  correlation, assuming that the spin of the top quark is either correlated
with the spin of the anti-top quark as predicted by the standard model or is
uncorrelated. For the first time we use a matrix-element-based approach to
study ttbar spin correlation. We use {ttbar -> W+bW-bbar ->l+nubl-nub} final
states produced in ppbar collisions at a center of mass energy sqrt(s)=1.96
TeV, where l denotes an electron or a muon. The data correspond to an
integrated luminosity of 5.4 fb-1 and were collected with the dzero detector at
the Fermilab Tevatron collider. The result agrees with the standard model
prediction. We exclude the hypothesis that the spins of the ttbar are
uncorrelated at the 97.7% C.L.
