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

Abstract
HTML
Reference
Related

PDF

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.

References

[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

[1]	Zhi-Gang Wang . B_c meson and its scalar cousin with QCD sum rules. Chinese Physics C, 2024, 48(10): 103104. doi: 10.1088/1674-1137/ad5a71
[2]	Yan-Bing Wei , Run-Hui Li , Dan Luo , Cai-Dian Lü , Yue-Long Shen . Exclusive production of B_c mesons in e⁺e^- colliders. Chinese Physics C, 2018, 42(8): 083107. doi: 10.1088/1674-1137/42/8/083107
[3]	CHEN Yong-Hao , CHEN Xi-Meng , ZHANG Xiao-Dong , LEI Jia-Rong , AN Li , SHAO Jian-Xiong , ZHENG Pu , WANG Xin-Hua , ZHU Chuan-Xin , HE Tie , YANG Jian . Study of n-γ discrimination in low energy range (above 40 keVee) by charge comparison method with a BC501A liquid scintillation detector. Chinese Physics C, 2014, 38(3): 036001. doi: 10.1088/1674-1137/38/3/036001
[4]	WANG Wen-Fei , FAN Ying-Ying , XIAO Zhen-Jun . Semileptonic decays B_c→(η_c,J/Ψ)lv in the perturbative QCD approach. Chinese Physics C, 2013, 37(9): 093102. doi: 10.1088/1674-1137/37/9/093102
[5]	CHEN Yong-Hao , LEI Jia-Rong , ZHANG Xiao-Dong , AN Li , ZHENG Pu , WANG Xin-Hua , ZHU Chuan-Xin , HE Tie . Study of n-γ discrimination for 0.4-1 MeV neutrons using the zero-crossing method with a BC501A liquid scintillation detector. Chinese Physics C, 2013, 37(4): 046202. doi: 10.1088/1674-1137/37/4/046202
[6]	ZHOU Bin , RUAN Xi-Chao , NIE Yang-Bo , ZHOU Zu-Ying , AN Feng-Peng , CAO Jun . A study of antineutrino spectra from spent nuclear fuel at Daya Bay. Chinese Physics C, 2012, 36(1): 1-5. doi: 10.1088/1674-1137/36/1/001
[7]	FU Zi-Wen , Carleton DeTar . Full lattice QCD study of the κ scalar meson. Chinese Physics C, 2011, 35(12): 1079-1083. doi: 10.1088/1674-1137/35/12/001
[8]	LIU Li-Quan , ZHAO Shu-Min , ZHANG Jian-Jun , YANG Bao-Zhu , HUANG De-Bao . One-loop QCD contribution to the potential of QQ. Chinese Physics C, 2011, 35(2): 126-129. doi: 10.1088/1674-1137/35/2/003
[9]	YUAN Xu-Hao , KE Hong-Wei , LI Xue-Qian . Phenomenological study on the significance of the scalar potential and Lamb shift. Chinese Physics C, 2011, 35(5): 419-425. doi: 10.1088/1674-1137/35/5/002
[10]	LI Bai-Qing , LI Rong , HE Zhi-Guo . η_b decay into charmonium in association with cc pair. Chinese Physics C, 2010, 34(5): 521-527. doi: 10.1088/1674-1137/34/5/001
[11]	YAN Jie , LIU Rong , LI Cheng , JIANG Li , LU Xin-Xin , ZHU Tong-Hua . Energy calibration of a BC501A liquid scintillator using a γ-γ coincidence technique. Chinese Physics C, 2010, 34(7): 993-997. doi: 10.1088/1674-1137/34/7/012
[12]	J.M. Flynn , E. Hernandez . Semileptonic bc to cc and bb to bc baryon decays and heavy quark spin symmetry. Chinese Physics C, 2010, 34(9): 1364-1367. doi: 10.1088/1674-1137/34/9/043
[13]	WANG Hai-Jun , ZHANG Wei-Ning , Yin Wong , . Meson spectra governed by the Fermi-Breit potential. Chinese Physics C, 2009, 33(3): 170-176. doi: 10.1088/1674-1137/33/3/002
[14]	MENG Xiang-Wei . Feasibility study for the measurement of B_c meson mass and lifetime with the general purpose detector at the LHC. Chinese Physics C, 2008, 32(2): 83-87. doi: 10.1088/1674-1137/32/2/001
[15]	HUANG Tao . Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator. Chinese Physics C, 2007, 31(9): 849-856.
[16]	CHANG Chao-Hsi . B_c Meson Studies. Chinese Physics C, 2002, 26(S1): 1-10.
[17]	Lu Gongru , Xiong Zhaohua , Cao Yigang , Yang Yadong . A Study on Rare Radiative Decay B_c→D_sγ in Technicolor Models. Chinese Physics C, 1997, 21(5): 413-424.
[18]	ZHANG Zhao-Xi , CHEN Yu-Qi . The Production of B_c⁽B_c) Meson Through Z⁰ Boson Decay. Chinese Physics C, 1992, 16(4): 335-339.
[19]	Li Yuncai , Yang Shande , Wu Shishu . Contribution of the 2H-1P Multiple Scattering Correlation and Self Screening Effect to the Spectra of ¹⁷O and ¹⁵O. Chinese Physics C, 1990, 14(S4): 407-415.
[20]	Wu Shishu , Yang Shande , Li Yuncai . Contribution of the 2p-1h Multiple Scattering Correlation to the Spectra of ¹⁷O and ¹⁵O. Chinese Physics C, 1989, 13(S3): 321-329.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2320)
PDF Downloads(323)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article