Re-study of the contribution of scalar potential and spectra of cc, bb and bc(bc) families

YUAN Xu-Hao; KE Hong-Wei; DING Yi-Bing; LI Xue-Qian

doi:10.1088/1674-1137/36/2/003

Chinese Physics C> 2012, Vol. 36> Issue(2) : 117-126 DOI: 10.1088/1674-1137/36/2/003

Re-study of the contribution of scalar potential and spectra of cc, bb and bc(bc) families

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Abstract：
We indicated in our previous work that for QED the role of the scalar potential which appears at the loop level is much smaller than that of the vector potential and is in fact negligible. But the situation is different for QCD, one reason is that the loop effects are more significant because α_s is much larger than α, and second the non-perturbative QCD effects may induce a sizable scalar potential. In this work, we study phenomenologically the contribution of the scalar potential to the spectra of charmonia, bottomonia and bc(bc) families. Taking into account both vector and scalar potentials, by fitting the well measured charmonia and bottomonia spectra, we re-fix the relevant parameters and test them by calculating other states of not only the charmonia and bottomonia families, but also the bc family. We also consider the Lamb shift of the spectra.

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[1]

Quigg C, Rosner J L. Phys. Rept., 2004, 56: 1672 Brambilla N et al. (Quarkonium Working Group).arXiv:hep-ph/04121583 ZHANG F, FU B, CHEN J. Phys. Rev. A, 2008, 78:040101(R)4 KE H W, LI Z, CHEN J L, DING Y B, LI X Q. Int. J.Mod. Phys. A, 2010, 25: 11235 ZHANG Y J, CHAO K T. Phys. Rev. Lett., 2007, 98:0920036 GONG B,WANG J X. Phys. Rev. Lett., 2009, 102: 1620037 Leviatan A. Phys. Rev. Lett., 2004, 92: 202501; 219902;Int. J. Mod. Phys. E, 2005, 14: 111; Phys. Rev. Lett.,2009, 103: 0425028 YUAN X H, KE H W, LI X Q. arXiv:1011.4629 [hep-ph]9 Lucha W, Rupprecht H, Schoberl F F. Phys. Rev. D, 1992,46: 108810 Lucha W, Schoberl F F, Gromes D. Phys. Rept., 1991, 200:12711 DING Y B, QIN D H, CHAO K T. Phys. Rev. D, 1991,44: 356212 Hoang A H, Manohar A V, Stewart I W. Phys. Rev. D,2001, 64: 01403313 Titard S, Yndurain F J. Phys. Rev. D, 1994, 49: 6007;Phys. Rev. D, 1995, 51: 634814 Brambilla N, Pineda A, Soto J, Vairo A. Nucl. Phys. B,2000, 566: 275; Brambilla N, Pineda A, Soto J, Vairo A.Rev. Mod. Phys., 2005, 77: 142315 KE H W, LI X Q. Sci. China G, 2010, 53: 201916 Eichten E et al. Phys. Rev. Lett., 1975, 34: 369; Phys. Rev.D, 1978, 17: 3090; Phys. Rev. D, 1980, 21: 20317 CAI C H, LEI L. HEP NP, 2003, 27(11): 100518 Silbar R, Goldman T. [arXiv:1001.2514v1]19 DING Y B, LI X Q, SHEN P N. Commun. Theor. Phys.,2000, 33: 61320 Nakamura K et al. (Particle Data Group). J. Phys. G, 2010,37: 07502121 Press William H et al. Numerical Recipes: the Art of Scienti c Computing. New York: Cambridge University Press,200722 DING H Q. Phys. Lett. B, 1988, 200: 13323 Bali G S, Schilling K. Phys. Rev. D, 1992, 46: 263624 Schnitzer H J. Phys. Rev. D, 1978, 18: 348225 Khadkikar S B, Gupta S K. Phys. Lett. B, 1983, 124: 523;Vinodkumar P C, Vijayakumar K B, Khadkikar S B. Pramana,1992, 39: 4726 Greiner W, Reinhardt J. Quantum Electrodynamics.Berlin: Springer, 199227 Pineda A, Yndurain F J. Phys. Rev. D, 1998, 58: 094022;Phys. Rev. D, 2000, 61: 07750528 Billoire A. Phys. Lett. B, 1980, 92: 34329 Fischler W. Nucl. Phys. B, 1977, 129: 15730 Peter M. Phys. Rev. Lett., 1997, 78: 60231 Schroder Y. Phys. Lett. B, 1999, 447: 321; Crater H W,Yoon J H, Wong C Y. Phys. Rev. D, 2009, 79: 03401132 Godfrey S. Phys. Rev. D, 2004, 70: 05401733 Ebert D, Faustov R N, Galkin V O. Phys. Rev. D, 2003,67: 01402734 KE H W, WANG G L, LI X Q, CHANG C H. Sci. ChinaG, 2010, 53: 202535 Franklin J. Mod. Phys. Lett. A, 1999, 14: 2409; de CastroA S, Franklin J. arXiv:hep-ph/0011137; Int. J. Mod. Phys.A, 2000, 15: 4355;36 van Beveren E, Dullemond C, Rupp G. Phys. Rev. D, 1980,21: 772; 22: 787; van Beveren E, Rupp G. arXiv:1009.1778[hep-ph]; arXiv:1009.3395 [hep-ph]37 Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M.Phys. Rev. D, 1978, 17: 3090; 1980, 21: 313; Phys. Rev.D, 1980, 21: 20338 Barchielli A, Brambilla N, Prosperi G M. Nuovo Cim. A,1990, 103: 5939 Cohen-Tannoudji C, Diu B, Laloe F. Quantum Mechanics, 2 Volume Set. NewYork: John Wiley Sons, Inc., 200640 McClary R, Byers N. Phys. Rev. D, 1983, 28: 1692

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YUAN Xu-Hao, KE Hong-Wei, DING Yi-Bing and LI Xue-Qian. Re-study of the contribution of scalar potential and spectra of cc, bb and bc(bc) families[J]. Chinese Physics C, 2012, 36(2): 117-126. doi: 10.1088/1674-1137/36/2/003

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Received: 2011-05-06
Revised: 2011-07-29

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Re-study of the contribution of scalar potential and spectra of cc, bb and bc(bc) families

Corresponding author: KE Hong-Wei,

Received Date: 2011-05-06

Accepted Date: 2011-07-29

Available Online: 2012-02-05

Abstract: We indicated in our previous work that for QED the role of the scalar potential which appears at the loop level is much smaller than that of the vector potential and is in fact negligible. But the situation is different for QCD, one reason is that the loop effects are more significant because α_s is much larger than α, and second the non-perturbative QCD effects may induce a sizable scalar potential. In this work, we study phenomenologically the contribution of the scalar potential to the spectra of charmonia, bottomonia and bc(bc) families. Taking into account both vector and scalar potentials, by fitting the well measured charmonia and bottomonia spectra, we re-fix the relevant parameters and test them by calculating other states of not only the charmonia and bottomonia families, but also the bc family. We also consider the Lamb shift of the spectra.

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Re-study of the contribution of scalar potential and spectra of cc, bb and bc(bc) families

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