We report the measurement of beam-target double-spin asymmetries ($A_text{LT}$) in the inclusive production of identified hadrons, $vec{e}~$+$~^3text{He}^{uparrow}rightarrow h+X$, using a longitudinally polarized 5.9 GeV electron beam and a transversely polarized $^3rm{He}$ target. Hadrons ($pi^{pm}$, $K^{pm}$ and proton) were detected at 16$^{circ}$ with an average momentum $<$$P_h$$>$=2.35 GeV/c and a transverse momentum ($p_{T}$) coverage from 0.60 to 0.68 GeV/c. Asymmetries from the $^3text{He}$ target were observed to be non-zero for $pi^{pm}$ production when the target was polarized transversely in the horizontal plane. The $pi^{+}$ and $pi^{-}$ asymmetries have opposite signs, analogous to the behavior of $A_text{LT}$ in semi-inclusive deep-inelastic scattering.
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