Abstract
Effective inertias for cold fission, heavy ion radioactivities and alpha decay are calculated within the Werner-Wheeler approximation by using two parametrizations of intersecting spheres, with either constant radius (cluster-like shapes) or constant volume (more compact shapes) of the light fragment. A correction for the center of mass motion of a system with axial symmetry is introduced. General analytical relationships are obtained which are easily particularized for various cases of practical interest. If the mass number of the light particle is lower than 31, the action integral calculated using the Yukawa-plus-exponential potential takes lower values for cluster-like shapes than for more compact ones.
Similar content being viewed by others
References
Greiner, W.: Invited talk at the Symposium on Physics and Chemistry of Fission, Gaussig, November 21–25. 1988;
Maruhn, J.A., Greiner, W., Scheid, W.: In: Heavy ion collisions. Bock, R. (ed.), p. 397. Amsterdam: North Holland 1980
Particle emission from nuclei, Vol. 1: Nuclear deformation energy; Vol. 2: Alpha, proton and heavy ion radioactivities; Vol. 3: Fission and beta-delayed decay modes. Poenaru, D.N., Ivaşcu, M. (eds.). Boca Raton, Florida, USA: CRC Press 1988
Poenaru, D.N., Ivaşcu, M., Greiner, W.: Chap. 7, Vol. 3, Ref. 2
Greiner, W., Ivaşcu, M., Poenaru, D.N., Sādulescu, A.: In: Treatise on heavy ion science. Bromley, D.A. (ed.), Vol. 8. New York: Plenum Press (in print)
Hourani, E., Hussonnois, M.: Chap. 6, Vol. 2, Ref. 2
Henning, W., Kutschera, W.: Chap. 7, Vol. 2, Ref. 2
Price, P.B., Barwick, S.W.: Chap. 8, Vol. 2, Ref. 2
Haşegan, D., Tretyakova, S.P.: Chap. 9, Vol. 2, Ref. 2
Poenaru, D.N., Ivaşcu, M., Mazilu, D., Ivaşcu, I., Hourani, E., Greiner, W.: Invited talk at the International Symposium. on Developments in Nuclear Cluster Dynamics, Sapporo, Japan, August 1–3, 1988
Poenaru, D.N., Ivaşcu, M.: Chaps. 3–5, Vol.2, Ref. 2; Invited talk at the Int. Conf. “Cluster '88”, Kyoto, Japan, July 25–29, 1988
Shi, Y.J., Swiatecki, W.: Nucl. Phys. A464, 205 (1987)
Greiner, M., Scheid, W.: J. Phys. G.12, L229 (1986)
Barranco, F., Broglia, R.A., Bertsch, G.F.: Phys. Rev. Lett.60, 507 (1988)
Moretto, L.G., Wozniak, G.J.: Preprint LBL-24558, 1987, Prog. Part. Nucl. Phys.21, 1 (1988)
Oganessian, Yu.Ts.: Lect. Notes Phys.33, 221 (1974); Invited lecture at Internat. School, Poiana-Braşov, Romania, August 29–September 8, 1988
Armbruster, P.: Invited talk at the International Conference “Cluster '88”, Kyoto, Japan, July 25–29, 1988
Münzenberg, G.: Rep. Progr. Phys.51, 57 (1988)
Price, P.B.: Private communication 1988
Gönnenwein, F., Börsig, B., Löffler, H.: In: Proc. International Symposium on Collective Dynamics, Bad Honnef 1986. David, P. (ed.), p. 29. Singapore: World Scientific 1987
Hulet, E.K. et al.: Phys. Rev. Lett.56, 313 (1986)
Hoffman, D.C., Somerville, L.P.: Chap. 1, Vol. 3, Ref. 2
Krappe, H.J., Nix, J.R., Sierk, A.J.: Phys. Rev. C20, 992 (1979)
Poenaru, D.N., Mazilu, D., Ivaşcu, M.: Comp. Phys. Commun.19, 205 (1980)
Maruhn, J.A., Greiner, W.: Phys. Rev. C13, 2404 (1976)
Sobiczewski, A.: Sov. J. Part. Nucl.10, 466 (1979)
Schneider, W., Maruhn, J.A., Greiner, W.: Z. Phys. A — Atomic Nuclei323, 111 (1986)
Ledergerber, T., Pauli, H.C.: Nucl. Phys. A207, 1 (1973)
Fink, H.J., Scheid, W., Greiner, W.: J. Phys. G.:1, 685 (1975)
Kröger, H., Scheid, W.: Phys. G.6, L85 (1980)
Foland, W.D., Present, R.D.: Phys. Rev.113, 613 (1959)
Kelson, I.: Phys. Rev.136, B 1667 (1964)
Hasse, R.W., Ebert, R., Süssmann, G.: Nucl. Phys. A106, 117 (1968)
Davies, K.T.R., Sierk, A.J., Nix, J.R.: Phys. Rev. C13, 2385 (1976)
Fontaine, M., Amiot, P.: Canad. J. Phys.57, 793 (1979)
Hasse, R.W.: Ann. Phys. (N.Y.)93, 68 (1975)
Ivaşcu, I.: St. Cerc. Fiz.40, 812 (1988)
Scheid, W., Greiner, W.: Z. Phys.226, 364 (1969)
Möller, P., Nix, J.R., Swiatecki, W.J.: Los Alamos Preprint La-UR-86-3266, 1986: Nucl. Phys. A469, 1 (1987)
Author information
Authors and Affiliations
Additional information
This work was partly supported by the Bundesministerium für Forschung und Technologie, and the Romanian State Committee for Nuclear Energy. One of us (DNP) is grateful to the German-Romanian programme for scientific research and technological development directed by the Stabsabteilung Internationale Beziehungen of the KfK Karlsruhe, for their support of the mutual collaboration.
Rights and permissions
About this article
Cite this article
Poenaru, D.N., Maruhn, J.A., Greiner, W. et al. Inertia and fission paths in a wide range of mass asymmetry. Z. Physik A - Atomic Nuclei 333, 291–298 (1989). https://doi.org/10.1007/BF01294517
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01294517