Using the Bethe-Salpeter equation(BSE),we investigate the forward-backward asymmetries(AFB) in Λb→Λl~+l~-(l=e,μ,τ) in the quark-diquark model.This approach provides precise form factors that are different from those of quantum chromodynamics (QCD) sum rules.We calculate the rare decay form factors for Λb→Λl~+l~-b and investigate the (integrated) forward-backward asymmetries in these decay channels.We observe the integrated ■,and ■;the hadron side asymmetries ■the lepton-hadron side asymmetries ■;and the longitudinal polarization fractions ■.