A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION

ZHU Wei; SHEN Jian-Guo

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2024年10月30日

Chinese Physics C> 1983, Vol. 7> Issue(3) : 316-322

A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION

ZHU Wei ^, ,
SHEN Jian-Guo

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Abstract：
In this paper the forms of the gluon distribution function at different Q² are discussed with the aid of the three-quarks model associated with dynamical calculations of QCD (the LLA approximation). The Buras-Gaemers parametrization is improved and the gluon distribution functions are obtained. It can be described by a simple parameter form: xG(x, Q²)=xG₁(x, Q²)+xG₂(x, Q²)=[1+B(s)]1(Q²)>2(1-x)^[B(s)]+[1+D(s)]2)>(1-x)^D(s), The form satisfies the QCD evolution equations and does not contradict evidently with existing experimental data. Then the properties of the constituent gluons in a nucleon are analyzed on these basis and it is indicated that the gluon distribution function could be considered as to be made of two different parts-soft and hard parts.

References

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M. Gliick and E. Reya, Nucl. Phys., B156(1979), 456.[2] T. Weiler, Phys. Rev. Lett., 44(1980), 304.[3] M. Glück and E. Reya, Nucl. Phys., B145(1978), 24.[4] A. J. Buras and B. J. F. Gaemera, Nucl. Phys., B132(1978),[5] G. Altarelli and G. Parisi, Nucl. Phys., B126(1977), 298.[6] E. Reya, Phys. Rev, 69(1981), 239.[7] P. C. Hwa, Phys. Rev., D22(1980), 759.[8] R. C. Hwa, M. Sajiad Zahir, Phys. Rev., D23(1981), 2539.[9] D. W. Duke .and J. Foweus, Ref. T. H. 3059 CERN, May 29. 1981.[10] T. Weiler, Phys. Rev. Lett., 44(1980), 304.[11] 社东生, Phys. Lett., 89B(1980), 232.[12] H. E. Stier, Acta Physica Austriaca Suppl. XXII(1980), 587, Springre-V erlag (19801).

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ZHU Wei and SHEN Jian-Guo. A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION[J]. Chinese Physics C, 1983, 7(3): 316-322.

ZHU Wei and SHEN Jian-Guo. A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION[J]. Chinese Physics C, 1983, 7(3): 316-322. shu

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Received: 1900-01-01
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

A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION

ZHU Wei ^,
SHEN Jian-Guo

Corresponding author: ZHU Wei,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-06-05

Abstract: In this paper the forms of the gluon distribution function at different Q² are discussed with the aid of the three-quarks model associated with dynamical calculations of QCD (the LLA approximation). The Buras-Gaemers parametrization is improved and the gluon distribution functions are obtained. It can be described by a simple parameter form: xG(x, Q²)=xG₁(x, Q²)+xG₂(x, Q²)=[1+B(s)]1(Q²)>2(1-x)^[B(s)]+[1+D(s)]2)>(1-x)^D(s), The form satisfies the QCD evolution equations and does not contradict evidently with existing experimental data. Then the properties of the constituent gluons in a nucleon are analyzed on these basis and it is indicated that the gluon distribution function could be considered as to be made of two different parts-soft and hard parts.