Abstract
The imaginary part of the optical potential for nuclear ion-ion scattering in the energy range 20 MeV ≲E/A ≲ 200 MeV is derived using Feshbach's projection formalism. It is defined as the effective absorptive potential in the projected one-body Schroedinger equation for the relative motion of the colliding nuclei. Calculations are done in the Thomas-Fermi approximation, which accounts in a simple way for all phase-space effects as well as for the finite size of the ions. Intrinsic excitations are considered to be of one particle — one hole type in either of the ions, the other remaining in its ground state. The effective two-body interaction is taken to be of finite range. Further simplifications of the model consist in neglecting antisymmetrization between the mutual wave functions of the two ions and in the omission of the Coulomb energy.
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References
Feshbach, H.: Ann. Phys.5, 357 (1958);19, 287 (1962)
Vinh Mau, N.: Nucl. Phys. A457, 189 (1986)
Hasse, R.W., Schuck, P.: Nucl. Phys. A445, 205 (1985)
Buenerd, M. et al.: Nucl. Phys. A424, 313 (1984)
Ghosh, G., Hasse, R.W., Schuck, P., Winter, J.: Phys. Rev. Lett.50, 1250 (1983);
Blin, A.H., Hiller, B., Hasse, R.W., Schuck, P.: J. Phys. (Paris)45, C6–231 (1984)
Blin, A.H., Hasse, R.W., Hiller, B., Schuck, P., Yannouleas, C.: Nucl. Phys. A456, 109 (1986); GSI-85-56 Preprint
Hasse, R.W., Schuck, P.: Nucl. Phys. A438, 157 (1985); J. Phys. Paris45, C6-45 (1984)
Blin, A.H., Hasse, R.W., Hiller, B., Schuck, P.: Phys. Lett.161B, 211 (1985)
Ring, P., Schuck, P.: The nuclear many body problem. Berlin, Heidelberg, New York: Springer 1980
Brack, M., Guet, C., Hakanson, H.B.: Phys. Rep.123, 275 (1985)
Blin, A.H., Brack, M., Hiller, B., Werner, E.: Proceedings of XXI Winter School on Physics, Report IFJ No. 1344/ps, p. 346 7–13 April, 1986, Zakopane, Poland; Proceedings of the International Workshop on Gross Properties of Nuclei and Nuclear Excitations XV, ISSNO 720-8715, 12–17 April 1987 Hirschegg, Austria; Interantional Workshop on Semiclassical and Phase Space Approaches to the Dynamics of the Nucleus, 16–20 March, Aussois, France (in print)
Quesada, J.M., Broglia, R.A., Bragin, V., Pollarolo, G.: Proceedings of the International Conference on Theoretical Approaches of Heavy Ion Reaction Mechanisms. Martinot, M. (ed.) Paris 1984
Pollarolo, G., Broglia, R.A., Winther, A.: Nucl. Phys. A406, 369 (1983)
Broglia, R.A., Pollarolo, G., Winther, A.: Nucl. Phys. A361, 307 (1981)
Jeukenne, J.P., Lejeune, A., Mahaux, C.: Phys. Rep. C10, 1391 (1974); C15, 10 (1977); C16, 80 (1977)
Saloner, D.A., Toepffer, C.: Nucl. Phys. A283, 108 (1987)
Izumoto, T., Krewald, S., Faessler, A.: Nucl. Phys. A341, 319 (1980);
Faessler, A., Izumoto, T., Krewald, S., Sartor, R.: Nucl. Phys. A359, 509 (1981);
Sartor, R., Faessler, A., Khadkikar, S.B., Krewald, S.: Nucl. Phys. A357, 471 (1981);
Izumoto, T., Krewald, S., Faessler, A.: Nucl. Phys. A357, 471 (1981)
Khadkikar, S.B., Rikus, L., Faessler, A.: Nucl. Phys. A369, 495 (1981)
Decharge, J., Gogny, D.: Phys. Rev. C21, 1568 (1980);
Gogny, D.: Proceedings of the International Conference of Nuclear Selfconsistent Fields, Trieste, 1975, Ripka, G., Porneuf, M. (eds.) Amsterdam: North Holland 1975;
Gogny, D., Padjen, R.: Nucl. Phys. A293, 365 (1977)
Schuck, P., Bengston, R., Durand, M., Kunz, J., Ramamurthy, S.: In: Lecture Notes in Physics. Araki, H., Ehlers, J., Hepp, K., Kippenhahn, J., Weidenmüller, H.A., Zittartz, J. (eds.) Vol. 158: Dynamics of nuclear fission and related collective phenomena. David, P., Mayer-Kuckuk, T., Woude, A. van der (eds.), p. 183. Berlin, Heidelberg, New York: Springer 1982
Satchler, G.R., Love, W.G.: Phys. Rep.55, 183 (1979)
Feshbach, H., Hüfner, J.: Ann. Phys.56, 268 (1970);
Feshbach, H., Gal, A., Hüfner, J.: Ann. Phys.66, 20 (1971)
Hasse, R.W.: Ann. Phys.80, 118 (1973)
Grammaticos, B.: Ann. Phys.126, 450 (1980)
Glauber, R.J.: In: Boulder lectures in theoretical physics. Vol. I. New York: Interscience 1959; Glauber, R.J., Mathiae, G.: Nucl. Phys. B21, 135 (1970)
Satta, L. et al.: Phys. Lett.139B, 263 (1984)
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Blin, A.H., Brack, M., Hiller, B. et al. The absorptive part of the nucleus-nucleus potential in a semiclassical approach. Z. Physik A - Atomic Nuclei 328, 431–444 (1987). https://doi.org/10.1007/BF01289629
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DOI: https://doi.org/10.1007/BF01289629