Q2 and x-Rescaling Meehanisms and the Nuclear Momentum Conservation in the EMC Effect

Li Guanglie; K F. Liu

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(S3) : 263-272

Q² and x-Rescaling Meehanisms and the Nuclear Momentum Conservation in the EMC Effect

Li Guanglie ¹ ,
K F. Liu ²

1. Center of Theoretical Physics, CCAST(World Laboratory), Beijing;Institute of High Energy Physics, Chinese Academy of Sciences, Beijing;
2. Department of Physics and Astronomy, University of Kentucky, U. S. A.

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Abstract：
Based upon the consideration of the Fermi motion correction and the nuclear binding effect, the EMC effect can be explained by introducing the Q²- and x-rescaling mechanisms. The experimental data, especially in the region 0.2 < x < 0.5, can be better reproduced by using the x-rescaling mechanism than using the Q²-rescaling mechanism. The problem of the nuclear momentum conservation in the EMC effect is further discussed. In order to make up the 4% nuclear momentum loss, the different Q²- or x-rescaling parameters for the momentum distributions of the valence and sea quarks in the nucleon structure function are chosen. The result shows that, by employing the extended x-rescaling mechanism, a better agreement between the theoretical result and the experimental data in the small x region can be obtained.

[1]	Ali N , Atashbar Tehrani . Jacobi polynomials and non-singlet structure function F₂(x,Q²) up to N³LO. Chinese Physics C, 2010, 34(9): 1479-1481. doi: 10.1088/1674-1137/34/9/077
[2]	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
[3]	GAO Yong-Hua , HE Ming-Zhong , DUAN Chun-Gui . Q²-Rescaling Parameters’Empiric Formula of the Double Q²-Rescaling Model. Chinese Physics C, 2001, 25(6): 533-537.
[4]	Ma Weixing , Li Xiguo , Lu Dinghui . Q²-Dependence of the Gerasimov-Drell-Hearn Sum Rule. Chinese Physics C, 1999, 23(9): 880-889.
[5]	Dong Yubing . On Q-Dependent Behavior of the Polarized Structure Functions in the Resonance Region. Chinese Physics C, 1998, 22(6): 550-555.
[6]	Zhu Yabo , Li Guanglie . A Simple Model Describing EMC Effect,Nuclear Drell-Yan Process and Inelastic J/ψ Production. Chinese Physics C, 1997, 21(9): 806-811.
[7]	Duan Chungui , He Zhenmin , Lin Zhongjin , Li Guanglie . Nuclear Gluon Distributiom in the Extended x-Rescaling Model. Chinese Physics C, 1997, 21(5): 433-437.
[8]	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.
[9]	Zhu Yabo , Li Guanglie . A Simple Model Describing the EMC Effect, Nuclear Dr ell-Yan Process, and Inelastic J/ψ Production. Chinese Physics C, 1997, 21(S3): 79-84.
[10]	Yao Xiaoxia , He Zhenmin , Duan Chungui , Li Guanglie , Peng Hongan . Improved Q²-Rescaling Model and the Nuclear Effect of Parton Distribution Functions. Chinese Physics C, 1997, 21(6): 548-553.
[11]	Yang Jianjun , Zhu Yabo , Shen Hongqing , Shen Jianping , Li Guanglie . Parton Evolution Model and the EMC Effect. Chinese Physics C, 1991, 15(S2): 197-205.
[12]	ZHU Wei , HE Han-Xin . THE EMC EFFECT OF ROTATIONAL NUCLEI. Chinese Physics C, 1990, 14(8): 762-765.
[13]	LI Guang-Lie , . CONTRIBUTION OF THE ENERGY-MOMENTUM DISTRIBUTION NUCLEONS IN NUCLEI TO THE EMC EFFECT. Chinese Physics C, 1989, 13(1): 42-49.
[14]	HOU Yun-Zhi , WANG Yi-Li . THE RELATIVISTIC NUCLEAR MODEL AND EMC EFFECT. Chinese Physics C, 1989, 13(1): 35-41.
[15]	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.
[16]	LI Guang-Lie , LIU Ke-Fei . Q²-AND x- RESCALING AND NUCLEAR MOMENTUM CONSERVATION IN THE EMC EFFECT. Chinese Physics C, 1989, 13(7): 620-626.
[17]	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.
[18]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . THE QCD BEHAVIOURS OF THE XF₃ (X, Q²) UP TO THE LEADING LOG IN THE NEUTRINO DEEPINELASTIC PROCESSES. Chinese Physics C, 1983, 7(3): 309-315.
[19]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . THE BEHAVIOURS OF F₂^ep(X, Q²)-F₂^en(X, Q²) AND THE SCALE-BREAKING PARAMETER. Chinese Physics C, 1983, 7(3): 301-308.
[20]	HUANG CHAO-SHANG . THE LARGE MOMENTUM BEHAVIOR OF THE ELECTROMAGNETIC TRANSITION FORM FACTOR F_A₁π(q²) IN QCD. Chinese Physics C, 1982, 6(2): 168-175.

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Li Guanglie and K F. Liu. Q² and x-Rescaling Meehanisms and the Nuclear Momentum Conservation in the EMC Effect[J]. Chinese Physics C, 1989, 13(S3): 263-272.

Li Guanglie and K F. Liu. Q² and x-Rescaling Meehanisms and the Nuclear Momentum Conservation in the EMC Effect[J]. Chinese Physics C, 1989, 13(S3): 263-272. shu

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Received: 1988-06-16

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Supported by the National Natural Science Foundation of China.

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沈阳化工大学材料科学与工程学院沈阳 110142

Q² and x-Rescaling Meehanisms and the Nuclear Momentum Conservation in the EMC Effect

Li Guanglie ^1,
K F. Liu ^2,

1. Center of Theoretical Physics, CCAST(World Laboratory), Beijing;Institute of High Energy Physics, Chinese Academy of Sciences, Beijing;
2. Department of Physics and Astronomy, University of Kentucky, U. S. A.

Received Date: 1988-06-16

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: Based upon the consideration of the Fermi motion correction and the nuclear binding effect, the EMC effect can be explained by introducing the Q²- and x-rescaling mechanisms. The experimental data, especially in the region 0.2 < x < 0.5, can be better reproduced by using the x-rescaling mechanism than using the Q²-rescaling mechanism. The problem of the nuclear momentum conservation in the EMC effect is further discussed. In order to make up the 4% nuclear momentum loss, the different Q²- or x-rescaling parameters for the momentum distributions of the valence and sea quarks in the nucleon structure function are chosen. The result shows that, by employing the extended x-rescaling mechanism, a better agreement between the theoretical result and the experimental data in the small x region can be obtained.