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

Abstract
HTML
Reference
Related

PDF

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

[1]	Takuya Morozumi , Hideaki Okane , Hiroki Sakamoto , Yusuke Shimizu , Kenta Takagi , Hiroyuki Umeeda . Phenomenological aspects of possible vacua of a neutrino flavor model. Chinese Physics C, 2018, 42(2): 023102. doi: 10.1088/1674-1137/42/2/023102
[2]	Chao-Yi Lü , P. Wang , Y. B. Dong , P. N. Shen , Z. Y. Zhang , D. M. Li . Phenomenological study on the decay widths of Υ(nS)→d^(2380)+X^. Chinese Physics C, 2018, 42(6): 064102. doi: 10.1088/1674-1137/42/6/064102
[3]	Sergey Dubovichenko , Nassurlla Burtebayev , Albert Dzhazairov-Kakhramanov , Denis Zazulin , Zhambul Kerimkulov , Marzhan Nassurlla , Chingis Omarov , Alesya Tkachenko , Tatyana Shmygaleva , Stanislaw Kliczewski , Turlan Sadykov . New measurements and phase shift analysis of p¹⁶O elastic scattering at astrophysical energies. Chinese Physics C, 2017, 41(1): 014001. doi: 10.1088/1674-1137/41/1/014001
[4]	Anwer A . Correspondence between phenomenological and IBM-1 models of even isotopes of Yb. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101
[5]	LIANG Cui-Ying , DONG Yu-Bing . Deuteron form factors in a phenomenological approach. Chinese Physics C, 2015, 39(10): 104104. doi: 10.1088/1674-1137/39/10/104104
[6]	FAN Jia-Wei , TAO Jun-Quan , SHEN Yu-Qiao , CHEN Guo-Ming , CHEN He-Sheng , S. Gascon-Shotkin , M. Lethuillier , L. Sgandurra , P. Soulet . Study of diphoton decays of the lightest scalar Higgs boson in the Next-to-Minimal Supersymmetric Standard Model. Chinese Physics C, 2014, 38(7): 073101. doi: 10.1088/1674-1137/38/7/073101
[7]	DENG Cheng-Rong , PING Jia-Lun , ZHOU Ping , WANG Fan . Dynamical study of light scalar mesons below 1 GeV in a flux-tube model. Chinese Physics C, 2013, 37(3): 033101. doi: 10.1088/1674-1137/37/3/033101
[8]	YUAN Xu-Hao , KE Hong-Wei , DING Yi-Bing , LI Xue-Qian . Re-study of the contribution of scalar potential and spectra of cc, bb and bc(bc) families. Chinese Physics C, 2012, 36(2): 117-126. doi: 10.1088/1674-1137/36/2/003
[9]	FU Zi-Wen , Carleton DeTar . Scalar meson spectroscopy with a fine lattice. Chinese Physics C, 2011, 35(10): 896-901. doi: 10.1088/1674-1137/35/10/002
[10]	LI Ming-Tao , DONG Yu-Bing , ZHANG Zong-Ye . A study of meson-meson potential in the chiral quark model. Chinese Physics C, 2011, 35(7): 622-628. doi: 10.1088/1674-1137/35/7/005
[11]	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
[12]	ZHANG Zhi-Qing , XIAO Zhen-Jun . Study of scalar meson a₀(980) from B→a₀(980)π decays. Chinese Physics C, 2010, 34(5): 528-534. doi: 10.1088/1674-1137/34/5/002
[13]	ZHANG Zi-Zhen . Relativistic description of single-particle resonances via phase shift analysis. Chinese Physics C, 2009, 33(3): 187-190. doi: 10.1088/1674-1137/33/3/005
[14]	LI Xiao-Hua , LIANG Chun-Tian , CAI Chong-Hai . Comparison between global phenomenological and microscopic optical potentials for proton as projectile below 100 MeV. Chinese Physics C, 2009, 33(6): 415-422. doi: 10.1088/1674-1137/33/6/003
[15]	DAI Lian-Rong , LIU Jia , ZHANG Dan . Multiquark states and the mixing of scalar meson. Chinese Physics C, 2009, 33(12): 1397-1400. doi: 10.1088/1674-1137/33/12/064
[16]	FU Cheng-Dong , MO Xiao-Hu . Significance of absolute energy scale for physics at BESⅢ. Chinese Physics C, 2008, 32(10): 776-780. doi: 10.1088/1674-1137/32/10/002
[17]	NI GuangJiong , WANG HaiBin , YAN Jun , LI HaiLong . Lamb Shift Calculated by a Semiquantitative Method. Chinese Physics C, 2000, 24(5): 400-407.
[18]	Chen Baoqiu , Ma Zhongyu . A Study of the Relativistic Microscopic Optical Potential Based on the Relativistic Brueckner-Bethe-Goldstone Equation. Chinese Physics C, 1992, 16(S1): 73-81.
[19]	Xing Zheng , Chen Xingqu . A Phenomenological Analysis of Superdeformed Bands in Even-Even Nuclei. Chinese Physics C, 1991, 15(S4): 411-417.
[20]	Xiong Liangyue . A Phenomenological Model for Positron Trapping at Dislocations. Chinese Physics C, 1988, 12(S1): 9-18.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-08-16
Revised: 2010-09-01

Article Metric

Article Views(2597)
PDF Downloads(406)
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

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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录