Inclusive production of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>Λ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>Λ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>18.5</mml:mn><mml:mo>−</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">GeV</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:mfrac><mml:mi> </mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>±</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>p</mml:mi></mml:math>interactions

Data are presented for the single-particle inclusive reactions ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p\ensuremath{\rightarrow}{K}_{1}^{0}+$ anything, ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p\ensuremath{\rightarrow}{\ensuremath{\Lambda}}^{0}+$ anything, and ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p\ensuremath{\rightarrow}{\overline{\ensuremath{\Lambda}}}^{0}+$ anything at 18.5 $\frac{\mathrm{GeV}}{c}$. We have studied the invariant cross section $\frac{E{d}^{3}\ensuremath{\sigma}}{d\stackrel{\ensuremath{\rightarrow}}{\mathrm{p}}}$ in terms of the variables (${P}_{L},{{P}_{T}}^{2}$), ($x,{{P}_{T}}^{2}$), ($y,{{P}_{T}}^{2}$), and (${y}_{r},{{P}_{T}}^{2}$). The distributions for the longitudinal-momentum variable depend strongly on the type of particle produced. The ${K}_{1}^{0}$ distributions are not symmetric about $x=0$, where $x$ is the Feynman scaling variable; more ${K}_{1}^{0}$'s are produced in the forward hemisphere, suggestive of beam fragmentation. The ${\ensuremath{\Lambda}}^{0}$ distributions peak in the backward hemisphere, suggestive of target fragmentation. The ${\overline{\ensuremath{\Lambda}}}^{0}$ distributions are significantly different from the ${\ensuremath{\Lambda}}^{0}$ distributions. Distributions of transverse momentum are fitted with the function $A{e}^{\ensuremath{-}B{{P}_{T}}^{2}}$. The average transverse momentum of the ${K}_{1}^{0}$, ${\ensuremath{\Lambda}}^{0}$, and ${\overline{\ensuremath{\Lambda}}}^{0}$ increases logarithmically with the mass of the produced particle. Topological cross sections and multiplicity distributions are presented. We have studied the ${\ensuremath{\Lambda}}^{0}$ polarization as a function of $|t\ensuremath{-}{t}_{min}|$, $x$, and charge multiplicity. We find that the ${\ensuremath{\pi}}^{\ensuremath{-}}p$ data show a significant polarization for $0.5\ensuremath{\le}|t\ensuremath{-}{t}_{min}|\ensuremath{\le}1.5 {(\frac{\mathrm{GeV}}{c})}^{2}$ and for $\ensuremath{-}0.8\ensuremath{\le}x\ensuremath{\le}\ensuremath{-}0.4$, while in the ${\ensuremath{\pi}}^{+}p$ data the polarization is everywhere consistent with zero.