THE COLLECTIVE MOTION OF THE BAG AND THE NUCLEON STRUCTURE FUNCTIONS

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

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2024年10月30日

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

THE COLLECTIVE MOTION OF THE BAG AND THE NUCLEON STRUCTURE FUNCTIONS

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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).

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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

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

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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.