Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian

Fangcheng He; Ping Wang

doi:10.1088/1674-1137/41/11/114106

Chinese Physics C> 2017, Vol. 41> Issue(11) : 114106 DOI: 10.1088/1674-1137/41/11/114106

Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian

Fangcheng He ^1,2,, ,
Ping Wang ^1,3,,

1.
Institute of High Energy Physics, Beijing 100049, China
2.
University of Chinese Academy of Sciences, Beijing 100049, China
3.
Theoretical Physics Center for Science Facilities(TPCSF), Chinese Academy of Sciences, Beijing 100049, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Dirac and Pauli form factors are investigated in the relativistic chiral effective Lagrangian. The octet and decuplet intermediate states are included in the one-loop calculation. The 4-dimensional regulator is introduced to deal with the divergence. Different from the non-relativistic case, this 4-dimensional regulator is generated from the nonlocal Lagrangian with the gauge link, which guarantees local gauge invariance. As a result, additional diagrams appear which ensure electric charge 1 and 0 for proton and neutron respectively. The obtained Dirac and Pauli form factors of the nucleons are all reasonable up to relatively large Q².
- chiral effective lagrangian ,
- nonlocal lagrangian ,
- form factors

References

[1]	D.-H. Lu, A. W. Thomas, and A. G. Williams Phys. Rev. C, series 57:2628-2637(1998)
[2]	K. Berger, R. F. Wagenbrunn, and W. Plessas Phys. Rev. D, series 70:094027(2004)
[3]	B. Julia-Diaz, D. O. Riska, and F. Coester Phys. Rev. C, series 69:035212(2004)
[4]	A. J. Buchmann and R. F. Lebed Phys. Rev. D, series 67:016002(2003)
[5]	S. Cheedket, V. E. Lyubovitskij, T. Gutsche, A. Faessler, K. Pumsa-ard, and Y. Yan Eur. Phys. J. A, series 20:317-327(2004)
[6]	R. A. Williams and C. Puckett-Truman Phys. Rev. C, series 53:1580-1588(1996)
[7]	P.-N. Shen, Y.-B. Dong, Z.-Y. Zhang, Y.-W. Yu, and T. S. H. Lee Phys. Rev. C, series 55:2024-2029(1997)
[8]	R. Jakob, P. Kroll, M. Schurmann, and W. Schweiger Z. Phys. A, series 347:109-116(1993)
[9]	G. Hellstern and C. Weiss Phys. Lett. B, series 351:64-69(1995)
[10]	J. M. Zanotti, D. B. Leinweber, A. G. Williams, and J. B. Zhang Nucl. Phys. Proc. Suppl., series 129:287-289(2004)
[11]	S. Boinepalli, D. B. Leinweber, A. G. Williams, J. M. Zanotti, and J. B. Zhang Phys. Rev. D, series 74:093005(2006)
[12]	C. Alexandrou, G. Koutsou, J. W. Negele, and A. Tsapalis Phys. Rev. D, series 74:034508(2006)
[13]	series QCDSF Collaboration, M. Gockeler, T. R. Hemmert, R. Horsley, D. Pleiter, P. E. L. Rakow, A. Schafer, and G. Schierholz Phys. Rev. D, series 71:034508(2005)
[14]	M. Gockeler et al (QCDSF/UKQCD Collaboration), PoS, LAT2007:161(2007)
