Abstract
The dynamical description of strongly interacting finite Fermi systems is based on coupled equations of motion for the one-body density matrixρ(11′) and the two-body correlation functionc 2(12, 1′2′) as obtained from the density-matrix hierarchy. The truncation schemes considered exceed the conventional Brueckner-Hartree-Fock scheme and also apply for nonstationary problems. In the limit of slow processes in time the equation of motion for the two-body correlation functionc 2 can be integrated in time and closed expressions can be given for the dynamical evolution ofρ(11′). When performing a Wigner transformation and adopting semiclassical limits this gives a transport equation of the Uehling-Uhlenbeck type for the one-body phase-space distributionf(x,p;t). Furthermore, in the small amplitude limit, we obtain a set of coupled equations for particle-hole (p-h),2p-2p, 2h-2h, 2p-2h, 1p-3h, 1h-3p amplitudes beyond the level of second RPA which provide a genuine basis for the description of giant resonances and their damping width.
Similar content being viewed by others
References
Davies, K.T.R., Devi, K.R.S., Koonin, S.E., Strayer, M.R.: In: Treatise on heavy ion science. Bromley, D.A. (ed.), Vol. 3. New York: Plenum Press 1985
Negele, J.W.: Rev. Mod. Phys.54, 913 (1982)
Wong, C.Y., Tang, H.F.: Phys. Rev. Lett.40, 1070 (1978)
Orland, H., Schaeffer, R.: Z. Phys. A — Atoms and Nuclei290, 191 (1979)
Köhler, H.S.: Nucl. Phys. A343, 315 (1980); A378, 159 (1982); A378, 181 (1982); A438, 564 (1985)
Köhler, H.S., Nielsson, B.S.: Nucl. Phys. A417, 541 (1984), A477, 318 (1988)
Ayik, S.: Z. Phys. A298, 83 (1980); Nucl. Phys. A370, 317 (1981); A422, 331 (1984)
Balian, R., Vénéroni, M.: Ann. Phys.135, 270 (1981)
Grangé, P., Weidenmüller, H.A., Wolschin, G.: Ann. Phys.136, 190 (1981)
Münchow, L., Pfitzner, A.: Z. Phys. A — Atoms and Nuclei314, 97 (1983)
Buck, P., Feldmeier, H.: Phys. Lett.129B, 172 (1983)
Reinhardt, H., Balian, R., Alhassid, Y.: Nucl. Phys. A422, 349 (1984)
Tohyama, M.: Phys. Lett.144B, 169 (1984); Nucl. Phys. A437, 443 (1985)
Tohyama, M.: Phys. Lett.163B, 14 (1985); Phys. Rev. C36, 187 (1987)
Nemes, M.C., De Toledo Piza, A.F.R.: Phys. Rev. C27, 862 (1983); Phys. Rev. C31, 613 (1985); Phys. Lett.172B, 119 (1986)
Wang, S.J.: Phys. Lett.133B, 27 (1983)
Pfitzner, A., Münchow, L., Mädler, P.: Phys. Lett.218B, 295 (1989)
Wang, S.J., Cassing, W.: Ann. Phys.159, 328 (1985)
Botermans, W., Malfliet, R., Phys. Lett.171B, 22 (1986); Preprint KVI-819
ter Haar, B., Malfliet, R., Phys. Rev. C36, 1611 (1987)
Léjeune, A., Grangé, P., Martzolff, M., Cugnon, J.: Nucl. Phys. A453, 189 (1986)
Cugnon, J., Léjeune, A., Grangé, P.: Phys. Rev. C35, 861 (1987)
Cassing, W., Niita, K., Wang, S.J.: Z. Phys. A — Atomic Nuclei331, 439 (1988)
Toepffer, C., Reinhard, P.G.: Ann. Phys.181, 1 (1988)
Cassing, W.: Z. Phys. A — Atomic Nuclei327, 447 (1987)
Niita, K., Cassing, W., Mosel, U.: Nucl. Phys. A504, 391 (1989)
Cassing, W., Metag, V., Mosel, U., Niita, K.: Phys. Rep.188, 363 (1990)
Tohyama, M., Gong, M.: Z. Phys. A — Atomic Nuclei332, 269 (1989)
Cassing, W., Wang, S.J.: Z. Phys. A — Atomic Nuclei328, 423 (1987)
Khan, S. et al.: Nucl. Phys. A481, 253 (1988)
Adachi, S., Schuck, P.: Nucl. Phys. A496, 485 (1989)
Hernandez, E.S., de la Mota, V.: J. Phys. G13, L189 (1987)
de la Mota, V., Hernandez, E.S.: Z. Phys. A — Atomic Nuclei328, 177 (1987)
Sawicki, J.: Phys. Rev.126, 2231 (1962)
Yannouleas, C., Dworzecka, M., Griffin, J.J.: Nucl. Phys. A397, 239 (1983)
Yannouleas, C., Jang, S.: Nucl. Phys. A455, 40 (1986)
Jang, S.: Nucl. Phys. A499, 250 (1989)
Bortignon, P.F., Broglia, R.A., Bracco, A., Cassing, W., Dossing, T., Ormand, E.: Nucl. Phys. A495, 155c (1989)
Bertsch, G.F., Das Gupta, S.: Phys. Rep.160, 189 (1988)
Suraud, E., Grégoire, C., Tamain, B.: Prog. Part. Nucl. Phys.23, 357 (1989)
Author information
Authors and Affiliations
Additional information
Supported by BMFT and GSI Darmstadt
The authors acknowledge the support from the WTZ program between GSI Darmstadt and ZfK Rossendorf which has substantially facilitated the present work.