First measurement of unpolarized SIDIS cross section and cross section ratios from a ${}^3$He target

Abstract

The unpolarized semi-inclusive deep-inelastic scattering (SIDIS) differential cross sections in ${}^3$He($e,e^{\prime }\ddot{I}{€}^{\pm }$)$X$ 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 $0.12<x_{bj}<0.45$, $1<Q^2<4{\text{(GeV/c)}}^2$, $0.45<z_h<0.65$, and $0.05<P_t<0.55\text{GeV/c}$. The extracted SIDIS differential cross sections of $\ddot{I}{€}^{\pm }$ 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.