Abstract
We present a barrier-penetration model for heavy-ion fusion valid from the lowest energies available up to the largest energies for which the critical-radius picture is realistic. The parameters of the model are a critical radius and the parameters of a nucleus-nucleus interaction, whose form factor can be chosen freely. Fusion cross sections for a large number of systems, for which low-energy data exist, are fitted with a Woods-Saxon potential. Realistic parameters are obtained for the Coulomb barrier. Different applications and some limitations of the model are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Vaz, L.C., Alexander, J.M., Satchler, G.R.: Phys. Rep.69, 373 (1981)
Bass, R.: Nuclear reactions with heavy ions. Berlin, Heidelberg, New York: Springer Verlag 1980
Krappe, H.J.: Proc. Symp. on Deep Inelastic and Fusion Reactions with Heavy Ions, Berlin, Germany, 1979. Lecture Notes in Physics. Von Oertzen, W. (ed.), Vol. 117, p. 312. Berlin, Heidelberg, New York: Springer Verlag 1980
Glas, D., Mosel, U.: Nucl. Phys. A237, 429 (1975)
Vigdor, S.E., Kovar, D.G., Sperr, P., Mahoney, J., Menchaca-Rocha, A., Olmer, C., Zisman, M.S.: Phys. Rev. C20, 2147 (1979)
Avishai, Y.: Z. Phys. A — Atoms and Nuclei286, 285 (1978)
Dethier, J.L., Stancu, F.: Phys. Rev. C23, 1503 (1981)
Lefort, M.: Proc. European Conf. on Nuclear Physics with Heavy Ions, Caen, France 1976, J. Phys. C5, 57 (1976)
Berry, M.V., Mount, K.E.: Rep. Prog. Phys.35, 314 (1972)
Brink, D.M., Takigawa, N.: Nucl. Phys. A279, 159 (1977)
Lee, S.Y., Takigawa, N.: Nucl. Phys. A308, 189 (1978)
Hill, D.L., Wheeler, J.A.: Phys. Rev.89, 1102 (1953)
Cheung, H.C., High, M.D., Čujec, B.: Nucl. Phys. A296, 333 (1978)
High, M.D., Čujec, B.: Nucl. Phys. A259, 513 (1976)
High, M.D., Čujec, B.: Nucl. Phys. A278, 149 (1977)
Switkowski, Z.E., Wu, S.C., Overley, J.C., Barnes, C.A.: Nucl. Phys. A289, 236 (1977)
Wu, S.C., Overley, J.C., Barnes, C.A., Switkowski, Z.E.: Nucl. Phys. A312, 177 (1978)
High, M.D., Čujec, B.: Nucl. Phys. A282, 181 (1977)
Mazarakis, M.G., Stephens, W.E.: Phys. Rev. C7, 1280 (1973)
Kovar, D.G., Geesaman, D.F., Braid, T.H., Eisen, Y., Henning, W., Ophel, T.R., Paul, M., Rehm, K.E., Sanders, S.J., Sperr, P., Schiffer, J.P., Tabor, S.L., Vigdor, S., Zeidman, B., Presser, F.W.Jr.: Phys. Rev. C20, 1305 (1979)
Namboodiri, M.N., Chulick, E.T., Natowitz, J.B.: Nucl. Phys. A263, 491 (1976)
Day-ras, R.A., Stokstad, R.G., Switkowski, Z.E., Wieland, R.M.: Nucl. Phys. A265, 153 (1976)
Chatterjee, M.L., Potvin, L., Čujec, B.: Nucl. Phys. A333, 273 (1980)
Switowski, Z.E., Stokstad, R.G., Wieland, R.M.: Nucl. Phys. A279, 502 (1977)
Conjeaud, M., Gary, S., Harar, S., Wieleczko, J.P.: Nucl. Phys. A309, 515 (1978)
Stokstad, R.G., Dayras, R.A., Gomez del Campo, J., Stelson, P.H., Olmer, C., Zisman, M.S.: Phys. Rev. Lett.70 B, 289 (1977)
