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Target Mass Correction for the Polarized Nucleon Structure Function By: Abolfazl Mirjalili In collaborating with S. Atashbar Tehrani & H.M Saffar IPM and Yazd Uni First IPM meeting on LHC Physics April 20-24, 2009, Isfahan

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* Review on Particles Physics * Structure functions * Constiuent Quark model * Polarized Structure function of Poton * Mass effect Correction Contenents:

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Review on Particles Physics Schrodinger Eq. Kelein_Gordon Eq. Dirac Eq.

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Review on Particles Physics Quantum Field Theory Quantum Chromo Dynamic Quantum Electro Dynamic Quark-Parton Model

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Review on Particles Physics Violation of Bjorken Scaling Bjrorken Scaling Eqs. DGLAP

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Structure function Un-polarized structure function

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Structure function Scattering X- section

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Structure function Polarized SF

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Constituent Quark Model Valon Model V-distribution F inside the P SF in V-Model;Convolution Int

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Constituent Quark Model Moment space * Mellein Transformation *

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Constituent Quark Model Distribution function in Moment space *

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Constituent Quark Model Relation between polarized and un-polarized V-distribution For Singlet Sector * For Non-Singlet Sector*

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Proton polarized SF: g 1 (x,Q 2 ) at Leading Order approximation g 1 (x,Q 2 )

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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

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Proton polarized SF: g1(x,Q2) Evolution of distribution in moment space

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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

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Proton polarized SF: g1(x,Q2) Parton distribution function inside the proton

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Proton polarized SF: g1(x,Q2) Proton polarized SF in moment space and in LO approximation

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Proton polarized SF: g1(x,Q2) Fitting and Jaccobi polynomials

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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

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Proton polarized SF: g1(x,Q2) SF in NLO approximation and in moment space g 1 (x,Q 2 )

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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

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Mass Effect Correction Natchman variable:

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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

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Mass Effect Correction

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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.

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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.

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