiv:hep-ph/1012.4377

  9. S K You, K J Jeon, C K Kim and K Nahm, Eur. J. Phys. 19, 179 (1998)

    Article  MathSciNet  Google Scholar 

  10. I J R Aitchison and J J Dudek, Eur. J. Phys. 23, 605 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  11. F M Fernandez, Eur. J. Phys. 24, 289 (2003)

    Article  MATH  Google Scholar 

  12. B J Hazarika and D K Choudhury, Pramana – J. Phys. 75, 423 (2010)

    Article  ADS  Google Scholar 

  13. Riazuddin and Fiyyazuddin, in: A modern introduction to particle physics (Allied Publishers Limited, 2000) p. 256

  14. F E Close and A Wambach, Nucl. Phys. B412, 169 (1994)

    Article  ADS  Google Scholar 

  15. A K Ghatak and S Lokanathan, in: Quantum mechanics (McGraw Hill, 1997) p. 291

  16. Handbook of mathematical functions with formulas, graphs and mathematical tables edited by M Abramowitz and I A Stegun (National Bureau of Standards Applied Mathematics Series, 55, Department of Commerce, USA, 1974)

  17. J J Sakurai, in: Advanced quantum mechanics (Addison-Willey Publishing Company, Massachusetts, 1986) p. 128

    Google Scholar 

  18. C Itzykson and J Zuber, in: Quantum field theory (International Student Edition, McGraw Hill, Singapore, 1986) p. 79

  19. M Peter, Phys. Rev. Lett. 78, 603 (1997); Nucl. Phys. B501, 471 (1997)

    Google Scholar 

  20. Y Schroeder, Phys. Lett. B447, 321 (1999)

    ADS  Google Scholar 

  21. Y Schroeder, Nucl. Phys. Proc. Suppl. 86, 525 (2000)

    Article  ADS  Google Scholar 

  22. A Le Yaouanc, L Oliver, O Pene and J C Raynal, Phys. Lett. B365, 319 (1996)

    ADS  Google Scholar 

  23. A Le Yaouanc, L Oliver and J C Raynal, Phys. Rev. D69, 094022 (2004)

    ADS  Google Scholar 

  24. M A Ivanov, V E Lyubouvitskij, L G Körner and P Kroll, Phys. Rev. D56, 348 (1997)

    ADS  Google Scholar 

  25. E Jenkins, A Manohar and M B Wise, Nucl. Phys. B396, 38 (1996)

    ADS  Google Scholar 

  26. Y B Dai, C S Huang, M K Huang and C Liu, Phys. Lett. B387, 379 (1996)

    ADS  Google Scholar 

  27. B Holdom, M Sutherland and J Mureika, Phys. Rev. D49, 2359 (1994)

    ADS  Google Scholar 

  28. M Sadzikowski and K Zalewski, Z. Phys. C59, 667 (1993)

    ADS  Google Scholar 

  29. J L Rosner, Phys. Rev. D42, 3732 (1990)

    ADS  Google Scholar 

  30. T Mannel, W Roberts and Z Ryzak, Phys. Rev. D44, R18 (1991)

    ADS  Google Scholar 

  31. T Mannel, W Roberts and Z Ryzak, Phys. Lett. B255, 593 (1993)

    ADS  Google Scholar 

  32. M Neubert, Phys. Lett. B264, 455 (1991)

    ADS  Google Scholar 

  33. M Neubert, Int. J. Mod. Phys. A11, 4173 (1996)

    ADS  Google Scholar 

  34. D Ebert, R N Faustov and V O Galkin, arXiv:hep-ph/0611307

  35. B König, J G Körner, M Krämer and P Kroll, Phys. Rev. D56, 4282 (1997)

    ADS  Google Scholar 

  36. UKQCD Collaboration: K C Bowler et al, Nucl. Phys. B637, 293 (2002)

    Article  ADS  Google Scholar 

  37. CLEO Collaboration: J Bartlet et al, Phys. Rev. Lett. 82, 3746 (1999)

    Article  Google Scholar 

Download references

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Correspondence to BHASKAR JYOTI HAZARIKA.

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HAZARIKA, B.J., CHOUDHURY, D.K. Isgur–Wise function in a quantum chromodynamics-inspired potential model with confinement as parent in the variationally improved perturbation theory. Pramana - J Phys 78, 555–564 (2012). https://doi.org/10.1007/s12043-011-0255-4

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  • DOI: https://doi.org/10.1007/s12043-011-0255-4

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