THE FEYNMAN RULES OF COLLECTIVE BAG-QUARK CURRENT AND HADRON TIME-LIKE STRUCTURE FUNCTIONS

WANG Xing-Min

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1984, Vol. 8> Issue(2) : 148-157

THE FEYNMAN RULES OF COLLECTIVE BAG-QUARK CURRENT AND HADRON TIME-LIKE STRUCTURE FUNCTIONS

WANG Xing-Min ^,

Hangzhou University

Abstract
HTML
Reference
Related

PDF

Abstract：
In this article some Feynman rules in the method of collective bag-quark current are given, and, by use of these rules, the zeroth-order transition matrix elements of various photon-hadron processes are obtained. Then the structure functions of nucleons and pions in the processes of deep-inelastic electron-positron annihilation are calculated. The time-like structure functions thus obtained have Bjorken scaling, satisfy Collan-Gross relation, vanish when x=q²/2p﹒q<1, and F₁≡W₁≥0, F₂≡v/M W₂≤0 when x≥1. All these characteristics are required by definition. Besides, a counting rule is obtained for the time-like structure functions, i.e., F₁(x~1)∝(x－1)^3N-2, which is quite symmetric with the one we obtained for the space-like structure functions.

References

[1]

汪醒民、宋孝同、殷鹏程, 高能物理与核物理, 6(1982), 560.[2] 同上, 6(1983), 160.[3] A. Chodos et al., Phys. Rev., D10(1974), 2599.[4] T. DeGrand et al., Phys. Rev., D12(1975), 2060.[5] M. V. Barnhill III, Phys. Rev., D20(1979), 723.[6] R. L. Jaffe, Phys. Rev., D11(1975), 1953.[7] S. D. Drell, D. J. Lery and T. M. Yan, Phys. Rev., 187(1969), 2159; D1(1970), 1035; Dl(1970).1617.[8] F. E. Close, in Fundamentals of Quark Model SUGSP (1977).[9] J. F. Donoghue and K. Johson, Phys. Rev., D21(1980), 1975.

