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 transvers
ely 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.
We report the first measurement of target single-spin asymmetries (A$_N$) in the inclusive hadron production reaction, $e~$+$~^3text{He}^{uparrow}rightarrow h+X$, using a transversely polarized $^3$He target. The experiment was conducted at Jefferson
Lab in Hall A using a 5.9-GeV electron beam. Three types of hadrons ($pi^{pm}$, $text{K}^{pm}$ and proton) were detected in the transverse hadron momentum range 0.54 $<p_T<$ 0.74 GeV/c. The range of $x_F$ for pions was -0.29 $<x_F<$ -0.23 and for kaons -0.25 $<x_F<$-0.18. The observed asymmetry strongly depends on the type of hadron. A positive asymmetry is observed for $pi^+$ and $text{K}^+$. A negative asymmetry is observed for $pi^{-}$. The magnitudes of the asymmetries follow $|A^{pi^-}| < |A^{pi^+}| < |A^{K^+}|$. The K$^{-}$ and proton asymmetries are consistent with zero within the experimental uncertainties. The $pi^{+}$ and $pi^{-}$ asymmetries measured for the $^3$He target and extracted for neutrons are opposite in sign with a small increase observed as a function of $p_T$.
