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Target Mass Correction for the Polarized Nucleon Structure - IPM

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Target Mass Correction for the Polarized Nucleon Structure - IPM Powered By Docstoc
					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
  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



DGLAP Eqs.
 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)

g1(x,Q2) at Leading Order approximation
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)

g1(x,Q2) SF in NLO approximation and in moment space
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.

				
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posted:4/8/2013
language:English
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