Unpolarized SIDIS Cross Section from a 3He Target

The unpolarized semi-inclusive deep-inelastic scattering (SIDIS) differential cross sections in $^3$He($e,e^{\prime}\pi^{\pm}$)$X$ have been measured for the first time in Jefferson Lab experiment E06-010 performed with a $5.9\,$GeV $e^-$ beam on a $^3$He target. The experiment focuses on the valence quark region, covering a kinematic range $0.12 < x_{bj} < 0.45$, $1 < Q^2 < 4 \, \textrm{(GeV/c)}^2$, $0.45 < z_{h} < 0.65$, and $0.05 < P_t < 0.55 \, \textrm{GeV/c}$. The extracted SIDIS differential cross sections of $\pi^{\pm}$ production are compared with existing phenomenological models while the $^3$He nucleus approximated as two protons and one neutron in a plane wave picture, in multi-dimensional bins. Within the experimental uncertainties, the azimuthal modulations of the cross sections are found to be consistent with zero.

In this dissertation, the studies for the unpolarized SIDIS differential cross sections are presented. The dissertation will start with the introduction on the physics related to SIDIS, then the experiment E06-010 will be described, followed by the data analysis. The results of the unpolarized SIDIS differential cross sections will be shown afterwards with discussions.

In addition to the work on the unpolarized SIDIS, the author also updated the approximated formalism for radiative effects (REs) for inclusive scattering channels (lifted the energy peaking approximation of the formalism). This updated formalism and a detailed discussion of the approximations in different formalisms of REs are presented in the appendix.