Abstract
Double differential cross sections of all prominent transfer channels have been measured in the systems33S +99,91,92Zr at two energies close to the nominal Coulomb barrier. In addition the fusion excitation functions of these systems have been measured below and around the barrier. The angular- andQ-distributions of the most important transfer reactions have been analysed in the framework of a simple semiclassical formalism. Particularly the two-nucleon transfer angular distributions exhibit strong multi step coupling effects which manifest themselves in reduced cross sections at large angles corresponding to close distances. From the angular distributions at forward angles, where a single step character of the transfer reaction can be assumed, approximate form factors have been extracted employing a first order perturbation theory. Within the uncertainties of a schematic coupled channels calculation the isotopic differences of the sub-barrier fusion enhancement can be understood on the basis of the isotopic differences of the transfer form factors andQ-values.
Similar content being viewed by others
References
Beckerman, M.: Rep. Prog. Phys.51, 1047 (1988)
See for example: Dasso, C.H., Landowne, S., Winther, A.: Nucl. Phys.A405 381 (1983); Rhoades-Brown, M.J., Braun-Münzinger, P.: Phys. Lett.136B, 19 (1984); Landowne, S., Pieper, S.C.: Phys. Rev.C29, 1352 (1984)
Esbensen, H., Landowne, S.: Phys. Rev.C35, 2090 (1987)
See for example: Skorka, S.J.: Proc. Beijing Int. Symp. on Physics at Tandem, May 1986. Chenglie, J., Shounan, L., Zuxun, S., Huanqiao, Z. (eds.), p. 399. Singapore: World Scientific 1986; Proceedings of the Symposium “The Many Facets of Heavy Ion Fusion Reactions”. Argonne 1986, ANL-PHY-86-1. Proceedings of the Symposium “Heavy Ion Interactions around the Coulomb Barrier” Legnaro 1988. In: Lecture Notes in Physics. Signorini, C., Skorka, S., Spolaore, P., Vitturi, A. (eds.), Vol. 317. Berlin, Heidelberg, New York: Springer 1988 71
Aguiar, C.E., Barbosa, V.C., Canto, L.F., Donangelo, R.: Phys. Lett.B201, 22 (1988); Phys. Rev.C38, 541 (1988)
Henning, W., Wolfs, F.L.H., Schiffer, J.P., Rehm, K.E.: Phys. Rev. Lett.58, 318 (1987)
Stefanini, A.M., Montagnoli, G., Fortuna, G., Menegazzo, R., Beghini, S., Signorini, C., Derosa, A., Inglima, G., Sandoli, M., Rizzo, F., Pappalardo, G., Cardella, G.: Phys. Lett.B185, 15 (1987)
Beckermann, M., Salomaa, M., Sperduto, A., Molitoris, J.D., DiRienzo, A.: Phys. Rev.C25, 837 (1982); Schicker, R., Alamanos, N., Braun-Munzinger, P., Stachel, J., Waters, L.: Phys. Lett.B206, 9 (1988); Wiggins, J., Brooks, R., Beckerman, M., Gazes, S.B., Grodzins, L., Smith, A.P., Steadman, S.G., Xiao, Y., Videbaek, F.: Phys. Rev.C31, 1315 (1985); Rehm, K.E., Wolfs, F.L.H., Van den Berg, A.M., Henning, W.: Phys. Rev. Lett.55, 280 (1985)
Wolfs, F.L.H., Henning, W., Rehm, K.E., Schiffer, J.P.: Phys. Lett. B196, 113 (1987)
Esbensen, H., Landowne, S.: Nucl. Phys.A492, 473 (1989). See references herein for earlier theoretical work
e.g. Landowne, S., Pieper, S.C., Videbaeck, F.: Phys. Rev.C35, 597 (1987)
Skorka, S.J., Stefanini, A.M., Fortuna, G., Pengo, R., Meczynski, W., Montagnoli, G., Tivelli, A., Beghini, S., Signorini, C., Pascholati, P.R.: Z. Phys. A — Atomic Nuclei328, 355 (1987)
Breit, G., Ebel, M.E.: Phys. Rev.103, 679 (1956); Breit, G.: Phys. Rev.B135, 1323 (1964)
Buttle, P.J.A., Goldfarb, L.J.B.: Nucl. Phys.78, 409 (1966); Nucl. Phys.A176, 299 (1971)
Siekmann, H., Gebauer, B., Bohlen, H.G., Kluge, H., Von Oertzen, W., Fröbrich, P., Strack, B., Hildenbrand, K.D., Sann, H., Lynen, U.: Z. Phys. A — Atoms and Nuclei307, 113 (1982)
