Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions

WANG Fan; CHEN Xiang-Song; SUN Wei-Min

doi:10.1088/1674-1137/33/12/023

Chinese Physics C> 2009, Vol. 33> Issue(12) : 1197-1204 DOI: 10.1088/1674-1137/33/12/023

Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions

Abstract
HTML
Reference
Related

PDF

Abstract：
It is unavoidable to deal with the quark and gluon momentum and angular momentum contributions to the nucleon momentum and spin in the study of nucleon internal structure. However we never have the quark and gluon momentum, orbital angular momentum and gluon spin operators which satisfy both the gauge invariance and the canonical momentum and angular momentum commutation relation. The conflicts between the gauge invariance and canonical quantization requirement of these operators are discussed. A new set of quark and gluon momentum, orbital angular momentum and spin operators, which satisfy both the gauge invariance and canonical momentum and angular momentum commutation relation, are proposed. The key point to achieve such a proper decomposition is to separate the gauge field into the pure gauge and the gauge covariant parts. The same conflicts also exist in QED and quantum mechanics and have been solved in the same manner. The impacts of this new decomposition to the nucleon internal structure are discussed.

References

[1]

. Strocchi F, Wightman A S. J. Math. Phys., 1974, 15:2198-22242. CHEN X S, Wang F. hep-ph/98023463. Jauch J M, Rohrlich F. The Theory of Photons and Electrons. Berlin: Springger, 1976. Berestetskii V B, Lif-shitz E M, Pitaevskii L P. Quantum Electrodynamics. Ox-ford: Pergamon, 1982. Cohen-Tannoudji C, Dupont-Roc J,Grynberg G. Photons and Atoms. New York: Wiley, 19874. Goldman T. Phys. Rev. D, 1977, 15: 1063-10675. CHEN X S, LU X F, SUN W M, WANG F, Goldman T.Phys. Rev. Lett., 2008, 100: 232002-1-46. JI X D. Phys. Rev. Lett. 1997, 78: 610-613; CHEN X S,WANG F. Commun. Theor. Phys., 1997, 27: 121-1247. JI X, TANG J, Hoodbhoy P. Phys. Rev. Lett., 1996, 76:740-743

