A Precision Measurement of Neutron d2

The asymmetries $A_{\perp}$ and $A_{\parallel}$ as well as the absolute cross section $\sigma_0$ for polarized $^3He$, were measured in the deep inelastic quark region, $0.2\leq x\leq0.7$ and $2\leq Q^2\leq6 GeV^2$, to access information on the neutron. The experiment was preformed at Jefferson Laboratory located in Newport News, Va. From these asymmetries and absolute cross sections, the spin structure functions $g_1$ and $g_2$ will be extracted. Using the spin structure functions the higher twist matrix element $d{^n_2}$ will then be evaluated. The quantity $d{^n_2}$ is a probe into quark-gluon correlations, and currently\footnote{Matthias Burkardt. Parton Distributions in the Impact Parameter Space. 2009.} can be thought of effectively as the averaged Lorentz color force acting on the quarks just after they are struck by a virtual photon. Alternatively it was suggested earlier\footnote{B.W. Filippone and Xiangdong Ji. The spin structure of the nucleon. ADV.NUCL.PHYS.,26:1,2001.1},that the gluon field and nucleon polarization interactions lead to effective magnetic and electric color polarizabilities $\chi_B$ and $\chi_E$. The matrix element $d{^n_2}$ can be expressed as a linear combination of the electric and magnetic color polarizabilites, which can be calculated using Lattice QCD.