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

* Review on Particles Physics

* Structure functions

* Constiuent Quark model

* Polarized Structure function of Poton

* Mass effect Correction

Contenents:

Review on Particles Physics

Schrodinger Eq.

Kelein_Gordon Eq.

Dirac Eq.

Review on Particles Physics

Quantum Field Theory Quantum

Chromo Dynamic

Quantum Electro

Dynamic

Quark-Parton Model Quark-Parton Model

Review on Particles Physics

Violation of Bjorken Scaling

Bjrorken Scaling

Eqs. DGLAP

Structure function

Un-polarized structure function

Structure function

Scattering X- section

Structure function

Polarized SF

Constituent Quark Model

Valon Model

V-distribution F inside the P

SF in V-Model;Convolution Int

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 Singlet Sector *

For Non-Singlet Sector*

Proton polarized SF: g1(x,Q2)

at Leading Order approximation g1(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 space g1(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

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.