[15]	series LHPC Collaboration, R. G. Edwards, G. T. Fleming, P. Hagler, J. W. Negele, K. Orginos, A. V. Pochinsky, D. B. Renner, D. G. Richards, and W. Schroers, PoS, series LAT2005:056(2006)
[16]	series Lattice Hadron Collaboration, C. Alexandrou et al, J. Phys. Conf. Ser., series 16:174-178(2005)
[17]	S. J. Puglia, M. J. Ramsey-Musolf, and S.-L. Zhu Phys. Rev. D, series 63:034014(2001)
[18]	T. Fuchs, J. Gegelia, and S. Scherer J. Phys. G, series 30:1407-1426(2004)
[19]	B. Kubis and U. G. Meissner Eur. Phys. J. C, series 18:747-756(2001)
[20]	B. Kubis and U.-G. Meissner Nucl. Phys. A, series 679:698-734(2001)
[21]	R. D. Young, D. B. Leinweber, and A. W. Thomas Prog. Part. Nucl. Phys., series 50:399-417(2003)
[22]	D. B. Leinweber, A. W. Thomas, and R. D. Young Phys. Rev. Lett., series 92:242002(2004)
[23]	P. Wang, D. B. Leinweber, A. W. Thomas, and R. D. Young Phys. Rev. D, series 75:073012(2007)
[24]	P. Wang and A. W. Thomas Phys. Rev. D, series 81:114015(2010)
[25]	C. R. Allton, W. Armour, D. B. Leinweber, A. W. Thomas, and R. D. Young Phys. Lett. B, series 628:125-130(2005)
[26]	W. Armour, C. R. Allton, D. B. Leinweber, A. W. Thomas, and R. D. Young Nucl. Phys. A, series 840:97-119(2010)
[27]	J. M. M. Hall, D. B. Leinweber, and R. D. Young Phys. Rev. D, series 88(1):014504(2013)
[28]	D. B. Leinweber, S. Boinepalli, I. C. Cloet, A. W. Thomas, A. G. Williams, R. D. Young, J. M. Zanotti, and J. B. Zhang Phys. Rev. Lett., series 94:212001(2005)
[29]	P. Wang, D. B. Leinweber, A. W. Thomas, and R. D. Young Phys. Rev. C, series 79:065202(2009)
[30]	P. Wang, D. B. Leinweber, A. W. Thomas, and R. D. Young Phys. Rev. D, series 86:094038(2012)
[31]	P. Wang, D. B. Leinweber, and A. W. Thomas Phys. Rev. D, series 89(3):033008(2014)
[32]	J. M. M. Hall, D. B. Leinweber, and R. D. Young Phys. Rev. D, series 89(5):054511(2014)
[33]	P. Wang, D. B. Leinweber, and A. W. Thomas Phys. Rev. D, series 92(3):034508(2015)
[34]	H. Li, P. Wang, D. B. Leinweber, and A. W. Thomas Phys. Rev. C, series 93(4):045203(2016)
[35]	P. Wang, D. B. Leinweber, A. W. Thomas, and R. D. Young Phys. Rev. D, series 79:094001(2009)
[36]	E. E. Jenkins Nucl. Phys. B, series 368:190-203(1992)
[37]	E. E. Jenkins, M. E. Luke, A. V. Manohar, and M. J. Savage Phys. Lett. B, series 302 482-490(1993)
[38]	S. Scherer Adv. Nucl. Phys., series 27:277(2003)
[39]	L. S. Geng, J. Martin Camalich, and M. J. Vicente Vacas Phys. Rev. D, series 80:034027(2009)
[40]	A. Hiller Blin, T. Gutsche, T. Ledwig, and V. E. Lyubovitskij Phys. Rev. D, series 92(9):096004(2015)
[41]	D. B. Leinweber, A. W. Thomas, K. Tsushima, and S. V. Wright Phys. Rev. D, series 61:074502(2000)
[42]	J. Terning Phys. Rev. D, series 44(3):887-897(1991)
[43]	P. Wang Can. J. Phys., series 92:25-30(2014)
[44]	M. Seimetz (A1 Collaboration), Nucl. Phys. A, series 755:253-256(2005)

