THE COLLECTIVE MOTION OF THE BAG AND THE NUCLEON STRUCTURE FUNCTIONS

WANG XING-MIN; SONG XIAO-TONG; YIN PENG-CHENG

Chinese Physics C> 1982, Vol. 6> Issue(5) : 560-569

THE COLLECTIVE MOTION OF THE BAG AND THE NUCLEON STRUCTURE FUNCTIONS

Abstract
HTML
Reference
Related

PDF

Abstract：
Using the hypothesis of the bag-quarks' wave-function with the property of transla-tion invariance, and introducing a Lorentz-invariant effective Lagrangian, we have cal-culated the nucleon deep -inelastic structure functions In our calculation the4-momentum conservation is satisfied automatically, while the resultant structurefunctions are positive-definite and vanish when x>1. Furthermore, using the assumptionof the asymptotic freedom, we obtain explicitly the Bjorken scaling, the approximateexpession F₁ (x～1)∝(1--x)⁴, and by the way, a new counting rule Computercalculation gives the F₂(x) curve which seems to be consistent with the data in therange of 0.4<x<1.

References

[1]

A. Chodos, R. L. Jaffe, K. Johnson C. B. Thorn and V. F.Weisekopf, Phys. Rev., D9 (1974),3471.[2] A. Chodos,R.L. Jaffe, 8. Johnson and O. B. Thorn. Phys. Rev., D10(1974), 2599.[3] T. DeGrand, R. L. Jaffe, H. Johnson and J. kiskis, Phys. Rev., Dls(19'15), 2060.[4] M.V. Barnhill III, W. S. Cheng and A. Halprin, Phys. Rev., D20(1979j, 723.[5] Y. Gunduc. A. J. G. Hey and P. J. Walter, Phys. Rev., DZl(1980), 271.[6] J. F. Donoghue and H. Johnson, Phys. Rev., D21(1980), 1975.[7] 刘连寿、蔡易、杨仲禾, 科学通报,26(1981), 465,[8] R. L. Jaffe, Phys. Rev., D11 (1975), 1953.[9] R. L. Jaffe and A. Patrasnoniu, Phys. Rev., D12 (1975), 1314.[10] F. E. Ciose, Rep. Prog. Phys., V42(1979), 1315.[11] F. E. Ciose,"High Momentum Transter Physics" in I. M. Barbour A. T. Daries ed. "Fundamwntals of guark Moder" Scottish Universitis Summer School in Physics (1979).

[1]	LANG Xiao-Li , WU Shi-Shu . Influence of the Nucleon Struture on Nuclear Matter. Chinese Physics C, 2006, 30(S2): 224-226.
[2]	LI Kang , WANG Jian-Hua . Green Function Solution to the Doublet Potential Equations of the Moving Dyons. Chinese Physics C, 2005, 29(8): 731-735.
[3]	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.
[4]	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.
[5]	DONG Yu-Bing . Effects of Interference Cross Section on Nucleon Spin Structure Function. Chinese Physics C, 2001, 25(5): 388-393.
[6]	Dong Yubing . Polarized Structure Functions in the Resoance Region andHigher-Twist Effects. Chinese Physics C, 1998, 22(8): 713-717.
[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]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of QED in Canonical Form(Ⅰ) Equations of Motion for Correlation Green's Functions. Chinese Physics C, 1996, 20(1): 48-54.
[10]	LIU Jian-Ye , TAN Nan-Hong , QIAO Wei-Min . THE ROLE OF NUCLEAR STRUCTURE EFFECTS ON THE NUCLEON EXCHANGE PROCESS IN DISSIPATIVE HEAVY-ION COLLISIONS. Chinese Physics C, 1989, 13(11): 1032-1038.
[11]	CHEN Ying-Yang , HE Zhen-Min , HOU Yun-Zhi . EFFECT OF NUCLEAR EFFECT ON THE NUCLEON STRUCTURE FUNCTIONS UPON HIGH P_T DIRECT PHOTON PRODUCTIONS IN p-Al COLISIONS. Chinese Physics C, 1989, 13(9): 796-802.
[12]	LIN Xin-Wei , LIAO Bo-Qin , TANG Xiang-Hong , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CRANKED SHELL MODEL WAVE FUNCTION (Ⅱ) ODD-A NUCLEI. Chinese Physics C, 1988, 12(6): 807-813.
[13]	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.
[14]	LONG Ming , HUANG Tao . A POSSIBLE FORM OF THE PION'S STRUCTURE FUNCTION. Chinese Physics C, 1986, 10(5): 562-569.
[15]	LU Jing-Xian . A METHOD FOR CALCULATING PHOTON STRUCTURE FUNCTION IN DEEP INELASTIC SCATTERING. Chinese Physics C, 1985, 9(6): 697-702.
[16]	XU Zai-Xin . POLARIZED PHOTON STRUCTURE FUNCTIONS. Chinese Physics C, 1985, 9(6): 760-764.
[17]	WANG Xing-Min . THE FEYNMAN RULES OF COLLECTIVE BAG-QUARK CURRENT AND HADRON TIME-LIKE STRUCTURE FUNCTIONS. Chinese Physics C, 1984, 8(2): 148-157.
[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]	HE HAN-XING , ZHUO YI-ZHONG , SA BEN-HAO . QCD PERTURBATION THEORY FOR CONFINED QUARKS AND NUCLEI——(2) THE STRUCTURE OF THE NUCLEON-MESON COUPLING. Chinese Physics C, 1982, 6(2): 231-242.
[20]	SONG XIAO-TONG , WANG MIN-CHANO . THE DOUBLE SPECTRAL FUNCTIONS OF PHOTON-NUCLEON SCATTERING AND INELASTIC CROSS-SECTIONS OF γ+p→p+π⁺+π^-. Chinese Physics C, 1981, 5(3): 282-291.

Access

Get Citation

WANG XING-MIN, SONG XIAO-TONG and YIN PENG-CHENG. THE COLLECTIVE MOTION OF THE BAG AND THE NUCLEON STRUCTURE FUNCTIONS[J]. Chinese Physics C, 1982, 6(5): 560-569.

WANG XING-MIN, SONG XIAO-TONG and YIN PENG-CHENG. THE COLLECTIVE MOTION OF THE BAG AND THE NUCLEON STRUCTURE FUNCTIONS[J]. Chinese Physics C, 1982, 6(5): 560-569. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1981-01-21
Revised: 1900-01-01

Article Metric

Article Views(1830)
PDF Downloads(288)
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 COLLECTIVE MOTION OF THE BAG AND THE NUCLEON STRUCTURE FUNCTIONS

Received Date: 1981-01-21
Accepted Date: 1900-01-01
Available Online: 1982-10-05

Abstract: Using the hypothesis of the bag-quarks' wave-function with the property of transla-tion invariance, and introducing a Lorentz-invariant effective Lagrangian, we have cal-culated the nucleon deep -inelastic structure functions In our calculation the4-momentum conservation is satisfied automatically, while the resultant structurefunctions are positive-definite and vanish when x>1. Furthermore, using the assumptionof the asymptotic freedom, we obtain explicitly the Bjorken scaling, the approximateexpession F₁ (x～1)∝(1--x)⁴, and by the way, a new counting rule Computercalculation gives the F₂(x) curve which seems to be consistent with the data in therange of 0.4<x<1.