[1]	GAO Yong-Hua , DUAN Chun-Gui , HOU Zhao-Yu , HE Zhen-Min . Nuclear Density Empicical Formula of the Nucleus and the Nuclear Effect of the Nucleon Structure Function. Chinese Physics C, 2004, 28(3): 290-293.
[2]	DUAN Chun-Gui , SHI Li-Jie , LI Guang-Lie , YANG Jian-Jun . Nuclear Effects on Polarized Structure Function of Deuteron. Chinese Physics C, 2004, 28(2): 167-170.
[3]	XIAO Jun , CHENG Luan , WANG En-Ke . A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism. Chinese Physics C, 2004, 28(7): 690-695.
[4]	HUA Jing , MA Bo-Qiang . Meson Fragmentation Functions in the Field-Feynman Model. Chinese Physics C, 2003, 27(11): 954-959.
[5]	DONG Yu-Bing . Higher-Twist Effects on the Nucleon Spin Structure Functions in the Small Q² Range. Chinese Physics C, 2001, 25(8): 720-724.
[6]	DONG Yu-Bing . Effects of Interference Cross Section on Nucleon Spin Structure Function. Chinese Physics C, 2001, 25(5): 388-393.
[7]	Yao Xueyi , Chen Guoming , Chen Gang , Chen Hesheng , Tang Xiaowei . Measurement of Structure Function of τ→π^±2π⁰v. Chinese Physics C, 1999, 23(1): 10-16.
[8]	Duan Chungui , He Zhenmin , Zhang Ligang , Xue Dali , Li Guanglie . Leakage and Overlap of the Partons Inside Nucleon and theNuclear Effect on the Nucleon Structure Function. Chinese Physics C, 1998, 22(8): 726-731.
[9]	Dong Yubing . Polarized Structure Functions in the Resoance Region andHigher-Twist Effects. Chinese Physics C, 1998, 22(8): 713-717.
[10]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[11]	HE Zhen-Min , HOU Yun-Zhi . NUCLEAR EFFECT ON THE NUCLEON STRUCTURE FUNCTIONS AND HIGH P_T JET PRODUCTION IN p-Fe COLLISIONS. Chinese Physics C, 1988, 12(3): 336-340.
[12]	WU Ji-Min . QCD PREDICTIONS FOR WEAK NEUTRAL CURRENT STRUCTURE FUNCTIONS. Chinese Physics C, 1987, 11(4): 558-562.
[13]	LONG Ming , HUANG Tao . A POSSIBLE FORM OF THE PION'S STRUCTURE FUNCTION. Chinese Physics C, 1986, 10(5): 562-569.
[14]	LONG Ming . AN APPROACH TO THE STRUCTURE FUNCTION FOR UNCLEON. Chinese Physics C, 1986, 10(5): 632-635.
[15]	XU Zai-Xin . POLARIZED PHOTON STRUCTURE FUNCTIONS. Chinese Physics C, 1985, 9(6): 760-764.
[16]	LU Jing-Xian . A METHOD FOR CALCULATING PHOTON STRUCTURE FUNCTION IN DEEP INELASTIC SCATTERING. Chinese Physics C, 1985, 9(6): 697-702.
[17]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . A METHOD FOR DIRECTLY COMPUTING QCD PREDICTION FOR VALENCE QUARK DISTRIBUTION FUNCTION OF THE HADRONS IN A REASONABLE APPROXIMATION. Chinese Physics C, 1983, 7(2): 170-177.
[18]	WANG Xing-Min , SONG Xiao-Tong , YIN Peng-Cheng . THE REGGE-CORRECTION AND THE SCALING VIOLATION OF HADRION STRUCTURE FUNCTIONS IN BAG MODEL. Chinese Physics C, 1983, 7(2): 160-169.
[19]	WANG XING-MIN , SONG XIAO-TONG , YIN PENG-CHENG . THE COLLECTIVE MOTION OF THE BAG AND THE NUCLEON STRUCTURE FUNCTIONS. Chinese Physics C, 1982, 6(5): 560-569.
[20]	LIU HAN-ZHAO . FINE STRUCTURES OF INCLUSIVE SPECTRA(Ⅰ)——SUM RULES AND THE GENERALIZATION OF FEYNMAN-YANG SCALING. Chinese Physics C, 1979, 3(1): 19-26.

Access

Get Citation

WANG Xing-Min. THE FEYNMAN RULES OF COLLECTIVE BAG-QUARK CURRENT AND HADRON TIME-LIKE STRUCTURE FUNCTIONS[J]. Chinese Physics C, 1984, 8(2): 148-157.

WANG Xing-Min. THE FEYNMAN RULES OF COLLECTIVE BAG-QUARK CURRENT AND HADRON TIME-LIKE STRUCTURE FUNCTIONS[J]. Chinese Physics C, 1984, 8(2): 148-157. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(1992)
PDF Downloads(472)
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

THE FEYNMAN RULES OF COLLECTIVE BAG-QUARK CURRENT AND HADRON TIME-LIKE STRUCTURE FUNCTIONS

WANG Xing-Min ^,

Corresponding author: WANG Xing-Min,

Hangzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-04-05

Abstract: In this article some Feynman rules in the method of collective bag-quark current are given, and, by use of these rules, the zeroth-order transition matrix elements of various photon-hadron processes are obtained. Then the structure functions of nucleons and pions in the processes of deep-inelastic electron-positron annihilation are calculated. The time-like structure functions thus obtained have Bjorken scaling, satisfy Collan-Gross relation, vanish when x=q²/2p﹒q<1, and F₁≡W₁≥0, F₂≡v/M W₂≤0 when x≥1. All these characteristics are required by definition. Besides, a counting rule is obtained for the time-like structure functions, i.e., F₁(x~1)∝(x－1)^3N-2, which is quite symmetric with the one we obtained for the space-like structure functions.