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Refractive scattering and the nuclear rainbow in the interaction of12, 13C with12C at 20MeV/N

  • Nuclei
  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

The elastic and inelastic scattering and the neutron transfer have been measured for the systems12C +12C and13C +12C at 20MeV/N up to θcm= 60° with theQ3D -spectrometer. The angular distributions of the elastic scattering show an enhanced cross section at angles larger than 40°. It can be identified as refractive scattering with the clear signature of a nuclear rainbow.L-cut-off calculations show that these contributions come fromL-values which are significantly lower than the grazingL-value. The deflection function has a broad minimum in thisL-range which is typical for rainbow scattering. TheS-matrix is decomposed by a phenomenological parametrization into a refractive and a diffractive part. The interference of these amplitudes plays an important role in the rainbow enhancement. The spatial localization of the refractive scattering is deduced from the turning points of the corresponding trajectories; a localization between 2.5 fm and 4 fm is found. Semi-classical calculations with complex trajectories in the single-turning-point approximation show good agreement with the quantummechanical calculations. Refractive contributions are not observed in the inelastic scattering. This can be explained by reducing the strength of the conventional collective form factor in the internal region. In contrast to this the enhancement at large angles is seen in the one-neutron transfer channels where the refractive scattering is dominant. This is the first observation of such contributions to heavy-ion transfer reactions.

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References

  1. Knoll, J., Schaeffer, R.: Ann. Phys.97, 307 (1976)

    Google Scholar 

  2. McVoy, K.W., Satchler, G.R.: Nucl. Phys. A417, 157 (1984)

    Google Scholar 

  3. Frahn, W.E.: Treatise on heavy-ion science. Bromley, D.A. (ed.), Vol. 1, p. 216. New York, London: Plenum Press 1984

    Google Scholar 

  4. Goldberg, D.A., Smith, S.M.: Phys. Rev. Lett.33, 715 (1974)

    Google Scholar 

  5. Cook, J., Gils, H.J., Rebel, H., Majka, Z., Klewe-Nebenius, H.: KFK-report 3233 (1981), KFK Karlsruhe

  6. DeVries, R.M., Goldberg, D.A., Watson, J.W., Zisman, M.S., Cramer, J.G.: Phys. Rev. Lett.39, 450 (1977)

    Google Scholar 

  7. Bohlen, H.G., Clover, M.R., Ingold, G., Lettau, H., Oertzen, W. von: Z. Phys. A — Atoms and Nuclei308, 121 (1982)

    Google Scholar 

  8. Brandan, M.E.: Phys. Rev. Lett.49, 1132 (1982)

    Google Scholar 

  9. Cole, A.J., Rae, W.D.M., Brandan, M.E., Dacal, A., Harvey, B.G., Legrain, R., Murphy, M.J., Stokstad, R.G.: Phys. Rev. Lett.47, 1705 (1981)

    Google Scholar 

  10. Buenerd, M., Lounis, A., Chauvin, J., Lebrun, D., Martin, P., Duhamel, G., Gondrand, J.G., Saintignon, P. de: Nucl. Phys. A424, 313 (1984)

    Google Scholar 

  11. Buenerd, M., Martin, P., Bertholet, R., Guet, C., Maurel, M., Mongey, J., Nifenecker, H., Pinston, J., Perrin, P., Schussler, F., Julien, J., Bondorf, J.P., Carlen, L., Gustafsson, H.A., Jakobsson, B., Johannson, T., Kristiansson, P., Nielsen, O.B., Oskarsson, A., Otterlund, I., Ryde, H., Schröder, B., Tibell, G.: Phys. Rev. C26, 1299 (1982)

    Google Scholar 

  12. Satchler, G.R., Fulmer, C.B., Auble, R.L., Ball, J.B., Bertrand, F.E., Erb, K.A., Gross, E.E., Hensley, D.C.: Phys. Lett.128B, 147 (1983)

    Google Scholar 

  13. Fröbrich, P., Kaufmann, P.: Nucl. Phys. A307, 297 (1978)

    Google Scholar 

  14. Koeling, T., Malfliet, R.: Phys. Rep.22C, 183 (1975)

    Google Scholar 

  15. Rowley, N., Marty, C.: J. Phys. G2, 217 (1976)

    Google Scholar 

  16. Avishai, Y., Knoll, J.: Z. Phys. A — Atoms and Nuclei279, 415 (1976)

    Google Scholar 

  17. Landowne, S., Dasso, C.H., Nilsson, B.S., Broglia, R.A., Winther, A.: Nucl. Phys. A259, 99 (1976)

    Google Scholar 

  18. Brink, D.M., Takigawa, N.: Nucl. Phys. A279, 159 (1977)

    Google Scholar 

  19. Cramer, J.G., DeVries, R.M.: Phys. Rev. C22, 91 (1980)

    Google Scholar 

  20. Fuller, R.C.: Phys. Rev. C12, 1561 (1975)

    Google Scholar 

  21. Bohlen, H.G.: Proceedings of the Geiger Memorial Symposium, Berlin. In: Lecture Notes in Physics. Vol. 178, p. 105. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  22. Lettau, H., Bohlen, H.G., Rossner, H., Oertzen, W. von, Martin, M.: Nucl. Instrum. Methods213, 187 (1983)

    Google Scholar 

  23. Sakuragi, Y., Yahiro, M., Kamimura, M.: Proceedings of the 1983 RCNP Int. Symposium on Light Ion Reaction Mechanism, Osaka, p. 84 (1983)

