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This study investigates the influence of the fourth generation quarks on thedouble lepton polarizations in \Lambda_b --> \Lambda \ell^+ \ell^- decay bytaking |V^\ast_{t's}V_{t'b}|= 0.005,0.01,0.02,0.03 with phase\{60^\circ,90^\circ,120^\circ\}. We will try to obtain a constrain on the massof the 4th generation top like quark t', which is consistent with the $b-->s\ell^+\ell^- rate . With the above mentioned parameters, we will try to showthat the double lepton(muon, tau) polarizations are quite sensitive to theexistence of fourth generation. It can serve as a good tool to search for newphysics effects, precisely, to search for the fourth generation quarks(t', b')via its indirect manifestations in loop diagrams.

Double Lepton Polarization in $\Lambda_b -->\Lambda l^+ l^-$ Decay in the Standard Model with Fourth Generations Scenario