Abstract
A generalized diffusion equation is propounded to follow the time evolution of an excited nucleus towards fission including along the particle decay. This theoretical model is built in order to try to analyse the anomalous behaviour of particle emission observed in many experimental data for heavy-ion induced reactions. Some calculations for the systems194Hg,170Yb and248Cf are presented. A possible extension of this generalized formalism is suggested to deal more consistently with the experimental data.
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Cheifetz, E., Fraenkel, Z., Galin, J., Lefort, M., Peter, J., Tarrago, X.: Phys. Rev. C2, 256 (1970)
Gavron, A., Beene, J.R., Cheynis, B., Ferguson, R.L., Obenshain, F.E., Plasil, F., Young, G.R., Petitt, G.A., Jääskelaïnen, M., Sarantites, D.G., Maguire, C.F.: Phys. Rev. Lett47, 1255 (1981); ibidem48, 835 (1982)
Britt, H.C., Gavron, A.: International Symposium on Nuclear Fission and Related Collective Phenomena, Bad Honnef, 1981. In: Lectures Notes in Physics. David, P., Mayer Kuckuk, T., Van der Woude, A. (eds.), Vol. 158, p. 24. Berlin, Heidelberg, New York: Springer 1982
Fraenkel, Z., Mayk, I., Unik, J.P., Gorski, A.J., Loveland, W.D.: Phys. Rev. C12, 1809 (1975)
Holub, E., Hilscher, D., Ingold, G., Jahnke, U., Orf, H., Rossner, H.: Phys. Rev. C28, 252 (1983)
Ward, D., Charity, R.J., Hinde, D.J., Leigh, J.R., Newton, J.O.: Nucl. Phys. A — Atoms and Nuclei403, 189 (1983)
Logan, D., Rajagopalan, M., Zisman, M.S., Alexander, J.M., Kaplan, M., Kowalski, L.: Phys. Rev. C22, 104 (1980
Logan, D., Delagrange, H., Rivet, M.F., Rajagopalan, M., Alexander, J.M., Kaplan, M., Zisman, M.S., Duek, E.: Phys. Rev. C22, 1080 (1980)
Rivet, M.F., Logan, D., Alexander, J.M., Guerreau, D., Duek, E., Zisman, M., Kaplan, M.: Phys. Rev. C25, 2430 (1982)
Rajagopalan, M., Logan, D., Ball, J.W., Kaplan, M., Delagrange, H., Rivet, M.F., Alexander, J.M., Vaz, L.C., Zisman, M.S.: Phys. Rev. C25, 2417 (1982)
Alexander, J.M., Delagrange, H., Rajagopalan, M., Rivet, M.F., Vaz, L.C.: Z. Phys. A — Atoms and Nuclei307, 149 (1982)
Kildir, M., Logan, D., Kaplan, M., Zisman, M.S., Guerreau, D., Alexander, J.M., Vaz, L.C.: Z. Phys. A — Atoms and Nuclei306, 323 (1982)
Kildir, M., Logan, D., Eriksen, D.O., Moses, D.J., Kaplan, M., Duek, E., Vaz, L.C., Ajitanand, N.N., Alexander, J.M., Zisman, M.S.: Z. Phys. A — Atoms and Nuclei317, 291 (1984)
Ajitanand, N.N., Alexander, J.M., Delagrange, H., Duek, E., Eriksen, D.O., Guerreau, D., Kaplan, M., Kildir, M., Kowalski, L., Lacey, R., Logan, D., Moses, D.J., Peaslee, G.F., Vaz, L.C., Zisman, M.S.: Z. Phys. A — Atoms and Nuclei316, 169 (1984)
Duek, E., Ajitanand, N.N., Alexander, J.M., Logan, D., Kildir, M., Kowalski, L., Vaz, L.C., Guerreau, D., Zisman, M.S., Kaplan, M.: Phys. Lett. B131, 297 (1983)
Duek, E., Ajitanand, N.N., Alexander, J.M., Logan, D., Kildir, M., Kowalski, L., Vaz, L.C., Guerreau, D., Zisman, M.S., Kaplan, M., Moses, D.J.: Z. Phys. A — Atoms and Nuclei317, 83 (1984)
Rivet, M.F., Gatty, B., Guillemot, H., Borderie, B., Bimbot, R., Forest, I., Galin, J., Gardes, D., Guerreau, D., Lefort, M., Tarrago, X., Tamain, B., Novicki, L.: Z. Phys. — Atoms and Nuclei307, 365 (1982)
Song, S., Rivet, M.F., Bimbot, R., Borderie, B., Forest, I., Galin, J., Gardes, D., Gatty, B., Lefort, M., Oeschler, H., Tamain, B., Tarrago, X.: Phys. Lett. B130, 14 (1983)
Schad, L., Ho, H., Fan, G.Y., Lindl, B., Pfoh, A., Wolski, R., Wurm, J.P.: Z. Phys. A — Atoms and Nuclei318, 179 (1984)
