  We present the Fermilab E791 measurement of baryon - antibaryon asymmetries
in the production of Lambda^0, Cascade, Omega and Lambda_c in 500 GeV/c pi^-
Nucleon interactions. Asymmetries have been measured as a function of x_F and
p_T**2 over the range -0.12 < x_F < 0.12 and p_T**2 < 4$ (GeV/c)**2 for
hyperons and -0.1 < x_F < 0.3 and p_T**2 < 8 (GeV/c)**2 for the Lambda_c
baryons. We observe clear evidence of leading particle effects and a basic
asymmetry even at x_F=0. These are the first high statistics measurements of
the asymmetry in both the target and beam fragmentation regions in a fixed
target experiment.
