Abstract
A selfconsistent quantal two-body theory as obtained from the density-matrix hierarchy is solved numerically for the first time for a one-dimensional system modelling α+ α collisions at 80 MeV/u. Various truncation schemes for the two-body correlation function are investigated in order to explore the convergence properties of the theory. We find that perturbative treatments with respect to two-body processes do not yield reliable results in the energy regime investigated and that the nuclear stopping power sensitively depends on the order of the two-body correlations considered.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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)
Ayik, S.: Z. Phys. A — Atoms and Nuclei298, 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)
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)
Wang, S.J., Cassing, W.: Ann. Phys.159, 328 (1985)
Kadanoff, L.P., Baym, G.: Quantum statistical mechanics. London, Amsterdam: Benjamin/Cummings 1962
Balescu, R.: Equilibrium and nonequilibrium statistical mechanics. New York: Wiley 1975
Lejeune, A., Grangé, P., Martzolff, M., Cugnon, J.: Nucl. Phys. A453, 189 (1986)
Cugnon, J., Lejeune, A., Grangé, P.: Phys. Rev. C35, 861 (1987)
Botermans, W., Malfliet, R.: Phys. Lett.171B, 22 (1986)
ter Haar, B., Malfiet, R.: Phys. Rep.149, 207 (1987)
Cassing, W.: Proceedings of the international workshop on gross properties of nuclei and nuclear excitations XV. Feldmeier, H. (ed.), p. 140. Hirschegg, Austria, Jan. 1987
Cassing, W.: Phase space approach to nuclear dynamics. Di Toro, M. (ed.), p. 64–93. Singapore: World Scientific 1986
Bertsch, G., Kruse, H., Das Gupta, S.: Phys. Rev. C29, 673 (1984)
Kruse, H., Jacak, B., Stöcker, H.: Phys. Rev. Lett. 54, 289 (1985); Kruse, H., Jacak, B., Molitoris, J.J., Westfall, G.D., Stöcker, H.: Phys. Rev. C31, 1770 (1985)
Aichelin, J., Bertsch, G.: Phys. Rev. C31, 730 (1985)
Grégoire, C., Remaud, B., Scheuter, F., Sebille, F.: Nucl. Phys. A436, 365 (1985)
Koonin, S.E.: Computational physics, p. 23 ff. London-Amsterdam: Benjamin/Cummings 1986
Davies, K.T.R., Devi, K.R.S., Koonin, S.E., Strayer, M.R.: In: Bromley, D.A. (ed.), Vol. 3. Treatise on heavy ion science. New York: Plenum Press 1985
Aichelin, J., Stöcker, H.: Phys. Lett.163B, 59 (1985)
Author information
Authors and Affiliations
Additional information
Supported by BMFT and GSI Darmstadt
One of the authors (W.C.) acknowledges valuable discussions with P. Buck, H. Feldmeier, U. Mosel, K. Niita, A. Pfitzner, P.G. Reinhard, and C. Toepffer.
Rights and permissions
About this article
Cite this article
Cassing, W., Wang, S.J. Numerical study of a selfconsistent two-body theory for colliding ions in a one-dimensional model. Z. Physik A - Atomic Nuclei 328, 423–429 (1987). https://doi.org/10.1007/BF01289628
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01289628