关于强子中胶子分布函数的QCD预言

本文对Altarelli-Parisi方程采用Mellin变换方法解析地求得胶子分布函数的级数解析表达式,这个级数收敛得很快,利用它讨论了胶子分布函数的演化行为.     

量子色动力学演化方程中的高扭度效应

结合HERA有关核子结构函数与其斜率的实验数据,讨论了在量子色动力学演化方程中存在高扭度重组效应的可能性. 关键词： 结构函数 高扭度效应 演化方程     

LHC能区的部分子分布函数

大型强子对撞机(LHC)能探测到核子中很小x的动力学区域.在此动力学区域部分子的密度很大,根据高扭度修正过的AP演化方程(MDAP方程),分析了此区域的部分子饱和问题.发现在LHC能区不会出现饱和现象,但部分子分布会由于高扭度效应而明显被抑制,出现部分饱和现象.根据MDAP演化方程,还对LHC能区的部分子分布进行了预言     

一种胶子分布函数的动力学模型

本文利用分布函数的动力学模型, 改进了Buras和Gaemers关于胶子分布函数的参数化工作^[4], 得到了一个能较好地满足QCD演化方程(LLA近似)的胶子分布函数的简单参数式. 在这基础上分析了核子中胶子成份的性质, 指出胶子分布函数可以看作由软、硬两个不同部分所组成的.     

非弹性度和集团数在高能极限下的行为

在胶子相互作用模型基础上作了两点改进,把所有部分子的相互作用(qq,qg,gg)都包括进来,并考虑部分子分布函数随能量标度的演化.在没有区分软硬过程的贡献及部分子分布函数的具体形式下,导出了非弹性度和集团数在高能极限下的行为.     

胶子到重夸克偶素的碎裂函数抽取问题讨论

分析胶子到重夸克偶素的碎裂函数使用中, 不同动量分数z的定义所带来的不确定性,用数值方法计算了常用的非协变z定义所给出的有限胶子动量下g→J/ψ的 初始碎裂函数D_g→J/ψ(z,Q₀), 发现非协变定义给出的碎裂函数对胶子动量k有较大的依赖性. 当|k|→∞时,相应碎裂函数趋于光锥定义下的碎裂函数; 但k较小时(如在加速器Tevatron和LHC上产生胶子的典型能动量范围内), 按非协变形式定义和使用碎裂函数会给计算带来较大的不确定性.     

核环境中部分子演化与重组效应下的核内胶子分布

在既考虑到泄漏在束缚核子外的海夸克与胶子间的重组,又考虑到仍束缚在核子内的部分子由于其禁闭空间的变化而发生的演化的基础上,给出了核内胶子分布函数的普遍形式,并具体计算了锡梭与碳核的胶子分布比,结果与NMC实验合作组的最新实验相一致.     

微扰QCD演化过程中存在遮蔽效应的一个证据

核子的纵向结构函数F_L以及虚光子吸收的纵向和横向散射截面的比值R_L在小X区域主要取决于胶子的分布函数.而胶子的初始分布函数的形式决定了在演化过程中是否要考虑遮蔽效应.利用新的动力学演化方程分析了F_L和R_L,发现在部分子演化过程中存在遮蔽现象.     

正则形式的SU(N)规范理论的约束关联动力学(Ⅲ)等时关联Green函数的运动方程与二体关联近似

把多时关联Green函数的运动方程转变成等时关联Green函数的运动方程,其中包括夸克和胶子的密度矩阵的运动方程以及顶角函数的运动方程.在二体关联截断近似下,给出运动方程、高斯定律和Ward恒等式的明显表达式.     

一类非线性演化方程的新多级准确解

在Lamé方程和新的Lamé函数的基础上，应用小扰动方法和Jacobi椭圆函数展开法求解一类非线性演化方程（如mKdV方程，非线性Klein-Gordon方程Ⅱ等），获得多种新的多级准确解 .这些多级准确解对应着不同形式的周期波解.这些解在极限条件下可以退化为多种形式的孤 立波解，如带状孤立子、钟形孤立子等. 关键词： Jacobi椭圆函数 Lam函数 多级准确解 非线性演化方程 扰动方法     

Comparisons Between Additional Parton Evolution and Q2-Rescaling Models Based on Recombination Effect

Comparisons between the additional parton evolution (APE) model and Q²-rescaling (QR) model based on the recombination effect are made by means of investigating deep-inelastic (DIS) structure functions F₂^A, nuclear Drell-Yan process and nuclear gluon distributions. While explaining experimentally measured F₂^A(x) structure functions, the difference in the recombination results of the two models mainly lies in their sensitivity to input parton distributions and Q²-dependence. In predicting the nuclear Drell-Yan ratio, the APE model gives more reasonable results in the small x region than those of the QR model. The two motlels offer similar predictions of the nuclear gluon ratio G_sn(x)/G_c(x) which are extracted from the inelastic J/ψ production process.     

