Research ArticleOpen AccessGoogle Scholar indexed
Investigation on Virtual State Contribution to Gauge Invariant Cross Section of e<sup>+</sup>e<sup>-</sup>→J/ψ+η<sub>c</sub> in Bethe-Salpeter Framework
Department of Physics, Addis Ababa University, Addis Ababa, Ethiopia
School of Physics, Shandong University, Jinan, China
School of Physics, Shandong University, Jinan, China
- 1 Department of Physics, Addis Ababa University, Addis Ababa, Ethiopia
- 2 School of Physics, Shandong University, Jinan, China
- 3 School of Physics, Shandong University, Jinan, China
Journal of Modern Physics·Volume 05 (2014)·Pages 1027–1035·Published 30 June 2014·DOI10.4236/jmp.2014.511104
Copy link · social · email
Abstract
It is shown that the virtual states and relative momentum of the constituents of the bound states are very important for the cross section of the process e + e - →J/ψ+η c with the help of the Bethe-Salpeter wave function description of the bound states. The gauge invariance of the cross section is demonstrated. The numerical results can explain the experimental data.
KeywordsBethe-Salpeter Wave FunctionVirtual StatesRelative Momentum
- Abe, K., et al. (Belle Collaboration) (2002) Physical Review Letters, 89, Article ID: 142001. http://dx.doi.org/10.1103/PhysRevLett.89.142001
- Abe, K., et al. (Belle Collaboration) (2004) Physical Review D, 70, Article ID: 071102. http://dx.doi.org/10.1103/PhysRevD.70.071102
- Aubert, B., et al. (BABAR Collaboration) (2005) Physical Review D, 72, Article ID: 031101. http://dx.doi.org/10.1103/PhysRevD.72.031101
- Bodwin, G.T., Braaten, E. and Lepage, G.P. (1995) Physical Review D, 51, 1125-1171. http://dx.doi.org/10.1103/PhysRevD.51.1125
- Fulton, R., et al. (CLEO Collaboration) (1989) Physics Letters B, 224, 445-449. http://dx.doi.org/10.1016/0370-2693(89)91476-7
- Briere, R.A., et al. (CLEO Collaboration) (2004) Physical Review D, 70, Article ID: 072001. http://dx.doi.org/10.1103/PhysRevD.70.072001
- Li, S.Y., Xie, Q.B. and Wang, Q. (2000) Physics Letters B, 482, 65-70. http://dx.doi.org/10.1016/S0370-2693(00)00439-1
- Han, W. and Li, S.Y. (2006) Physical Review D, 74, Article ID: 117502. http://dx.doi.org/10.1103/PhysRevD.74.117502
- Xie, Q.B. and Li, S.Y. (2000) Contribution of Colour-Singlet Process Upsilon --> J/psi c anti-c g to Upsilon --> J/psi + X, and its indication. Prepared for 3rd Joint Meeting of Chinese Physicists Worldwide: Role of Physics in the New Millenium: Research, Education and Society, Hong Kong, 31 July-4 August 2000, 218-220.
- Abulencia, A., et al. (CDF Collaboration) (2007) Physical Review Letters, 99, Article ID: 132001. http://dx.doi.org/10.1103/PhysRevLett.99.132001
- Braaten, E. and Lee, J. (2003) Physical Review D, 67, Article ID: 054007. http://dx.doi.org/10.1103/PhysRevD.67.054007
- Liu, K.-Y., He, Z.-G. and Chao, K.-T. (2003) Physics Letters B, 557, 45-54. http://dx.doi.org/10.1016/S0370-2693(03)00176-X
- Hagiwara, K., Kou, E. and Qiao, C.-F. (2003) Physics Letters B, 570, 39-45. http://dx.doi.org/10.1016/j.physletb.2003.07.006
- Bodwin, G.T., Lee, J. and Yu, C. (2008) Physical Review D, 77, Article ID: 094018. http://dx.doi.org/10.1103/PhysRevD.77.094018
- He, Z.G., Fan, Y. and Chao, K.T. (2007) Physical Review D, 75, Article ID: 074011. http://dx.doi.org/10.1103/PhysRevD.75.074011
- Gong, B. and Wang, J.X. (2008) Physical Review D, 77, Article ID: 054028. http://dx.doi.org/10.1103/PhysRevD.77.054028