Phenomenological study on the significance of the scalar potential and Lamb shift

YUAN Xu-Hao; KE Hong-Wei; LI Xue-Qian

doi:10.1088/1674-1137/35/5/002

Chinese Physics C> 2011, Vol. 35> Issue(5) : 419-425 DOI: 10.1088/1674-1137/35/5/002

Phenomenological study on the significance of the scalar potential and Lamb shift

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Abstract：
We indicated in our previous work that for QED the contributions of the scalar potential, which appears at the loop level, is much smaller than that of the vector potential, and in fact negligible. But the situation may be different for QCD, the reason being that the loop effects are more significant because \alpha_m s is much larger than \alpha, and secondly the non-perturbative QCD effects may induce the scalar potential. In this work, we phenomenologically study the contribution of the scalar potential to the spectra of charmonia. Taking into account both vector and scalar potentials, by fitting the well measured charmonia spectra, we re-fix the relevant parameters and test them by calculating other states of the charmonia family. We also consider the role of the Lamb shift and present the numerical results with and without involving the Lamb shift.

References

[1]

ZHANG Fu-Lin, FU Bo, CHEN Jin-Lin. Phys. Rev. A, 2008, 78: 040101(R)-040104(R)2 Lucha W, Rupprecht H, Schoberl F F. Phys. Rev. D, 1992, 46: 1088-10953 KE Hong-Wei, LI Zuo, CHEN Jin-Lin et al. Int. J. Mod. Phys. A, 2010, 25: 1123-1134 [arXiv:0907.0051 [hep-ph]]4 Leviatan A. Phys. Rev. Lett. 2004, 92: 202501-202504; 219902 [arXiv:nucl-th/0312018]5 Leviatan A. Int. J. Mod. Phys. E, 2005, 14: 111-120, [arXiv:nucl-th/0407107]6 Leviatan A. Phys. Rev. Lett. 2009, 103: 042502-042505 [arXiv:0907.3557 [nucl-th]]7 Lucha W, Schoberl F F, Gromes D. Phys. Rept. 1991, 200: 127-2408 Hoang A H, Manohar A V, Stewart I W. Phys. Rev. D, 2001, 64: 014033-014045 [arXiv:hep-ph/0102257]9 Titard S, Yndurain F J. Phys. Rev. D, 1994, 49: 6007-6025 [arXiv:hep-ph/9310236]10 DING Yi-Bing, QIN Dan-Hua, CHAO Kuang-Ta. Phys. Rev. D, 1991, 44: 3562-356611 Eichten E, Gottfried K, Kinoshita T et al. Phys. Rev. Lett. 1975, 34: 369-372; Phys. Rev. D, 1978, 17: 3090-3117; Phys. Rev. D, 1980, 21: 203-23312 CAI Chong-Hai, LI Lei. HEP NP 2003, 27(11): 1005 (in Chinese)13 Silbar R, Goldman T [arXiv:1001.2514v1]14 Amsler C, Doser M, Antonelli M et al. (Particle Data Group). Phys. Lett. B, 2008, 667: 1-133915 Press W H. Numerical Recipes: The Art of Scienti c Com- puting. New York: Cambridge University Press, 200716 KE Hong-Wei, LI Xue-Qian. arXiv:0910.1158 [hep-ph]17 DING Hong-Qiang. Phys. Lett. B, 1988, 200: 133-13618 Bali G S, Schilling K. Phys. Rev. D, 1992, 46: 2636-264619 Titard S, Yndurain F J. Phys. Rev. D, 1995, 51: 6348-636320 Pineda A, Yndurain F J. Phys. Rev. D, 1998, 58: 094022-094029; Phys. Rev. D, 2000, 61: 077505-07750821 Billoire A. Phys. Lett. B, 1980, 92: 343-34722 Fischler W. Nucl. Phys. B, 1977, 129: 157-17423 Peter M. Phys. Rev. Lett. 1997, 78: 602-605 [arXiv:hep- ph/9610209]24 Schroder Y. Phys. Lett. B, 1999, 447: 321-326 [arXiv:hep- ph/9812205]25 Franklin J. Mod. Phys. Lett. A, 1999, 14: 2409-2411, De Castro A S and Franklin J. Int. J. Mod. Phys. A, 2000, 15: 4355-4360 [arXiv:hep-ph/0011137], Crater H W, Yoon J H, Wong C Y. Phys. Rev. D, 2009, 79: 034011-034028

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YUAN Xu-Hao, KE Hong-Wei and LI Xue-Qian. Phenomenological study on the significance of the scalar potential and Lamb shift[J]. Chinese Physics C, 2011, 35(5): 419-425. doi: 10.1088/1674-1137/35/5/002

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Received: 2010-08-16
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沈阳化工大学材料科学与工程学院沈阳 110142

Phenomenological study on the significance of the scalar potential and Lamb shift

Received Date: 2010-08-16

Accepted Date: 2010-09-01

Available Online: 2011-05-05

Abstract: We indicated in our previous work that for QED the contributions of the scalar potential, which appears at the loop level, is much smaller than that of the vector potential, and in fact negligible. But the situation may be different for QCD, the reason being that the loop effects are more significant because \alpha_m s is much larger than \alpha, and secondly the non-perturbative QCD effects may induce the scalar potential. In this work, we phenomenologically study the contribution of the scalar potential to the spectra of charmonia. Taking into account both vector and scalar potentials, by fitting the well measured charmonia spectra, we re-fix the relevant parameters and test them by calculating other states of the charmonia family. We also consider the role of the Lamb shift and present the numerical results with and without involving the Lamb shift.

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Phenomenological study on the significance of the scalar potential and Lamb shift

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