Deuteron and neutron Data

The experiments with the polarized deuteron target and polarized He target are listed in Table vii with the year of their publish, average and integrated value of . Motivation of both experiments to extract the spin-dependent structure function of neutron.

  
Table vii: Polarized DIS experiments with polarized deuteron target and polarized He target. In the case of He data, is listed instead of .

• CERN-SMC (93, 95) [16,21]
  • The spin dependent structure function has been measured using the 100 GeV and 190 GeV polarized muon beams at CERN. The beam polarization has been determined from the energy spectrum of the positron from decay muon.
  • The contribution from quadrupole structure function is expected to be small and neglected.
  • has been neglected. The depolarization has been evaluated using in Ref. [15].
• SLAC-E143 [20]
  • Similarly to the proton case, they have measured both and using the polarized electrons of three energy points. All data has been used to study dependence of the asymmetries. Only the data with highest energy beam (29.1 GeV) was used to obtain the integral of . We can use the data with other beam energies for our global fit.
  • The nuclear effect on asymmetry has been evaluated from the measured polarization of nitrogen and shell model calculation to determine the contribution of the unpaired p-shell proton.
  • The depolarization has been evaluated using in Ref. [15].
• E142 [17]
  • The experiment utilized the polarized He target, which is the good good model of polarized neutron target in DIS experiment. The asymmetry has been corrected with the proton polarization ( per one proton), and neutron polarization ().
  • The beam polarization has been measured with Moeller polarimeter as 38.81.6%.
  • The He polarization has been measured with NMR technique as 30-40% 7%.
  • The has been neglected since their measurements was consistent with zero within a statistical accuracy (0.25).

 
Table viii: Experiments with deuteron.

  
Table ix: Kinematical coverage of each experiment and number of data points are tabulated.

 
Table x: Corrections to the measured asymmetries. The effect of was neglected but the uncertainty due to the effect has been estimated and included in the systematic uncertainty. In E142, the measured asymmetry was consistent with zero within a statistical error of 0.25, thus neglected in the analysis.