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On the interpretation of heavy-ion sub-barrier fusion data

  • Nuclei
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Zeitschrift für Physik A Atoms and Nuclei

Abstract

We study the well-known deviation of measured fusion cross-sections below the barrier from predictions of one-dimensional tunnelling models. A simple parametrisation of measured excitation functions is discussed which allows to identify a smooth general trend depending only on gross nuclear properties. The parametrisation is substantiated by quantum mechanically exact calculations in a two-dimensional tunnelling model. Various possibilities for the geometrical interpretation of the second degree of freedom are discussed. Neck formation is identified as the most probable degree of freedom effecting the overall behavior of sub-barrier fusion.

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References

  1. Kuehner, J.A., Almqvist, E.: Phys. Rev.134, B1229 (1964)

    Google Scholar 

  2. Spinka, H., Winkler, H.: Nucl. Phys.A233, 456 (1974)

    Google Scholar 

  3. Scobel, W., Mignerey, A., Blann, M., Gutbrod, H.H.: Phys. Rev. C11, 1701 (1975)

    Google Scholar 

  4. Eyal, Y., Beckerman, M., Chechik, R., Fraenkel, Z., Stocker, H.: Phys. Rev. C13, 1527 (1976)

    Google Scholar 

  5. High, M.D., Cujec, B.: Nucl. Phys. A259, 513 (1976); A282, 181 (1977)

    Google Scholar 

  6. Switkowski, Z.E., Stokstad, R.G., Wieland, R.M.: Nucl. Phys. A274, 202 (1976); A279, 502 (1977)

    Google Scholar 

  7. Switkowski, Z.E., Shiu-Chin Wu, Overley, J.C., Barnes, C.A.: Nucl. Phys. A289, 236 (1977); A312, 177 (1978)

    Google Scholar 

  8. Christensen, P.R., Switkowski, Z.E., Dayras, R.A.: Nucl. Phys. A280, 189 (1977)

    Google Scholar 

  9. Kolata, J.J., Fuller, R.C., Freeman, R.M., Haas, F., Heusch, B., Gallmann, A.: Phys. Rev. C16, 891 (1977)

    Google Scholar 

  10. Tserruya, I., Eisen, Y., Pelte, D., Gavron, A., Oeschler, H., Berndt, D., Harney, H.L.: Phys. Rev. C18, 1688 (1978)

    Google Scholar 

  11. Cheng, V.K.C., Little, A., Yuen, H.C., Lazarus, S.M., Hanna, S.S.: Nucl. Phys. A322, 168 (1979)

    Google Scholar 

  12. Sikora, B., Bisplinghoff, J., Scobel, W., Beckerman, M., Blann, M.: Phys. Rev. C20, 2219 (1979)

    Google Scholar 

  13. Hulke, G., Rolfs, C., Trautvetter, H.P.: Z. Phys. A — Atoms and Nuclei297, 161 (1980)

    Google Scholar 

  14. Stokstad, R.G., Eisen, Y., Kaplanis, S., Pelte, D., Smilansky, U., Tserruya, I.: Phys. Rev. Lett.41, 465 (1978); Phys. Rev. C21, 2427 (1980)

    Google Scholar 

  15. 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)

    Google Scholar 

  16. Reisdorf, W., Heßberger, F.P., Hildenbrand, K.D., Hofmann, S., Kratz, J.V., Münzenberg, G., Schlitt, K., Schmidt, K.H., Schneider, J.H.R., Schneider, W.F.W., Sümmerer, K., Wirth, G.: Phys Rev. Lett49, 1811 (1982); Proceedings of the Int. WorkshopX on Gross Properties of Nuclei and Nuclear Excitations, Hirschegg, Austria, 1982, ed. H. Feldmeier, TH Darmstadt report ISSN-0720-8715, 1982

    Google Scholar 

  17. Beckerman, M., Salomaa, M., Sperduto, A., Enge, H., Ball, J., Di Rienzo, A., Gazes, S., Yan Chen, Molitoris, J.D., Mao Nai-Feng: Phys. Rev. Lett.45, 1472 (1980)

    Google Scholar 

  18. Beckerman, M., Ball, J., Enge, H., Sperduto, A., Gazes, S., Di Rienzo, A., Molitoris, J.D.: Phys. Rev. C23, 1581 (1981)

