1. 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

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

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

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

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

6. Structure function Un-polarized structure function

7. Structure function Scattering X- section

8. Structure function Polarized SF

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

10. Constituent Quark Model Moment space * Mellein Transformation *

11. Constituent Quark Model Distribution function in Moment space *

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

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

14. 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

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

16. 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

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

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

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

20. 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

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

22. 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

23. Mass Effect Correction Natchman variable:

24. 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

25. Mass Effect Correction

26. 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.

27. 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.