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

Abstract

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.

Thesis submitted for the award of the degree of Doctor of Philosophy to Tezpur University, Assam on August, 2008. The Board of Management of Tezpur University declared the award of the degree of Doctor of Philosophy for this thesis on 24th Sept., 2009.

References in corpus (7)

• Spin asymmetry A_1^d and the spin-dependent structure function g_1^d of the deuteron at low values of x and Q^2
• Instantons in QCD with Many Colors
• Pomeron effective intercept, logarithmic derivatives of $F_2(x,Q^2)$ in DIS and Regge models
• Simultaneous QCD analysis of diffractive and inclusive DIS data
• Spin dependent structure function $g_1$ at small $x$ and small $Q^2$
• Polarized deep inelastic scattering at low Bjorken x and resummation of logarithmic corrections, $l{n}^2(1/x)$
• Polarised Deep Inelastic Scattering: Data Analysis and Results

Cited by in corpus (1)

• Comparison of Analytical Solutions of DGLAP Evolution Equations