Abstract
The Uehling-Uhlenbeck collision term is derived from coupled equations of motion for the one-body density matrix and the two-body correlation function as obtained from the density-matrix hierarchy. The respective approximations introduced are related with energy and momentum conservation in single nucleon-nucleon collisions and found numerically to be approximately valid for energetic nucleon-nucleon collisions in case of intermediate energy heavy-ion reactions. Primary collision times of nucleons in the dinuclear reaction zone are calculated for various laboratory energies and the approach to local equilibrium is followed in time. Average relaxation times for highly excited finite nuclear systems are found to be considerably shorter than for related infinite nuclear matter problems, however, still too large as to allow for the formation of hot spots in nuclei.
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)
Nagamiya, S., Gyulassy, M.: Advances in nuclear physics. Negele, J.W., Vogt, E. (eds.), Vol. 13, pp. 201–315. New York: Plenum Press 1984
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)
Grégoire, C., Remaud, B., Scheuter, F., Sebille, F.: Nucl. Phys. A436, 365 (1985)
Aichelin, J., Bertsch, G.: Phys. Rev. C31, 1730 (1985)
Uehling, E.A., Uhlenbeck, G.E.: Phys. Rev.43, 552 (1933)
Irving, J.H., Zwanzig, R.W.: J. Chem. Phys.19, 1173 (1951)
Mori, H., Ono, S.: Prog. Theor. Phys.8, 327 (1952)
Aichelin, J.: Phys. Lett.164B, 261 (1985)
Bauer, W., Bertsch, G.F., Cassing, W., Mosel, U.: Phys. Rev. C34, 2127 (1986)
Kadanoff, L.P., Baym, G.: Quantum statistical mechanics. London, Amsterdam: Benjamin/Cummings Publ. Comp. 1962
Carruthers, P., Zachariasen, F.: Rev. Mod. Phys.55, 245 (1983)
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.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)
Tang, H.H.K., Siemens, P.J.: Nucl. Phys. A453, 251 (1986)
Botermans, W., Malfliet, R.: Phys. Lett.171 B, 22 (1986)
Lejeune, A., Grangé, P., Martzolff, M., Cugnon, J.: Nucl. Phys. A453, 189 (1986)
Cugnon, J., Lejeune, A., Grangé, P.: Phys. Rev. C35, 861 (1987)
Cassing, W.: Z. Phys. A — Atomic Nuclei327, 87 (1987)
Cassing, W.: Proceedings of the International Workshop on Gross Properties of Nuclei and Nuclear Excitations XV, Feldmeier, H. (ed.), Hirschegg, Austria, Jan. 1987, p. 140
Cassing, W.: Habilitationsschrift, TH Darmstadt 1985; GSI-Report 86-6
Cassing, W.: Phase-space approach to nuclear dynamics. Di Toro, M. (ed.), pp. 64–93. Singapore: World Scientific Publ. Comp. 1986
Cusson, R.Y., Smith, R.K., Maruhn, J.A.: Phys. Rev. Lett.36, 1166 (1976)
Cusson, R.Y., Maruhn, J.A., Meldner, A.W.: Phys. Rev. C18, 2589 (1978)
Cusson, R.Y., Meldner, A.W.: Phys. Rev. Lett.42, 694 (1979)
Chen, K., Fraenkel, Z., Friedländer, G., Grover, J.R., Miller, J.M., Shimamoto, Y.: Phys. Rev.166, 949 (1968)
Danielewicz, P.: Ann. Phys.152, 239 (1984);152, 305 (1984)
Cassing, W., Biro, T., Mosel, U., Tohyama, M., Bauer, W.: Phys. Lett.181 B, 217 (1986)
Hingmann, R., Kühn, W., Metag, V., Mühlhans, R., Novotny, R., Ruckelshausen, A., Cassing, W., Emling, H., Kulessa, R., Wollersheim, H.J., Haas, B., Vivien, J.P., Boullay, A., Delagrange, H., Doubre, H., Grégoire, C., Schutz, Y.: Phys. Rev. Lett.58, 759 (1987)
Bertsch, G.F.: Z. Phys. A — Atoms and Nuclei289, 103 (1978)
Toepffer, C., Wong, C.Y.: Phys. Rev. C25, 1018 (1982)
Toepffer, C.: Z. Phys. A — Atoms and Nuclei305, 263 (1982)
Vogel, J., Vogel, E., Toepffer, C.: Ann. Phys.164, 463 (1985)
Wolschin, G.: Phys. Rev. Lett.48, 1004 (1982)
Cassing, W.: Coincident particle emission from continuum states in nuclei. Machner, H., Jahn, P. (eds.), pp. 340–376. Singapore: World Scientific Publ. Comp. 1984
Blin, A., Hasse, R.W., Hiller, B., Schuck, P.: Phys. Lett.161B, 211 (1985)
Morel, P., Nozières, P.: Phys. Rev.126, 1909 (1962)
Collins, M.T., Griffin, J.J.: Nucl. Phys. A348, 63 (1980)
Holub, E., Hilscher, D., Ingold, G., Jahnke, K., Orf, H., Rossner, H., Zank, W.P., Schröder, W.U., Gemmeke, H., Keller, K., Lassen, L., Lücking, W.: Phys. Rev. C33, 143 (1986)
Rösch, W., Richter, A., Schröder, G., Gentner, R., Keller, K., Lassen, L., Lücking, W., Schreck, R., Cassing, W.: J. Phys. (Par.) C4, 389 (1986)
Balescu, R.: Equilibrium and nonequilibrium statistical mechanics. New York: John Wiley and Sons 1975
Weiner, R., Weström, M.: Nucl. Phys. A286, 282 (1977)
Gottschalk, P.A., Weström, M.: Nucl. Phys. A314, 232 (1979)
Morrison, W.W., Samaddar, S.K., Sperber, D., Zielinska-Pfabe, M.: Phys. Lett.93 B, 379 (1980)
Mooney, P., Morrison, W.W., Samaddar, S.K., Sperber, D., Zielinska-Pfabe, M.: Phys. Lett.98 B, 240 (1981)
Aichelin, J.: Phys. Rev. Lett.52, 2340 (1984)
Cassing, W.: Z. Phys. A — Atomic Nuclei326, 21 (1987)
Author information
Authors and Affiliations
Additional information
Supported by BMFT and GSI Darmstadt