WARD IDENTITIES AND ELECTRON DEEP INELASTIC SCATTERING PROCESSES

LI BING-AN

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(4) : 393-399

WARD IDENTITIES AND ELECTRON DEEP INELASTIC SCATTERING PROCESSES

LI BING-AN

Institute of High Energy Physics,Academia Sinica

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Abstract：
Electron deep inelastic scattering processes are discussed using the method de-veloped in previous paper [1].General expressions of the irreducible diagrams ofthe structure functions are obtained.The relations between these irreducible diagramsand the kernels of the nucleon's B-S equations and the nucleon's transition matrixelements of the electric current are given by through Ward Identities.Neglectingthe contribution from the straton loop diagrams and using the potential assumptionfor the kernel of the equation,expressions of the structure functions and their calcu-lating method are given.The structure functions can be computed by using thekernel of the equations and solved wave functions.

References

[1]	李炳安，高能物理与核物理，3 (1979), 141.[2] S. Mandelstam. Proc. Roy. Soc., 233 (1955), 248.[3] David Lurie, "Particle and Fields", 437, Interscience, 1968.

[1]	LI Zi-Ping , LI Rui-Jie . Generalized Ward Identities for Non-local Transformation. Chinese Physics C, 2002, 26(2): 122-128.
[2]	LI Zi-Ping . Non-local Quantal Noether Identities and Their Applications. Chinese Physics C, 2002, 26(12): 1214-1222.
[3]	Peng Hongan , Xu Jiasheng . New Progresses in Deep Inelastic Scattering in Small x Region. Chinese Physics C, 1999, 23(2): 142-150.
[4]	Zhou Yufeng , Peng Hongan , Liu Lianshou . Large Rapidity GaP Events and Reggeon in DIS. Chinese Physics C, 1999, 23(8): 790-796.
[5]	Mao Guangjun , Li Zhuxia , Zhuo Yizhong , Yu Ziqiang . In-medium Nucleon-Nucleon Inelastic Scattering Cross Section(Ⅰ). Chinese Physics C, 1995, 19(6): 540-547.
[6]	Mao Guangjun , Li Zhuxia , Zhuo Yizhong , Yu Ziqiang . Cross Section of In-medium Nucleon-Nucleon Inelastic Scattering (Ⅱ). Chinese Physics C, 1995, 19(7): 628-636.
[7]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[8]	MA Bo-Qiang , SUN Ji . DIFFERENT TREATMENTS OF NUCLEAR BINDING EFFECT IN DEEP INELASTIC LEPTON NUCLEUS SCATTERING. Chinese Physics C, 1988, 12(6): 786-792.
[9]	GUO Zhong-Yan , SHEN Wen-Qing , ZHU Yong-Tai , QIAO Wei-Min , YIN Shu-Zhi , ZHAN Wen-Long , WU En-Jiu . THE RESEARCH OF DIC PROCESS INDUCED BY 92MeV AND 77MeV ¹⁴N AND ²⁷Al. Chinese Physics C, 1987, 11(4): 496-504.
[10]	WANG Zheng-Ben . THE BEHAVIOR OF PARTONS OF LARGE TRANSVERSE MOMENTUM IN DEEP INELASTIC SCATTERING. Chinese Physics C, 1986, 10(5): 536-544.
[11]	LI Jun-Qing , ZHU Jie-Ding , WANG Zheng-Da , YANG Shi-Jun . ANGULAR MOMENTUM CORRELATION OF FRAGMENTS IN DEEP INELESTIC COLLISIONS. Chinese Physics C, 1985, 9(5): 603-610.
[12]	LU Jing-Xian . A METHOD FOR CALCULATING PHOTON STRUCTURE FUNCTION IN DEEP INELASTIC SCATTERING. Chinese Physics C, 1985, 9(6): 697-702.
[13]	WANG Zheng-Ben . THE EFFECTS OF THE CHARM STATE IN e-p DEEP INELASTIC SCATTERING. Chinese Physics C, 1984, 8(5): 548-553.
[14]	MAO Zhen-Lin . RADIATIVE CORRECTIONS TO THE DEEP INEIASTIC POLARIZED E-P SCATTERING. Chinese Physics C, 1984, 8(1): 1-9.
[15]	ZENG Bao-Sheng , HUANG Qing , GONG Xue-Hui . MESON AND DI-QUARK CONTRIBUTION TO R(σ_L/σ_T) IN DEEP INELASTIC SCATTERING. Chinese Physics C, 1984, 8(2): 235-240.
[16]	XIE Kuan-Zhong , CHEN Xue-Shi , ZHOU Sheng-Mo . ⁸⁷Sr(n, n')^87mSr INELASTIC SCATTERING. Chinese Physics C, 1983, 7(4): 462-465.
[17]	Shen Qi-xing , Li Bing-an , Yu Hong , Zhang Mei-man . DEEP INELASTIC SCATTERING PROCESSES OF THE NEUTRINOS ON POLARIZED NUCLEONS. Chinese Physics C, 1980, 4(4): 417-422.
[18]	Shen Qi-xing , Zhang Mei-man , Li Bing-an , Yu Hong . DEEP INELASTIC SCATTERING PROCESSES OF THE ELECTRONS ON POLARIZED NUCLEONS AND POLARIZATION EFFECTS IN THE PROCESSES OF HEAVY LEPTONS PAIR PRODUCTION. Chinese Physics C, 1980, 4(5): 545-554.
[19]	LI BING-AN . WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS. Chinese Physics C, 1979, 3(2): 141-151.
[20]	LI BING-AN , SHEN QI-XING , YU HONG , ZHANG MEI-MAN . THE DEEP INELASTIC SCATTERING PROCESSES OF THE POLARIZED ELECTRONS ON POLARIZED PROTONS. Chinese Physics C, 1979, 3(6): 723-733.

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LI BING-AN. WARD IDENTITIES AND ELECTRON DEEP INELASTIC SCATTERING PROCESSES[J]. Chinese Physics C, 1979, 3(4): 393-399.

LI BING-AN. WARD IDENTITIES AND ELECTRON DEEP INELASTIC SCATTERING PROCESSES[J]. Chinese Physics C, 1979, 3(4): 393-399. shu

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Received: 1978-01-25
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

WARD IDENTITIES AND ELECTRON DEEP INELASTIC SCATTERING PROCESSES

LI BING-AN

Institute of High Energy Physics,Academia Sinica

Received Date: 1978-01-25
Accepted Date: 1900-01-01
Available Online: 1979-08-05

Abstract: Electron deep inelastic scattering processes are discussed using the method de-veloped in previous paper [1].General expressions of the irreducible diagrams ofthe structure functions are obtained.The relations between these irreducible diagramsand the kernels of the nucleon's B-S equations and the nucleon's transition matrixelements of the electric current are given by through Ward Identities.Neglectingthe contribution from the straton loop diagrams and using the potential assumptionfor the kernel of the equation,expressions of the structure functions and their calcu-lating method are given.The structure functions can be computed by using thekernel of the equations and solved wave functions.