Hyperon polarization in different inclusive production processes in unpolarized high energy hadron-hadron collisions

We apply the picture proposed in a previous Letter, which relates the hyperon polarization in unpolarized hadron-hadron collisions to the left-right asymmetry in singly polarized reactions, to the production of different hyperons in reactions using different projectiles and/or targets. We discuss the different ingredients of the proposed picture in detail and present the results for hyperon polarization in the reactions such as $pp$, $K^-p$, $\pi^{\pm}p$, and $\Sigma^-p$ collisions. We compare the results with the available data and make predictions for future experiments.