We present a preliminary study of production of hyperons, starting with &Lgr;0, in 500 GeV/c &pgr;−‐ nucleon interactions. These processes occur at lowpT2and not very high energy(s ≈ 30 GeV), then we can use the Dual Parton Model. In the frame of this model we use the graphs of interchange of pomerons to calculate the cross section production of &Lgr;0and &Lgr;¯0as function of the Feymann variablexF. We calculate as well the asymmetry asxFfunction and compare with the experimental results of the E791 experiment at Fermilab. © 2003 American Institute of Physics