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arXiv 1004.4330hep-ph
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regge行为与自旋无关和自旋相关结构函数的研究

Studies on regge behaviour and spin-independent and spin-dependent structure functions

Begum Umme Jamil

摘要:

自部分子发现以来,深度非弹性散射(DIS)实验提供了关于强子结构和物质结构以及轻子和强子之间相互作用性质的重要信息。不同的高能深度非弹性相互作用导致不同的演化方程,我们得到不同的结构函数,提供有关部分子的信息,即夸克和胶子参与不同的散射过程。结构函数实际上是强子在高能区结构的一种数学描述。理解核子在低x下的结构函数的行为,其中x是比约肯变量,在理论上和唯象上都是有趣的。结构函数是许多高能过程的重要输入,对于研究夸克和胶子的微扰量子色动力学(PQCD)也很重要。在PQCD中,对于高Q ~ 2(其中Q ~ 2是DIS过程中的四个动量转移),这些密度的Q ~ 2-演化(在固定x处)主要由Dokshitzer-Gribov-Lipatov-Altarelli-Parisi(DGSTH)演化方程给出.在本论文中,我们利用低x次次领先阶(NNLO)结构函数的Regge行为,求解了自旋无关和自旋相关的DGS演化方程,得到了相应的结构函数近似解析解。

英文摘要:

Deep Inelastic Scattering (DIS) experiments have provided important information on the structure of hadrons and ultimately the structure of matter and on the nature of interactions between leptons and hadrons, since the discovery of partons. Various high energy deep inelastic interactions lead to different evolution equations from which we obtain various structure functions giving information about the partons i.e. quarks and gluons involved in different scattering processes. Actually structure function is a mathematical picture of the hadron structure in the high energy region. Understanding the behaviour of the structure functions of the nucleon at low-x, where x is the Bjorken variable, is interesting both theoretically and phenomenologically. Structure functions are important inputs in many high energy processes and also important for examination of perturbative quantum chromodynamics (PQCD), the underlying dynamics of quarks and gluons. In PQCD, for high-Q2, where Q2 is the four momentum transfer in a DIS process, the Q2-evolutions of these densities (at fixed-x) are given by mainly Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) Evolution Equations. In this thesis, we solved both spin-independent and spin-dependent DGLAP evolution equations applying Regge behaviour of structure functions at low-x up-to next-next-to-leading order (NNLO) and have got the respective approximate analytical solutions of structure functions.

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