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.
Similar content being viewed by others
References
N Isgur and M B Wise, Phys. Lett. B232, 113 (1989); Phys. Lett. B237, 527 (1990)
D K Choudhury, P Das, D D Goswami and J N Sharma, Pramana – J. Phys. 44, 519 (1995)
D K Choudhury and N S Bordoloi, Int. J. Mod. Phys. A15, 3667 (2000)
A D Rujula, H Georgi and S L Glashow, Phys. Rev. D12, 147 (1975)
D K Choudhury and N S Bordoloi, Mod. Phys. Lett. A17(29), 1909 (2002)
D K Choudhury and N S Bordoloi, Mod. Phys. Lett. A26, 443 (2009)
B J Hazarika and D K Choudhury, arXiv:hep-ph/1102.4970, Accepted in Bra. J. Phys. (2011)
B J Hazarika, K K Pathak and D K Choudhury, arXiv:hep-ph/1012.4377
S K You, K J Jeon, C K Kim and K Nahm, Eur. J. Phys. 19, 179 (1998)
I J R Aitchison and J J Dudek, Eur. J. Phys. 23, 605 (2002)
F M Fernandez, Eur. J. Phys. 24, 289 (2003)
B J Hazarika and D K Choudhury, Pramana – J. Phys. 75, 423 (2010)
Riazuddin and Fiyyazuddin, in: A modern introduction to particle physics (Allied Publishers Limited, 2000) p. 256
F E Close and A Wambach, Nucl. Phys. B412, 169 (1994)
A K Ghatak and S Lokanathan, in: Quantum mechanics (McGraw Hill, 1997) p. 291
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)
J J Sakurai, in: Advanced quantum mechanics (Addison-Willey Publishing Company, Massachusetts, 1986) p. 128
C Itzykson and J Zuber, in: Quantum field theory (International Student Edition, McGraw Hill, Singapore, 1986) p. 79
M Peter, Phys. Rev. Lett. 78, 603 (1997); Nucl. Phys. B501, 471 (1997)
Y Schroeder, Phys. Lett. B447, 321 (1999)
Y Schroeder, Nucl. Phys. Proc. Suppl. 86, 525 (2000)
A Le Yaouanc, L Oliver, O Pene and J C Raynal, Phys. Lett. B365, 319 (1996)
A Le Yaouanc, L Oliver and J C Raynal, Phys. Rev. D69, 094022 (2004)
M A Ivanov, V E Lyubouvitskij, L G Körner and P Kroll, Phys. Rev. D56, 348 (1997)
E Jenkins, A Manohar and M B Wise, Nucl. Phys. B396, 38 (1996)
Y B Dai, C S Huang, M K Huang and C Liu, Phys. Lett. B387, 379 (1996)
B Holdom, M Sutherland and J Mureika, Phys. Rev. D49, 2359 (1994)
M Sadzikowski and K Zalewski, Z. Phys. C59, 667 (1993)
J L Rosner, Phys. Rev. D42, 3732 (1990)
T Mannel, W Roberts and Z Ryzak, Phys. Rev. D44, R18 (1991)
T Mannel, W Roberts and Z Ryzak, Phys. Lett. B255, 593 (1993)
M Neubert, Phys. Lett. B264, 455 (1991)
M Neubert, Int. J. Mod. Phys. A11, 4173 (1996)
D Ebert, R N Faustov and V O Galkin, arXiv:hep-ph/0611307
B König, J G Körner, M Krämer and P Kroll, Phys. Rev. D56, 4282 (1997)
UKQCD Collaboration: K C Bowler et al, Nucl. Phys. B637, 293 (2002)
CLEO Collaboration: J Bartlet et al, Phys. Rev. Lett. 82, 3746 (1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12043-011-0255-4