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This paper reviews recent developments in the physics of fundamental interactions, focusing on nucleon structure functions, constituent quark models, and mass effect corrections. It covers topics such as Bjorken scaling, DGLAP structure functions, and polarized and unpolarized structure functions. The content includes discussions on the Schrodinger equation, Klein-Gordon equation, Dirac equation, quantum electrodynamics, and quantum chromodynamics. The analysis delves into the constituent quark model, valon model, and G1(x,Q2) proton polarized structure function. The study also explores the evolution of singlet and non-singlet distributions with Q^2 and comparisons with experimental data using the V-model. Moreover, it investigates mass effect corrections in terms of twist operator matrix elements. The paper aims to contribute to the deepening understanding of nucleon structure functions and their corrections.
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Higher Twist and target mass correction for the pollarized nucleon structure function By: Abolfazl Mirjalili Institute for Studies in Theoretical Physics and Mathematics(IPM)-Tehran and Yazd University. MATTER TO THE DEEPEST: Recent Developments in Physics of Fundamental Interactions, USTROŃ'09 PolandSeptember 11-16, 2009
Contenents: *Review on Particles Physics * Structure functions * Constiuent Quark model * Polarized Structure function of Poton * Mass effect Correction
Review on Particles Physics Schrodinger Eq. Kelein_Gordon Eq. Dirac Eq.
Review on Particles Physics • Quantum Electro • Dynamic Quantum Field Theory • Quantum Chromo Dynamic Quark-Parton Model
Review on Particles Physics Bjrorken Scaling Violation of Bjorken Scaling Eqs.DGLAP
Structure function Un-polarized structure function
Structure function Scattering X- section
Structure function Polarized SF
Constituent Quark Model Valon Model SF in V-Model;Convolution Int V-distribution F inside the P
Constituent Quark Model • Moment space * Mellein Transformation *
Constituent Quark Model • Distribution function in Moment space*
Constituent Quark Model • Relation between polarized and un-polarized V-distribution For Non-Singlet Sector* For Singlet Sector*
Proton polarized SF: g1(x,Q2) at Leading Order approximationg1(x,Q2)
Proton polarized SF:g1(x,Q2) Evolution of Non-Singlet distribution of active flavor with Q^2 • Evolution of Singlet distribution of active flavor and gluon distribution with Q^2
Proton polarized SF:g1(x,Q2) • Evolution of distribution in moment space
Proton polarized SF: g1(x,Q2) Evolution of Non-singlet distribution with Q^2 in LO approximation • Evolution of singlet and gluon distribution with Q^2 in LO approximation
Proton polarized SF:g1(x,Q2) Parton distribution function inside the proton
Proton polarized SF: g1(x,Q2) Proton polarized SF in moment space and in LO approximation
Proton polarized SF: g1(x,Q2) Fitting and Jaccobi polynomials
Proton polarized SF:g1(x,Q2) Comparison of proton polarized SF with experimental data using V-model in LO approximation and at Q^2= 2 Gev^2
Proton polarized SF:g1(x,Q2) SF in NLO approximation and in moment spaceg1(x,Q2)
Proton polarized SF:g1(x,Q2) Comparison of proton polarized SF with experimental data using V-model in NLO approximation and at Q^2= 2 Gev^2
Mass Effect Correction Natchman variable:
Mass Effect Correction • Mass effect relation for g1(x,Q2) in terms of first and third twist operator matrix element till third order of mass approximatio
Mass Effect Correction • Comparison of proton polarized SF ,g1(x,Q2), with experimental data using V-model in LO approximation and at Q^2= 2 Gev^2. The mass effect result is also included.
Mass Effect Correction • Comparison of proton polarized SF ,g1(x,Q2), with experimental data using V-model in LO approximation and at Q^2= 2 Gev^2. The mass effect result is also included.
