Measurement of the forward-backward asymmetry of $\mathrm{\Lambda }$ and $\bar{\mathrm{\Lambda }}$ production in $p\bar{p}$ collisions

We study $\mathrm{\Lambda }$ and $\bar{\mathrm{\Lambda }}$ production asymmetries in $p \bar{p} \rightarrow \Lambda (\bar{\Lambda}) X$,$p \bar{p} \rightarrow J/\psi \Lambda (\bar{\Lambda}) X$,and$p \bar{p} \rightarrow \mu^\pm \Lambda (\bar{\Lambda}) X$eventsrecordedbytheD0detectorattheFermilabTevatroncolliderat$\sqrt{s} = 1.96$TeV\mathrm{.}Wefindanexcessof$\Lambda${}^{\mathrm{\prime }}s($\bar{\Lambda}$'s) produced in the proton (antiproton) direction. This forward-backward asymmetry is measured as a function of rapidity. We confirm that the $\bar{\mathrm{\Lambda }}\mathrm{/}\mathrm{\Lambda }$ production ratio, measured by several experiments with various targets and a wide range of energies, is a universal function of “rapidity loss”, i.e., the rapidity difference of the beam proton and the lambda.