Parameterization of Polarized $^{3}$He Quasi-Elastic Scattering Cross Sections

Radiative corrections are important steps when extracting scattering cross sections from data. In order to apply radiative corrections to the $^{3}$He nucleus, an accurate parameterization of these cross-sectional data in a wide kinematic range are needed. There exist no world parameterizations for the polarized quasi-elastic scattering cross-sections for the $^{3}$He nucleus, but instead data from other nuclei are combined with theoretical predictions for the polarized $^{3}$He nucleus. However, $^{3}$He nuclear effects are neglected. This can lead to large uncertainties in the results. In order to perform the parameterization, various computational methods were used to create a physical model of the scattering which would not neglect the $^{3}$He nuclear effects. The Jefferson Lab National Accelerator Facility data were fit to various nonlinear distribution models and the best fits were found for each beam energy. A global fit was created by fitting the parameters of these distributions. These results can be used to predict polarized quasi-elastic cross sections for unmeasured kinematics and for applying radiative corrections where such parameterizations are needed.