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Antisymmetrization of a mean field calculation of the T-matrix
Authors:A. Wierling  B. G. Giraud  F. Mekideche  H. Horiuchi  T. Maruyama  A. Ohnishi  J. C. Lemm  A. Weiguny
Affiliation:1. Max-Planck Gesellschaft, AG ?Theoretische Vielteilchensysteme“, D-18051, Rostock, Germany
2. Service Physique Théorique, DSM-CEA Saclay, F-91192, Gif/Yvette, France
4. Physics Department, Kyoto University, 606, Kyoto, Japan
7. Institut für Theoretische Physik, Universit?t Münster, D-48149, Münster, Germany
Abstract:The usual definition of the prior (post) interactionV(V′) between projectile and target (resp. ejectile and residual target) being contradictory with full antisymmetrization between nucleons, an explicit antisymmetrization projectorA must be included in the definition of the transition operator, T≡V′A + V′A GV. We derive the suitably antisymmetrized mean field equations leading to a non perturbative estimate ofT. The theory is illustrated by a calculation of forwardα-α scattering, making use of self consistent symmetries.
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