摘要Wavefunction at the origin, with the incorporation of a relativistic effect, leads to singularity in a specific potential model. To regularize the wavefunction, we introduced a short distance scale and used it to estimate the mass and decay constants of Bd and Bs mesons within the QCD potential model. These values were then used to compute the oscillation frequency, ΔmB, of Bd and Bs mesons. The values were found to be in good agreement with experimental and other theoretical values.
Abstract：Wavefunction at the origin, with the incorporation of a relativistic effect, leads to singularity in a specific potential model. To regularize the wavefunction, we introduced a short distance scale and used it to estimate the mass and decay constants of Bd and Bs mesons within the QCD potential model. These values were then used to compute the oscillation frequency, ΔmB, of Bd and Bs mesons. The values were found to be in good agreement with experimental and other theoretical values.
Krishna Kingkar Pathak**;D. K. Choudhury
. The Oscillation Frequency of B and Krishna Kingkar Pathak**, D. K. Choudhury
. The Oscillation Frequency of B and
[1] Rosner J and Stone S arXiv:1002.1655 [hep-ph] (expanded version of a review prepared for PDG 2010)
[2] Choudhury D K and Das P 1996 Pramana J. Phys. 46 349
[3] Choudhury D K and Bordoloi N S 2002 MPLA 17 1909
[4] Choudhury D K and Bordoloi N S 2009 MPLA 24 443
[5] Ebert D, Faustov R N and Galkin V O 2009 Phys. Rev. D 79 114029
[6] Ebert D, Faustov R N and Galkin V O 2006 Phys. Lett. B 635 93
[7] Deoghuria S and Chakrabarty S 1989 Nucl. Part. Phys. G 15 1213
Deoghuria S and Chakrabarty S 1990 Nucl. Part. Phys. G 16 1825
Deoghuria S and Chakrabarty S 1992 Z. Phys. C: Particles and Fields 53 293
[8] Hadizadeh M R and Tomio Lauro arXiv:1104.3891v1 [hep-ph]
[9] Itzykson C and Zuber J 1986 Quantum Field Theory (Singapore: McGraw Hill) p 79
[10] Van Royen R et al 1967 Nuovo Cimento A 50 617
[11] Rai A K, Parmer R H and Vinod Kumar P C 2002 J. Phys. G: Nucl. Part. Phys. 28 2275
[12] Halzen F and Martin A D 1984 Quarks and Leptons (New Work John Willey and Sons)
[13] Yao W M et al (partcle data group) 2006 J. Phys. G 33 1
[14] Ebert D et al 2003 Phys. Rev. D 67 014027
[15] Pierro M Di et al 2001 Phys. Rev. D 64 114004
[16] Buras A 2003 Phys. Lett. B 566 115
[17] Patel B, Rai A K and Vinodkumar P C 2008 arXiv:0811.3817 [hep-ph]
[18] Inami, T and Lim C S 1981 Prog. Theor. Phys. 65 297 [Erratum-ibid. 65 1772]
[19] Abulencia A et al [CDF collaboration] 2006 Phys. Rev. Lett. 97 242003
[20] Abe F et al (CDF Collaboration) 1999 Phys. Rev. D 60 051101
[21] Abe F et al (CDF Collaboration) 1999 Phys. Rev. D 60 072003
[22] Ebert D et al 2006 Phys. Lett. B 634 214
[23] Gvetic G et al 2004 Phys. Lett. B 596 84
[24] Bernard C et al 2002 Phys. Rev. D 66 094501
[25] Jamin M et al 2002 Phys. Rev. D 65 056005
[26] Buras A J 2010 arXiv:1009.1303v1 [hep-ph]
[27] Aubin C et al 2005 Phys. Rev. Lett. 95 122002
[28] Grey A et al 2005 Phys. Rev. Lett. 95 212001
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