Measurement of the gluon fragmentation function and a comparison of the scaling violation in gluon and quark jets

The fragmentation functions of quarks and gluons are measured in various three-jet topologies in Z decays from the full data set collected with the Delphi detector at the Z resonance between 1992 and 1995. The results at different values of transverse momentum-like scales are compared. A parameterization of the quark and gluon fragmentation functions at a fixed reference scale is given. The quark and gluon fragmentation functions show the predicted pattern of scaling violations. The scaling violation for quark jets as a function of a transverse momentum-like scale is in a good agreement with that observed in lower energy annihilation experiments. For gluon jets it appears to be significantly stronger. The scale dependences of the gluon and quark fragmentation functions agree with the prediction of the DGLAP evolution equations from which the colour factor ratio is measured to be: Received: 5 November 1999 / Published online: 25 February 2000     

Signals of gluon recombination in deep inelastic scattering

The notion of a pomeron structure function arises in a model of electromagnetic diffractive scattering based on Regge factorization. Due to its small size we expect gluon recombination to occur significantly in the pomeron. The latest data from H1 (1999) show a evolution in qualitative accordance with the GLR-MQ equations; these are the DGLAP (Altarelli–Parisi) equations corrected for the effect of gluon recombination. Received: 9 October 2000 / Revised version: 25 July 2001 / Published online: 5 November 2001     

Effective Hamiltonian for QCD evolution at high energy

We construct the effective Hamiltonian which governs the renormalization group flow of the gluon distribution with increasing energy and in the leading logarithmic approximation. This Hamiltonian defines a two-dimensional field theory which involves two types of Wilson lines: longitudinal Wilson lines which describe gluon recombination (or merging) and temporal Wilson lines which account for gluon bremsstrahlung (or splitting). The Hamiltonian is self-dual, i.e., it is invariant under the exchange of the two types of Wilson lines. In the high density regime where one can neglect gluon number fluctuations, the general Hamiltonian reduces to that for the JIMWLK evolution. In the dilute regime where gluon recombination becomes unimportant, it reduces to the dual partner of the JIMWLK Hamiltonian, which describes bremsstrahlung.     

Regge behaviour of distribution functions and t and x-evolutions of gluon distribution function at low-x

In this paper, t and x-evolutions of gluon distribution function from Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in leading order (LO) at low-x are presented assuming the Regge behaviour of quarks and gluons at this limit. We compare our results of gluon distribution function with MRST 2001, MRST 2004 and GRV 1998 parametrizations and show the compatibility of Regge behaviour of quark and gluon distribution functions with perturbative quantum chromodynamics (PQCD) at low-x. We also discuss the limitations of Taylor series expansion method used earlier to solve DGLAP evolution equations in the Regge behaviour of distribution functions.      

Antishadowing effects in the unitarized BFKL equation

A unitarized BFKL equation incorporating shadowing and antishadowing corrections of the gluon recombination is proposed. This equation reduces to the Balitsky–Kovchegov evolution equation near the saturation limit. We find that the antishadowing effects have a sizable influence on the gluon distribution function in the preasymptotic regime.     

Regge behaviour of distribution functions and evolution of gluon distribution function in next-to-leading order at low-x

Evolution of gluon distribution function from Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in next-to-leading order (NLO) at low-x is presented assuming the Regge behaviour of quark and gluon at this limit. We compare our results of gluon distribution function with MRST2004, GRV98LO and GRV98NLO parametrizations and show the compatibility of Regge behaviour of quark and gluon distribution functions with perturbative quantum chromodynamics (PQCD) at low-x.      

Regge behaviour of structure functions and evolution of gluon structure function upto next-to-leading order at low-x

Evolution of gluon structure function from Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations upto next-to-leading order at low-x is presented assuming the Regge behaviour of structure functions. We compare our results of gluon structure function with GRV 98 global parameterization and show the compatibility of Regge behaviour of structure functions with PQCD.