Borderie, B., Rivet, M.F., Cabot, C., Fabris, D., Gardes, D., Gauvin, H., Hanappe, F., Peter, J.: Z. Phys. A — Atoms and Nuclei316, 243 (1984)
Jacquet, D., Duek, B., Alexander, J.M., Borderie, B., Galin, J., Gardes, D., Guerreau, D., Lefort, M., Monnet, F., Rivet, M.F., Tarrago, X.: Phys. Rev. Lett. 53, 2226 (1984)
Jacquet, D., Galin, J., Borderie, B., Gardes, D., Guerreau, D., Lefort, M., Monnet, F., Rivet, M.F., Tarrago, X., Duek, E., Alexander, J.M.: IPNO-DRE-85-09 (1985) (Unpublished)
Auger, G., Jouan, D., Plagnol, E., Pougheon, F., Naulin, F., Doubre, H., Gregoire, C.: Z. Phys. A — Atoms and Nuclei321, 243 (1985)
Cohen, S., Plasil, F., Swiatecki, W.J.: Ann. Phys.82, 557 (1974)
Campi, X., Stringari, S.: Z. Phys. A — Atoms and Nuclei309, 239 (1983)
Brack, M., Guet, C., Häkansson, H.B.: Phys. Rep. C123, 275 (1985)
Bartel, B., Quentin, Ph.: Phys. Lett.152B, 29 (1985)
Kramers, H.A.: Physica VII, n∘ 4, 284 (1940)
Chandrasekhar, S.: Rev. Mod. Phys.15, 1 (1943)
Strutinski, V.M.: Phys. Lett.47B, 121 (1973)
Grangé, P., Jun-Qing, Li., Weidenmüller, H.A.: Phys. Rev. C27, 2063 (1983)
Westmeier, W., Rsterlund, R.A.: Z. Phys. A — Atoms and Nuclei316, 27 (1984)
Grégoire, C., Ngô, C., Remaud, B.: Nucl. Phys. A383, 392 (1982)
Grégoire, C., Ngô, C., Remaud, B.: Phys. Lett.99B, 17 (1981)
Hofmann, H., Siemens, P.J.: Nucl. Phys. A257, 165 (1976)
Dietrich, K.: Private communication
Grangé, P.: Nucl. Phys. A428, 37c (1984)
Hassani, S., Grangé, P.: Phys. Lett.137B, 281 (1984)
Myers, W.D.: Droplet model of atomic nuclei. New York: Plenum 1977
Dostrovsky, I., Fraenkel, Z., Friedlander, G.: Phys. Rev.116, 683 (1959)
McMahan, A.A., Alexander, J.M.: Phys. Rev. C21, 1261 (1980)
Töke, J., Swiatecki, W.J.: Nucl. Phys. A372, 141 (1981)
Delagrange, H., Abe, Y., Grégoire, C., Cartan, N.: (in preparation)
Bonche, P., Levit, S., Vautherin, D.: Nucl. Phys. A427, 278 (1984)
Brack, M., Damgaard, J., Jensen, A.S., Pauli, H.C., Strutinsky, V.M., Wong, C.Y.: Rev. Mod. Phys.44, 320 (1972)
Myers, W.D., Swiatecki, W.J.: Nucl. Phys.81, 1 (1966)
Scheuter, F., Hofmann, H.: Nucl. Phys. A394, 477 (1983)
Davies, K.T.R., Stierk, A.J., Nix, J.R.: Phys. Rev. C13, 2385 (1976)
Sierk, A.J., Nix, J.R.: Phys. Rev. C21, 982 (1980)
Grégoire, C., Scheuter, F.: Z. Phys. A — Atoms and Nuclei303, 337 (1981)
Scheuter, F., Grégoire, C.: Proceedings in XIIth International Symposium on Nuclear Physics (Gaussig, German Democratic Republic, 1982). Reif, R., Teichert, J. (eds.) (Zentralinstitut für Kernforschung, Rossendorf bei Dresden, 1982) Report no. ISSN 0138-2950, p. 102.
Scheuter, F., Grégoire, C., Hofmann, H., Nix, J.R.: Phys. Lett.149B, 303 (1984)
Hill, I.L., Wheeler, J.A.: Phys. Rev.89, 1102 (1953)
Nix, J.R., Sierk, A.: Private communication
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It is a pleasure to acknowledge numerous and stimulating discussions with our colleagues. We would like to thank especially J.M. Alexander, B. Borderie, N. Carjan, D. Guerreau, D. Jacquet, M. Lefort, W. Mittig, and M.F. Rivet. We appreciated also very much the contributions by P. Grangé and K. Dietrich at different stages of this work. One of us (Y. A.) warmly thanks the GANIL laboratory for the kind hospitality extended to him during his stay in Caen.
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Delagrange, H., Grégoire, C., Scheuter, F. et al. Dynamical decay of nuclei at high temperature: Competition between particle emission and fission decay. Z. Physik A - Atomic Nuclei 323, 437–449 (1986). https://doi.org/10.1007/BF01313524
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DOI: https://doi.org/10.1007/BF01313524