Macchiavelli, A.O., Deleplanque, M.A., Diamond, R.M., Stephens, F.S., Dines, E.L., Draper, J.E.: Nucl. Phys.A432, 436 (1985)
Von Oertzen, W., Bohlen, H.G., Gebauer, B., Künkel, R., Pühlhofer, F., Schüll, D.: Z. Phys. A — Atomic Nuclei326, 463 (1987)
Betts, R.R., Evans, P.M., Pass, C.N., Poffe, N., Smith, A.E., Stuttge, L., Lilley, J.S., Banes, D.W., Connell, K.A., Simpson, J., Smith, J.R.H., James, A.N., Fuiton, B.R.: Phys. Rev. Lett.59, 978 (1987)
Sanders, S.J., Back, B.B., Betts, R.R., Henderson, D., Janssens, R.V.F., Rehm, K.E., Videbaek, F.: Phys. Rev.C37, 1318 (1988)
Dasso, C.H., Landowne, S.: Phys. Lett.B183, 141 (1987)
Dasso, C.H., Landowne, S., Winther, A.: Nucl. Phys.A407, 221 (1983)
Corradi, L., Lenz, U., Löbner, K.E.G., Pascholati, P.R., Quade, U., Rudolph, K., Schomburg, W., Skorka, S.J., Thies, H.G., Montagnoli, G., Napoli, D.R., Pengo, R., Scarlassara, F., Stefanini, A.M., Tivelli, A., Beghini, S., Signorini, C.: Proceedings of the Symposium on Heavy Ion Interactions around the Coulomb Barrier, Legnaro 1988. In: Lecture Notes in Physics. Signorini, C., Skorka, S., Spolaore, P., Vitturi, A. (eds.), Vol. 317, p. 131. Berlin, Heidelberg, New York: Springer 1988
Stefanini, A.M., Fortuna, G., Pengo, R., Meczynski, W., Montagnoli, G., Corradi, L., Tivelli, A., Beghini, S., Signorini, C., Lunardi, S., Morando, M., Soramel, F.: Nucl. Phys.A456, 509 (1986)
Vaz, L.C., Alexander, J.M., Satchler, G.R.: Phys. Rep.69, 373 (1981)
Christensen, P.R., Winther, A.: Phys. Lett.65B, 19 (1976)
Quade, U., Rudolph, K., Siegert, G.: Nucl. Instrum. Methods164, 435 (1979); Rudolph, K., Evers, D., Konrad, P., Löbner, K.E.G., Quade, U., Skorka, SJ., Weidl, I.: Nucl. Instrum. Methods204, 407 (1983)
Broglia, R.A., Winther, A.: Heavy Ion Reactions. Vol. I, 174ff. Menlo Park: Benjamin/Cummings, 1981
Von Oertzen, W.: Proceedings of the JAERI Int. Symp. on “Heavy-Ion Reaction Dynamics in Tandem Energy Region”. p. 125. Tokyo: Universal Academy Press (1988)
Christensen, P.R., Manko, V.l., Becchetti, F.D., Nickles, R.J.: Nucl. Phys.A207, 33 (1973)
De Boer, F.W.N., Wollersheim, H.J., Emling, H., Grein, H., Grosse, E., Spreng, W., Eckert, G., Elze, Th.W., Stelzer, K., Lauterbach, Ch.: Z. Phys. A — Atomic Nuclei325, 457 (1986)
Juutinen, S., Liu, X.T., Srensen, S., Cox, B., Kincaid, R.W., Bingham, C.R., Guidry, M.W., Kernan, W.J., Wu, C.Y., Vogt, E., Czosnyka, T., Cline, D., Halbert, M.L., Lee, I.Y., Baktash, C.: Phys. Lett.B192, 307 (1987)
Wu, C.Y., Liu, X.T., Kernan, W.J., Cline, D., Czosnyka, T., Guidry, M.W., Kavka, A.E., Kincaid, R.W., Kotlinski, B., Sorensen, S.P., Vogt, E.: Phys. Rev.C39, 298 (1989)
Van den Berg, A.M., Rehm, K.E., Kovar, D.G., Kutschera, W., Stephans, G.S.F.: Phys. Lett.B194, 334 (1987)
Schwalm, D., Warburton, E.K., Olness, J.W.: Nucl. Phys. A293, 425 (1977)
Raman, S., Malarkey, C.H., Milner, W.T., Nestor, Jr., C.W., Stelson, P.H.: At. Data Nucl. Data Tables36, 1 (1987)
Kocher, D.C.: Nucl. Data Sheets16, 55 (1975)
Endt, P.M.: At. Data Nucl. Data Tables26, 47 (1981)
Horodynski-Matsushigue, L.B., Borello-Lewin, T., Dietzsch, Phys. Rev.C33, 1594 (1986)
Dasso, C.H., Landowne, S.: Z. Phys. A — Atoms and Nu322, 175 (1985)
Author information
Authors and Affiliations
Additional information
We like to acknowledge very helpful discussions with and valuable suggestions from H. Wolter, C.H. Dasso, W. Henning, S. Landowne and W.v. Oertzen. Thanks are also due to Mr. J. Simovic for his help in setting up the equipment for the transfer measurements and to the tandem staff of Legnaro for their professional operation of the accelerator.
This work has been partially funded by the German Federal Ministry for Research and Technology (BMFT) under the contract number of 06LM177.