    Google Scholar 

  19. Beckerman, M., Salomaa, M., Sperduto, A., Molitoris, J.D., Di Rienzo, A.: Phys. Rev. C25, 837 (1982)

    Google Scholar 

  20. Beckerman, M., Salomaa, M.K., Wiggins, J., Rohe, R.: Phys. Rev. Lett.50, 471 (1983)

    Google Scholar 

  21. Jahnke, U., Rossner, H.H., Hilscher, D., Holub, E.: Phys. Rev. Lett.48, 17 (1982)

    Google Scholar 

  22. Pengo, R., Rudolph, K., Löbner, K.E.G., Quade, U., Skorka, S.J., Weidl, I.: Proc. Intern. Conf. on Heavy-Ion Physics and Nuclear Physics, Catania 1983, Contributed Papers (Instituto Nazionale di Fisica Nucleare, Roma 1983) p. 170

    Google Scholar 

  23. Krappe, H.J., Nix, J.R., Sierk, A.J.: Phys. Rev. C20, 992 (1979)

    Google Scholar 

  24. Krappe, H.J.: Deep Inelastic and Fusion Reactions in Heavy Ions. In: Lecture Notes in Physics. Oertzen, W. von (ed.), Vol. 117, p. 312. Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

  25. Vaz, L.C., Alexander, J.M., Satchler, G.R.: Phys. Rep.69, 373 (1981)

    Google Scholar 

  26. Stokstad, R.G., Gross, E.E.: Phys. Rev. C23, 281 (1981)

    Google Scholar 

  27. Esbensen, H.: Nucl. Phys. A352, 147 (1981)

    Google Scholar 

  28. Landowne, S., Nix, J.R.: Nucl. Phys. A368, 352 (1981)

    Google Scholar 

  29. Jaqaman, H.R., Jahnke, U.: Preprint, Berlin 1982

  30. Lipperheide, R., Rossner, H., Massmann, H.: Nucl. Phys. A394, 312 (1983)

    Google Scholar 

  31. Jacobs, P.M., Smilansky, U.: Phys. Lett.:127B 313 (1983)

    Google Scholar 

  32. Rasmussen, J., Sugawara-Tanabe, K.: Nucl. Phys. A171, 496 (1971)

    Google Scholar 

  33. Vaz, L.C., Alexander, J.M.: Phys. Rev. C10, 464 (1974)

    Google Scholar 

  34. Blocki, J., Randrup, J., Swiatecki, W.J., Tsang, C.F.: Ann. Phys. (N.Y.)105, 427 (1977)

    Google Scholar 

  35. Davies, K.T.R., Sierk, A.J., Nix, J.R.: Phys. Rev. C28, 679 (1983)

    Google Scholar 

  36. Swiatecki, W.: Phys. Scr.24, 113 (1981)

    Google Scholar 

  37. Krappe, H.J.: Nucl. Phys. A269, 493 (1976)

    Google Scholar 

  38. Christensen, P.R., Switkowski, Z.E.: Nucl. Phys. A280, 205 (1977)

    Google Scholar 

  39. Rawitscher, G.H.: Nucl. Phys.85, 337 (1963)

    Google Scholar 

  40. Vaz, L.C., Alexander, J.M., Prakash, M., Lee, S.Y.: Proc. Int. Conf. on Nuclear Physics with Heavy Ions, Stony Brook, N.Y., 1983, Vol. IV, Nucl. Sci. Research Conf. Series, Amsterdam: Harwood Academic Publisher 1983

    Google Scholar 

  41. Broglia, R.A.: Proc. Int. Conf. on Heavy-Ion Physics and Nuclear Physics, Catania 1983

  42. Hinde, D.J., Leigh, J.R., Newton, J.O., Galster, W., Sie, S.: Nucl. Phys. A385, 109 (1982)

    Google Scholar 

  43. Massmann, H., Möhring, K., Ring, P.: J. Chem. Phys.66, 5368 (1977)

    Google Scholar 

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Krappe, H.J., Möhring, K., Nemes, M.C. et al. On the interpretation of heavy-ion sub-barrier fusion data. Z Physik A 314, 23–31 (1983). https://doi.org/10.1007/BF01411825

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  • DOI: https://doi.org/10.1007/BF01411825

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