We perform a comprehensive analysis of the rare "Lambda_b -> Lambda l+ l-"
decay in the framework of family non-universal Z' model. It is shown that Z'
gives considerable contribution to the decay width. Zero positions of the
forward-backward asymmetry and alpha_theta parameter are shifted to the left
compared to the Standard Model result. The obtained results could be tested in
near future at LHC-b.Comment: 14 pages, 4 postscript figures, LaTeX formatte
