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.
Similar content being viewed by others
References
Austern, N.: Direct nuclear reaction theory. New York: Wiley 1970
Giraud, B.G., Nagarajan, M.A., Thompson, I.J.: Ann. Phys. (NY)152, 475 (1984)
Bonche, P., Koonin, S., Negele, J.: Phys. Rev. C13, 1226 (1976)
Giraud, B.G., Nagarajan, M.A., Noble, C.J.: Phys. Rev. A34, 1034 (1986)
Schmid, E.W., Wildermuth, K.: Nucl. Phys.26, 463 (1961)
Tanabe, F., Tohsaki, A., Tamagaki, R.: Prog. Theor. Phys.53, 671 (1975); Lumbroso, A.: Phys. Rev. C10, 1271 (1974)
Friedrich, H.: Phys. Lett. C74, 211 (1981)
Volkov, A.B.: Nucl. Phys.74, 33 (1965)
Giraud, B.G., Kessal, S., Weiguny, A.: J. Math. Phys.29, 2084 (1988)
Stoer, J., Bulirsch, R.: Introduction to numerical analysis. New York: Springer 1983
Giraud, B.G., Lemm, J., Weiguny, A., Wierling, A.: Z. Phys. A343, 249 (1992)
Tang, Y.C.: Kyoto Symposium on Nuclear Clustering and Related Problems, Fujiwara, Y. (ed.). Kyoto: Yukawa Institute 1992
Wada, T., Horiuchi, H.: In: Proceedings of the International Symposium on Developments of Cluster Dynamics 1988. Akaishi, Y., Kato, K., Noto, H., Okabe, S. (eds.), p. 136
Ohtsuka, N., Linden, R., Faessler, A., Malik, F.B.: Nucl. Phys. A465, 550 (1987); Michel, F., Vanderporten, R.: Phys. Lett.82B, 183 (1979)
Horiuchi, H.: Prog. Theor. Phys.43, 375 (1970)
Reinhardt, H.: Nucl. Phys. A390, 70 (1982)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wierling, A., Giraud, B.G., Mekideche, F. et al. Antisymmetrization of a mean field calculation of the T-matrix. Z. Physik A - Hadrons and Nuclei 348, 153–168 (1994). https://doi.org/10.1007/BF01291912
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01291912