[1]	Ya-Juan Tian , Tai-Hua Heng , Zhong-Ming Niu , Quan Liu , Jian-You Guo . Exploration of resonances by using complex momentum representation. Chinese Physics C, 2017, 41(4): 044104. doi: 10.1088/1674-1137/41/4/044104
[2]	Alireza Aleedaneshvar , Muhammad Goharipour , Saeedeh Rostami . Uncertainty of parton distribution functions due to physical observables in a global analysis. Chinese Physics C, 2017, 41(2): 023101. doi: 10.1088/1674-1137/41/2/023101
[3]	A. Mirjalili , K. Keshavarzian . Meson polarized distribution function and mass dependence ofthe nucleon parton densities. Chinese Physics C, 2014, 38(8): 083101. doi: 10.1088/1674-1137/38/8/083101
[4]	LIU Xin , WANG You-Bao , LI Zhi-Hong , JIN Sun-Jun , WANG Bao-Xiang , LI Yun-Ju , LI Er-Tao , BAI Xi-Xiang , GUO Bing , SU Jun , ZENG Sheng , YAN Sheng-Quan , LIAN Gang , HUANG Wu-Zhen , LIU Wei-Ping . Angular distribution of ⁶He+p elastic scattering. Chinese Physics C, 2012, 36(8): 716-720. doi: 10.1088/1674-1137/36/8/006
[5]	WANG Hong-Min , HOU Zhao-Yu , LIU Jia-Fu , SUN Xian-Jing . Charm structure functions and gluon shadowing effects with the AdS/CFT model. Chinese Physics C, 2012, 36(8): 691-696. doi: 10.1088/1674-1137/36/8/002
[6]	JIA Lu-Kui , MAO Ze-Pu , LI Wei-Dong , CAO Guo-Fu , CAO Xue-Xiang , DENG Zi-Yan , HE Kang-Lin , LIU Chun-Yan , LIU Huai-Min , LIU Qiu-Guang , MA Qiu-Mei , MA Xiang , QIU Jin-Fa , TIAN Hao-Lai , WANG Ji-Ke , WU Ling-Hui , YUAN Ye , ZANG Shi-Lei , ZHANG Chang-Chun , ZHANG Lei , ZHANG Yao , ZHU Kai , ZOU Jia-Heng . Study of low momentum track reconstruction for the BESⅢ main drift chamber. Chinese Physics C, 2010, 34(12): 1866-1873.
[7]	WANG Fan , CHEN Xiang-Song , LU Xiao-Fu , SUN Wei-Min . Gauge invariance and quantization applied to atom and nucleon internal structure. Chinese Physics C, 2010, 34(9): 1312-1319. doi: 10.1088/1674-1137/34/9/031
[8]	SHAO Li-Jing , ZHANG Yun-Hua , MA Bo-Qiang . Parton distribution functions and nuclear EMC effect in a statistical model. Chinese Physics C, 2010, 34(9): 1417-1420. doi: 10.1088/1674-1137/34/9/059
[9]	DU Jia-Xin , KE Hong-Wei , XU Ming-Mei , LIU Lian-Shou . Characterizing variable for the critical point in momentum space. Chinese Physics C, 2009, 33(8): 655-660. doi: 10.1088/1674-1137/33/8/011
[10]	JIN Hua , SUN Zhen-Wu , ZHENG Ren-Rong . Influence of angular momentum in axially symmetric potentials with octupole deformation. Chinese Physics C, 2009, 33(9): 759-763. doi: 10.1088/1674-1137/33/9/009
[11]	WANG Yan-Zhao , ZHANG Hong-Fei , GAO Yong-Hua , HOU Zhao-Yu , DONG Jian-Min , DUAN Chun-Gui , ZUO Wei . Quark distributions in nuclei and nuclear effects on nucleon structure functions. Chinese Physics C, 2009, 33(4): 263-268. doi: 10.1088/1674-1137/33/4/005
[12]	YE Wei , WU Feng . Influence of angular momentum on evaporation residue cross section as a probe of nuclear dissipation. Chinese Physics C, 2008, 32(6): 433-436. doi: 10.1088/1674-1137/32/6/004
[13]	JIA Bei , LI Xi-Guo , ZHANG Peng-Ming . Angular momentum of a brane-world model. Chinese Physics C, 2008, 32(11): 865-867. doi: 10.1088/1674-1137/32/11/003
[14]	Yang Jianjun , Ma Boqiang , Li Guanglie . Nonperturbative Quark Propagator and Study of Nontrivial Q-Dependence in Nucleon Structure Functions. Chinese Physics C, 1997, 21(S1): 471-482.
[15]	He Zhenmin , Lin Zhongjin , Qin Kecheng , Peng Hongan . On the Testing of Models of the Pomeron Structure (Parton Distribution Functions). Chinese Physics C, 1995, 19(S2): 173-182.
[16]	Yu Hong , Shen Qixin . Helicity Formalism of the Angular Distribution for the J/ψ Hadronic Decay Processes. Chinese Physics C, 1990, 14(S3): 259-263.
[17]	Dai Guangxi , Qi Yujin , Zheng Jiwen , Liu Ximing , Chen Yuanda , R. Stokstad , J. Pouliot , A. Harmon , D. Digregorio . Fission Measurement on 5.5 to 22 MeV/A ²⁸Si + ¹⁹⁷Au Systems (I) Linear Momentum Transfer and Angular Distribution off Reaction Plane. Chinese Physics C, 1990, 14(S4): 399-406.
[18]	Li Guanglie , K. F. Liu . Contribution of the Energy-Momentum Distribution of Nucleons in Nuclei to the EMC Effect. Chinese Physics C, 1989, 13(S1): 69-78.
[19]	He Zhenmin , Hou Yunzhi . Nuclear Effect on the Nucleon Structure Functions and High P_T Jet Production in p-Fe Collisions. Chinese Physics C, 1988, 12(S3): 245-250.
[20]	Li Zibang , Peng Hongan . Statistical Model for Partons in Nucleon, EMC Effect and Gluon Distribution Functions of Nucleon Inside Nuclei. Chinese Physics C, 1988, 12(S2): 165-174.

Access

Get Citation

WANG Fan, CHEN Xiang-Song, SUN Wei-Min and Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions[J]. Chinese Physics C, 2009, 33(12): 1197-1204. doi: 10.1088/1674-1137/33/12/023

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2009-08-07
Revised: 1900-01-01

Article Metric

Article Views(2827)
PDF Downloads(590)
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

Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions

Corresponding author: WANG Fan,

Received Date: 2009-08-07

Accepted Date: 1900-01-01

Available Online: 2009-12-05

Abstract:

It is unavoidable to deal with the quark and gluon momentum and angular momentum contributions to the nucleon momentum and spin in the study of nucleon internal structure. However we never have the quark and gluon momentum, orbital angular momentum and gluon spin operators which satisfy both the gauge invariance and the canonical momentum and angular momentum commutation relation. The conflicts between the gauge invariance and canonical quantization requirement of these operators are discussed. A new set of quark and gluon momentum, orbital angular momentum and spin operators, which satisfy both the gauge invariance and canonical momentum and angular momentum commutation relation, are proposed. The key point to achieve such a proper decomposition is to separate the gauge field into the pure gauge and the gauge covariant parts. The same conflicts also exist in QED and quantum mechanics and have been solved in the same manner. The impacts of this new decomposition to the nucleon internal structure are discussed.

HTML

Reference (1)

Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article