Using R-function to study the high-resolution spectrometer HRS acceptance for the 12 GeV era experiment E12-06-114 at JLab

The aim of this study is to module the High-Resolution Spectrometer (HRS) acceptance in an accelerator based study of the internal structure of the proton to the 1{\%} level. The HRS acceptance is a 4-D region of space, depending on the four correlated target variables (ytg, $\theta $tg, $\varphi $tg, $\delta $tg). Making the 4-D acceptance region impossible to visualize. The R-function provides a convenient way to make a single cut and select electrons in the 4D-space. Preliminary results show that the R-value spectrum from experimental data agrees with R-value spectrum from the simulation. In future, we will optimize the simulation for better agreement with the experiment.