  24. Sakuragi, Y., Kamimura, M.: Phys. Lett.149B, 307 (1984)

    Google Scholar 

  25. Coupled channel code ECIS, Raynal, J.: Saclay, private communication

  26. Specht, J., Schweiner, G.W., Rebel, H., Schatz, G., Löhken, R., Hauser, G.: Nucl. Phys. A171, 65 (1971)

    Google Scholar 

  27. Finite range DWBA code Ptolemy, McFarlane, M.M., Pieper, S.C.: Argonne National Laboratory, private communication

  28. Cohen, S., Kurath, D.: Nucl. Phys. A101, 1 (1967)

    Google Scholar 

  29. Oertzen, W. von, Imanishi, B.: Nucl. Phys. A424, 262 (1984)

    Google Scholar 

  30. Fulmer, C.B., Wieland, R.M., Hensley, D.C., Raman, S., Satchler, G.R., Snell, A.H., Stelson, Ph.H., Stokstad, R.G.: Phys. Rev. C20, 670 (1979)

    Google Scholar 

  31. Fröbrich, P., Kaufmann, P.: Phys. Lett.154B, 24 (1985)

    Google Scholar 

  32. Zisman, M.S., Cramer, J.G., Goldberg, D.A., Watson, J.W., DeVries, R.M.: Phys. Rev. C21, 2398 (1980)

    Google Scholar 

  33. Jager, C.W. de, DeVries, H., DeVries, C.: At. Data Nucl. Data Tables14, 479 (1974)

    Google Scholar 

  34. DaSilveira, R., Leclercq-Willain, Ch.: J. Phys. (Paris) C6, 395 (1984)

    Google Scholar 

  35. Fäldt, G., Ingemarsson, A.: Phys. Scr.28, 454 (1983)

    Google Scholar 

  36. Baeza, A., Diaz, J., Ferrero, J.L., Bilwes, B., Bilwes, R., Raynal, J.: Phys. Lett.149B, 73 (1984)

    Google Scholar 

  37. Friedman, E., Batty, C.J.: Phys. Rev. C17, 34 (1978)

    Google Scholar 

  38. Brissaud, I., Brussel, M.K.: J. Phys. G3, 481 (1977)

    Google Scholar 

  39. Put, L.W., Paans, A.M.: Nucl. Phys. A291, 93 (1977)

    Google Scholar 

  40. Michel, F., Vanderporten, R.: Phys. Rev. C16, 142 (1977)

    Google Scholar 

  41. Robertson, P.L.: Phys. Rev. C22, 482 (1980)

    Google Scholar 

  42. Krappe, H.J., Rossner, H.: Z. Phys. A — Atoms and Nuclei314, 149 (1983)

    Google Scholar 

  43. Gils, H.J., Friedman, E., Rebel, H., Buschmann, J., Zagromski, S., Klewe-Nebenius, H., Neumann, B., Pesl, R., Bechtold, G.: Phys. Rev. C21, 1239 (1980)

    Google Scholar 

  44. Rebel, H., Pesl, R., Gils, H.J., Friedman, E.: Nucl. Phys. A368, 61 (1981)

    Google Scholar 

  45. Satchler, G.R., Fulmer, C.B., Auble, R.L., Ball, J.B., Bertrand, F.E., Erb, K.A., Gross, E.E., Hensley, D.C.: Phys. Lett.128B, 147 (1983)

    Google Scholar 

  46. Fulmer, C.B., Satchler, G.R., Erb, K.A., Hensley, D.C., Auble, R.L., Ball, J.B., Bertrand, F.E., Gross, E.E.: Nucl. Phys. A427, 545 (1984)

    Google Scholar 

  47. Miczaika, A.: Thesis, HMI Berlin (1985)

    Google Scholar 

  48. Bohlen, H.G., Ossenbrink, H., Lettau, H., Oertzen, W. von: Z. Phys. A — Atoms and Nuclei320, 237 (1985)

    Google Scholar 

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Authors and Affiliations

  1. Hahn-Meitner-Institut für Kernforschung, Berlin, Germany

    H. G. Bohlen, X. S. Chen, J. G. Cramer, P. Fröbrich, B. Gebauer, H. Lettau, A. Miczaika, W. von Oertzen, R. Ulrich & T. Wilpert

  2. Fachbereich Physik, Freie Universität Berlin, D-1000, Berlin 39, Germany

    P. Fröbrich & W. von Oertzen

  3. Institute of Nuclear Research, Academia Sinica, P.O.B. 8204, 201849, Shanghai, The Peoples Republic of China

    X. S. Chen

  4. Department of Physics, University of Washington, 98195, Seattle, WA, USA

    J. G. Cramer

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  1. H. G. Bohlen
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  2. X. S. Chen
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  3. J. G. Cramer
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  4. P. Fröbrich
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  5. B. Gebauer
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  6. H. Lettau
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  7. A. Miczaika
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  8. W. von Oertzen
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  9. R. Ulrich
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  10. T. Wilpert
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Additional information

On leave from the Institute of Nuclear Research, Shanghai, The Peoples Republic of China

On leave from Department of Physics, University of Wahington, Seattle, WA98195, USA

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Bohlen, H.G., Chen, X.S., Cramer, J.G. et al. Refractive scattering and the nuclear rainbow in the interaction of12, 13C with12C at 20MeV/N. Z Physik A 322, 241–261 (1985). https://doi.org/10.1007/BF01411889

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  • DOI: https://doi.org/10.1007/BF01411889

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