[1]	Z. Y. Gao , P. Wang , M. Y. Yang . Contributions to the nucleon form factors from bubble and tadpole diagrams. Chinese Physics C, 2023, 47(2): 023106. doi: 10.1088/1674-1137/aca466
[2]	Yan Miao , Hui Deng , Ke-Sheng Huang , Jing Gao , Yue-Long Shen . Λ_b → Λ_c form factors from QCD light-cone sum rules. Chinese Physics C, 2022, 46(11): 113107. doi: 10.1088/1674-1137/ac8652
[3]	C. Aydın . Role of neutrino form factors in the energy loss rates of the pair annihilation process. Chinese Physics C, 2022, 46(7): 073107. doi: 10.1088/1674-1137/ac62ca
[4]	Ming-Yang Yang , Ping Wang . Sea quark contributions to nucleon electromagnetic form factors with the nonlocal chiral effective Lagrangian. Chinese Physics C, 2020, 44(5): 053101. doi: 10.1088/1674-1137/44/5/053101
[5]	Liang-Liang Liu , Chao Wang , Xin-Heng Guo . Electromagnetic form factors of Λ_c in the space-like momentum region. Chinese Physics C, 2018, 42(10): 103106. doi: 10.1088/1674-1137/42/10/103106
[6]	Deepika Grover , Kapil Saraswat , Prashant Shukla , Venktesh Singh . Charged current quasi-elastic scattering of ν_μ off ¹²C. Chinese Physics C, 2018, 42(12): 123104. doi: 10.1088/1674-1137/42/12/123104
[7]	Jian Liu , Jinjuan Zhang , Chang Xu , Zhongzhou Ren . Nuclear longitudinal form factors for axially deformed charge distributions expanded by nonorthogonal basis functions. Chinese Physics C, 2017, 41(5): 054101. doi: 10.1088/1674-1137/41/5/054101
[8]	Han Guo , Zi-Ping Zhang . A method for measuring D^* electromagnetic form factors in e⁺ e^- annihilation. Chinese Physics C, 2017, 41(9): 093001. doi: 10.1088/1674-1137/41/9/093001
[9]	Bao-dong Sun , Yu-bing Dong . Deuteron electromagnetic form factors with the light-front approach. Chinese Physics C, 2017, 41(1): 013102. doi: 10.1088/1674-1137/41/1/013102
[10]	WU Qing , ZHOU Li-Juan , XIANG Qian-Fei , MA Wei-Xing . Multiquark cluster form factors in the relativistic harmonic oscillator model. Chinese Physics C, 2015, 39(1): 013102. doi: 10.1088/1674-1137/39/1/013102
[11]	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
[12]	LIANG Cui-Ying , DONG Yu-Bing , LIANG Wei-Hong . Deuteron electromagnetic form factors in transverse plane with a phenomenological Lagrangian approach. Chinese Physics C, 2014, 38(7): 074104. doi: 10.1088/1674-1137/38/7/074104
[13]	JIN Dan , YANG Ya-Dong . Space- and time-like kaon electromagnetic form factors in perturbative QCD. Chinese Physics C, 2012, 36(10): 941-946. doi: 10.1088/1674-1137/36/10/004
[14]	Baldini Ferroli . BABAR measurement of baryon time-like form factors via initial state radiation. Chinese Physics C, 2010, 34(6): 860-862. doi: 10.1088/1674-1137/34/6/040
[15]	V. P. Druzhinin . Measurements of the γγ^→π⁰ and γγ^→η_c transition form factors at BABAR. Chinese Physics C, 2010, 34(6): 816-821. doi: 10.1088/1674-1137/34/6/033
[16]	DONG Yu-Bing . An estimate of two-photon exchange effect on deuteron electromagnetic form factors. Chinese Physics C, 2010, 34(9): 1346-1349. doi: 10.1088/1674-1137/34/9/039
[17]	S. Pacetti¹ , 2 . Nucleon form factors: the space-time connection. Chinese Physics C, 2010, 34(6): 874-876.
[18]	A. J. Buchmann . Excited nucleon electromagnetic form factors from broken spin-flavor symmetry. Chinese Physics C, 2009, 33(12): 1257-1260. doi: 10.1088/1674-1137/33/12/034
[19]	R. W. Gothe . Nucleon transition form factors at JLab: status and outlook. Chinese Physics C, 2009, 33(12): 1216-1221. doi: 10.1088/1674-1137/33/12/026
[20]	Li Ziping . Canonical Symmetry in a System with Singular Lagrangian and Ward Identities. Chinese Physics C, 1994, 18(S3): 265-274.

Access

Get Citation

Fangcheng He and Ping Wang. Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian[J]. Chinese Physics C, 2017, 41(11): 114106. doi: 10.1088/1674-1137/41/11/114106

Fangcheng He and Ping Wang. Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian[J]. Chinese Physics C, 2017, 41(11): 114106. doi: 10.1088/1674-1137/41/11/114106 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-05-15
Revised: 2017-08-21

Fund

Supported by National Natural Science Foundation of China (11475186) and Sino-German CRC 110 (NSFC 11621131001)

Article Metric

Article Views(1580)
PDF Downloads(24)
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

Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian

Corresponding author: Fangcheng He,

Corresponding author: Ping Wang,

HTML

目录