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We report the first precise measurement of a $\beta$-recoil correlation froma radioactive noble gas ($^6{\rm He}$) confined via a magneto-optical trap. Themeasurement is motivated by the search for exotic tensor-type contributions tothe charged weak current. Interpreted as tensor currents with right-handedneutrinos, the measurements yield: $|C_T/C_A|^2\le 0.022$ (90\% C.L.). On theother hand, for left-handed neutrinos the limits are $0.007< C_T/C_A<0.111$~(90\%\ C.L.). The sensitivity of the present measurement is mainlylimited by experimental uncertainties in determining the time responseproperties and the distance between the atom cloud and the micro-channel plateused for recoil ion detection.

$\beta$-nuclear-recoil correlation from $^6$He decay in a laser trap