Magneto-Optical trapping developments for the $^6$He $\beta$-$\overline{\nu}$ angular correlation experiment

In the search for beyond the Standard Model contributions of tensor currents in the weak interaction, our group is seeking to measure the $\beta$-$\overline{\nu}$ angular correlation in the decay of $^6$He (t$_{1/2}$ $\sim$ 807 ms). We will measure the time of flight of recoil daughter $^6$Li ions as they fall through an electric field to kinematically reconstruct the relative angle of the $\beta$ and $\overline{\nu}$. This requires precise knowledge of the initial position of the decay, which we achieve by confining the $^6$He atoms to a small region with a magneto-optical trap (MOT). To lower the detection of background decays from untrapped $^6$He atoms, we perform a MOT-to-MOT transfer within $\sim$15~ms using a pulsed push beam through a conductance-limiting aperture tube to provide differential pumping between two MOT chambers. Transfer efficiencies exceeding 60\% have been achieved. Recent results will be presented.