Kuehner, J.A., Almqvist, E.: Phys. Rev.134 B, 1229 (1964)
Christensen, P.R., Switkowski, Z.E., Dayras, R.A.: Nucl. Phys. A280, 189 (1977)
Čujec, B., Barnes, C.A.: Nucl. Phys. A266, 461 (1976)
Sperr, P., Vigdor, S., Eisen, Y., Henning, W., Kovar, D.G., Ophel, T.R., Zeidman, B.: Phys. Rev. Lett.36, 405 (1976)
Switkowski, Z.E., Stokstad, R.G., Wieland, R.M.: Nucl. Phys. A274, 202 (1976)
Spinka, H., Winkler, H.: Nucl. Phys. A233, 456 (1974)
Tserruya, I., Eisen, Y., Pelte, D., Gavron, A., Oeschler, H., Berndt, D., Harney, H.L.: Phys. Rev. C18, 1688 (1978)
Birkelund, J.R., Tubbs, L.E., Huizenga, J.R., De, J.N., Sperber, D.: Phys. Rep.56, 109 (1979)
Hulke, G., Rolfs, C., Trautvetter, H.P.: Z. Phys. A — Atoms and Nuclei297, 161 (1980)
Christensen, P.R., Switkowski, Z.E.: Nucl. Phys. A280, 205 (1977)
Cheng, V.K.C., Little, A., Yuen, H.C., Lazarus, S.M., Hanna, S.S.: Nucl. Phys. A322, 168 (1979)
Kolata, J.J., Fuller, R.C., Freeman, R.M., Haas, F., Heusch, B., Gallmann, A.: Phys. Rev. C16, 891 (1977)
Reilly, W., Wieland, R., Gobbi, A., Sachs, M.W., Bromley, D.A.: Nuovo Cimento A13, 897 (1973)
Fowler, W.A., Gaughlan, G.R., Zimmerman, B.A.: Annu. Rev. Astron. Astrophys.13, 69 (1975)
Heenen, P.-H.: Phys. Lett.99 B, 298 (1981)
Eisen, Y., Tserruya, I., Eyal, Y., Fraenkel, Z., Hillman, M.: Nucl. Phys. A291, 459 (1977)
Lee, S.M., Higashi, Y., Nagashima, Y., Hanashima, S., Sato, M., Yamaguchi, H., Yamanouchi, M., Matsuse, T.: Phys. Lett.98 B, 418 (1981)
Dauk, J., Lieb, K.P., Kleinfeld, A.M.: Nucl. Phys. A241, 170 (1975)
Kozub, R.L., Lu, N.H., Miller, J.M., Logan, D., Debiak, T.W., Kowalski, L.: Phys. Rev. C11, 1497 (1975)
Back, B.B., Betts, R.R., Gaarde, C., Larsen, J.S., Michelsen, E., Tai Kuang-Hsi: Nucl. Phys. A285, 317 (1977)
Sikora, B., Bisplinghoff, J., Scobel, W., Beckerman, M., Blann, M.: Phys. Rev. C20, 2219 (1979)
Beckerman, M., Salomaa, M., Sperduto, A., Enge, H., Ball, J., DiRienzo, A., Gazes, S., Yan Chen, Molitoris, J.D., Mao NaiFeng: Phys. Rev. Lett.45, 1472 (1980)
Stokstad, R.G., Eisen, Y., Kaplanis, S., Pelte, D., Smilansky, U., Tserruya, I.: Phys. Rev. C21, 2427 (1980)
Stokstad, R.G., Reisdorf, W., Hildenbrand, K.D., Kratz, J.V., Wirth, G., Lucas, R., Poitou, J.: Z. Phys. A — Atoms and Nuclei295, 269 (1980)
Landowne, S., Nix, J.R.: Nucl. Phys. A368, 352 (1981)
Esbensen, H.: Nucl. Phys. A352, 147 (1981)
Vaz, L.C., Alexander, J.M.: Phys. Rev. C20, 2152 (1978) P. Descouvemont D. Baye P.-H. Heenen Physique Théorique et Mathematique C.P. 229, Université Libre de Bruxelles B-1050 Bruxelles Belgium
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Descouvemont, P., Baye, D. & Heenen, P.H. A barrier-penetration model for heavy-ion fusion, valid at all energies. Z Physik A 306, 79–88 (1982). https://doi.org/10.1007/BF01413412
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01413412