%0 Journal Article %T Antisymmetrization of a Mean Field Calculation of the T-Matrix %A A. Wierling %A B. G. Giraud %A F. Mekideche %A H. Horiuchi %A T. Maruyama %A A. Ohnishi %A J. C. Lemm %A A. Weiguny %J Physics %D 1994 %I arXiv %R 10.1007/BF01291912 %X The usual definition of the prior(post) interaction $V(V^\prime )$ between projectile and target (resp. ejectile and residual target) being contradictory with full antisymmetrization between nucleons, an explicit antisymmetrization projector ${\cal A}$ must be included in the definition of the transition operator, $ T\equiv V^\prime{\cal A}+V^\prime{\cal A}GV. $ We derive the suitably antisymmetrized mean field equations leading to a non perturbative estimate of $T$. The theory is illustrated by a calculation of forward $\alpha$-$\alpha$ scattering, making use of self consistent symmetries. %U http://arxiv.org/abs/nucl-th/9402002v1