Measurement of the forward-backward asymmetry in ${\mathrm{\Lambda }}_b^0$ and ${\bar{\mathrm{\Lambda }}}_b^0$ baryon production in $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV

We measure the forward-backward asymmetry in the production of ${\mathrm{\Lambda }}_b^0$ and ${\bar{\mathrm{\Lambda }}}_b^0$ baryons as a function of rapidity in $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV using $10.4$ fb${}^{-1}$ of data collected with the D0 detector at the Fermilab Tevatron collider. The asymmetry is determined by the preference of ${\mathrm{\Lambda }}_b^0$ or ${\bar{\mathrm{\Lambda }}}_b^0$ particles to be produced in the direction of the beam protons or antiprotons, respectively. The measured asymmetry integrated over rapidity $y$ in the range $0.1<\mathrm{\mid }y\mathrm{\mid }<2$ is $A=0.04\pm 0.07(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t})\pm 0.02(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t})$.