Statistical Model for Partons in Nucleon, EMC Effect and Gluon Distribution Functions of Nucleon Inside Nuclei

Li Zibang; Peng Hongan

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2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(S2) : 165-174

Statistical Model for Partons in Nucleon, EMC Effect and Gluon Distribution Functions of Nucleon Inside Nuclei

Li Zibang ¹ ,
Peng Hongan ²

1 Liaoning Normal University
2 Peking University

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Abstract：
Assuming a nucleon as a thermodynamical system composed of partons (quarks and gluons), We discussed its temperature and chemical potential. We also derived the relations between the fractional momentum x distribution of the partons in nucleon and its corresponding statistical distribution. By analogy of the gluons in nucleon with the photons in the black-body, we calculated the effective temperature of the nucleon. Assuming the chemical potential of u, d quark to be the same and setting the reasonable values, we determined the variations of the temperature of nucleon in nucleus by using rescaling scheme. Thus, statistical model could explain the EMC effect quite well. If the chemical potential of gluons is small and negative, the statistical model can also explain the "largeness" of the ratio of the giuon distribution between bounded nucleon and free nucleon in the virtual photoprcxiuction process of J/ψ in the small x region.

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[11]	WANG Fan , CHEN Xiang-Song , SUN Wei-Min , . Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions. Chinese Physics C, 2009, 33(12): 1197-1204. doi: 10.1088/1674-1137/33/12/023
[12]	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.
[13]	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.
[14]	Shuanquan Luo , Cheng-Shing Wang . Thomas-Fermi Statistical Model Theory for the Surface Energy of Hot Nuclei. Chinese Physics C, 1995, 19(S2): 199-205.
[15]	Shen Xiaoyan , Shen Pengnian , Yu Youwen , Zhang Zongye . Color Screening Effect and Nucleon-Nucleon Interaction. Chinese Physics C, 1993, 17(S2): 207-213.
[16]	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.
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[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 Zi-Bang , PENG Hong-An . STATISTICAL MODEL OF PARTONS IN NUCLEON,EMC EFFECT AND GLUE DISTRIBUTION FUNCTIONS OF NUCLEON. Chinese Physics C, 1988, 12(1): 55-62.

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Li Zibang and Peng Hongan. Statistical Model for Partons in Nucleon, EMC Effect and Gluon Distribution Functions of Nucleon Inside Nuclei[J]. Chinese Physics C, 1988, 12(S2): 165-174.

Li Zibang and Peng Hongan. Statistical Model for Partons in Nucleon, EMC Effect and Gluon Distribution Functions of Nucleon Inside Nuclei[J]. Chinese Physics C, 1988, 12(S2): 165-174. shu

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Received: 1986-09-08

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The project supported by 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

Statistical Model for Partons in Nucleon, EMC Effect and Gluon Distribution Functions of Nucleon Inside Nuclei

Li Zibang ^1,
Peng Hongan ^2,

1 Liaoning Normal University
2 Peking University

Received Date: 1986-09-08

Fund Project: The project supported by National Natural Science Foundation of China

Abstract: Assuming a nucleon as a thermodynamical system composed of partons (quarks and gluons), We discussed its temperature and chemical potential. We also derived the relations between the fractional momentum x distribution of the partons in nucleon and its corresponding statistical distribution. By analogy of the gluons in nucleon with the photons in the black-body, we calculated the effective temperature of the nucleon. Assuming the chemical potential of u, d quark to be the same and setting the reasonable values, we determined the variations of the temperature of nucleon in nucleus by using rescaling scheme. Thus, statistical model could explain the EMC effect quite well. If the chemical potential of gluons is small and negative, the statistical model can also explain the "largeness" of the ratio of the giuon distribution between bounded nucleon and free nucleon in the virtual photoprcxiuction process of J/ψ in the small x region.