Determining the Reconstruction Efficiency \\ of $\Lambda^0$ Hyperons in CLAS12 at Jefferson Lab

$\Lambda^0$ hyperons can be produced from hadronization of a struck quark in SIDIS processes. This is of interest as their polarization may be inferred from their self-analyzing weak decay. Thus, such polarized probes allow one to analyze the polarization of quarks in the proton and test fundamental aspects of QCD. The CLAS12 experiment at Jefferson Lab uses an $11$ GeV electron beam incident on a polarized or unpolarized target to study the behavior of the strong force within the proton. In this study, we generated SIDIS events using a Lund Monte Carlo and simulated the response of the CLAS12 detector using GEANT4 with different toroidal magnet field strengths and configurations (either inbending or outbending). We then processed events using the CLAS12 reconstruction framework to find the optimal configuration and maximize our reconstruction efficiency from the $\Lambda^0\rightarrow\pi^-+p^+$ decay channel. For $\Lambda^0$ hyperons coming from a struck quark ($x_{Feynman} > 0$), we obtained our best reconstruction efficiency in the outbending toroidal configuration. We will present the results of this study along with the implications on the statistical precision of a potential measurement of $\Lambda^0$ polarization using the data to be collected by CLAS12.