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Role of the nuclear surface in the formation of total cross sections for heavy-ion reactions

  • Nuclei
  • Theory
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Abstract

Within the Glauber-Sitenko approach, a procedure for calculating cross sections for intermediate-energy heavy-ion reactions is developed by using the analytic form of the eikonal phase for the symmetrized Woods-Saxon potential. The differential and total cross sections obtained on this basis comply well with the results derived by numerically solving the wave equation. A clear and instructive model of the phase is constructed, which makes it possible to separate, in total reaction cross sections, the contributions of the internal and the peripheral region of interaction. It is found that the nuclear surface plays an important role in the formation of reaction cross sections, and the effect of the Coulomb field on these cross sections is investigated. The origin of a continuous ambiguity in optical potentials is revealed in interpreting total cross sections.

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References

  1. J.-S. Wan et al., Kerntechnik 63, 167 (1998).

    Google Scholar 

  2. R. J. Glauber, in Lectures on Theoretical Physics (Interscience, New York, 1959), Vol. 1.

    Google Scholar 

  3. A. G. Sitenko, Ukr. Fiz. Zh. 4, 152 (1957).

    Google Scholar 

  4. P. J. Karol, Phys. Rev. C 11, 1203 (1975).

    Article  ADS  Google Scholar 

  5. S. Charagi and G. Gupta, Phys. Rev. C 41, 1610 (1990).

    Article  ADS  Google Scholar 

  6. A. Abul-Magd and A. Talib Ali-Alhinai, Nuovo Cimento A 110, 1281 (1997).

    ADS  Google Scholar 

  7. O. D. Dalkarov and V. A. Karmanov, Nucl. Phys. A 445, 579 (1985).

    ADS  Google Scholar 

  8. J. R. Shepard and E. Rost, Phys. Rev. C 25, 2660 (1982).

    ADS  Google Scholar 

  9. V. K. Lukyanov and E. V. Zemlyanaya, J. Phys. G 26, 357 (2000); Preprint No. E4-99-260, JINR (Joint Institute for Nuclear Research, Dubna, 1999).

    Article  ADS  Google Scholar 

  10. V. K. Lukyanov, E. V. Zemlyanaya, and A. V. Embulaev, Preprint No. E4-99-291, JINR (Joint Institute for Nuclear Research, Dubna, 1999).

  11. Yu. N. Eldyshev, V. K. Luk’yanov, and Yu. S. Pol’, Yad. Fiz. 16, 506 (1972) [Sov. J. Nucl. Phys. 16, 282 (1973)].

    Google Scholar 

  12. V. V. Burov, Yu. N. Eldyshev, V. K. Lukyanov, and Yu. S. Pol’, Preprint No. E4-8029, JINR (Joint Institute for Nuclear Research, Dubna, 1974).

  13. M. Grypeos, C. Koutroulos, V. Lukyanov, and A. Shebeko, J. Phys. G 24, 1913 (1998).

    Article  ADS  Google Scholar 

  14. D. W. L. Sprung and J. Martorell, J. Phys. A 30, 6525 (1997).

    Article  ADS  MathSciNet  Google Scholar 

  15. M. Buenerd et al., Nucl. Phys. A 424, 313 (1984).

    ADS  Google Scholar 

  16. J. Y. Hostachy et al., Phys. Lett. B 184, 139 (1987).

    ADS  Google Scholar 

  17. V. K. Lukyanov, Yad. Fiz. 58, 1955 (1995) [Phys. At. Nucl. 58, 1848 (1995)].

    Google Scholar 

  18. A. Vitturi and F. Zardi, Phys. Rev. C 38, 2086 (1988).

    ADS  Google Scholar 

  19. P. Rossel-Chomaz et al., Nucl. Phys. A 477, 345 (1988).

    ADS  Google Scholar 

  20. B. Slowinski, Yad. Fiz. 19, 595 (1974) [Sov. J. Nucl. Phys. 19, 301 (1974)].

    Google Scholar 

  21. G. D. Satchler, Direct Nuclear Reactions (Clarendon, Oxford, 1983).

    Google Scholar 

  22. G. Igo, Phys. Rev. 115, 1665 (1959).

    Article  ADS  Google Scholar 

Download references

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Translated from Yadernaya Fizika, Vol. 64, No. 7, 2001, pp. 1349–1357.

Original Russian Text Copyright © 2001 by Lukyanov, Słowinski, Zemlyanaya.

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Lukyanov, V.K., Słowinski, B. & Zemlyanaya, E.V. Role of the nuclear surface in the formation of total cross sections for heavy-ion reactions. Phys. Atom. Nuclei 64, 1273–1281 (2001). https://doi.org/10.1134/1.1389554

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  • DOI: https://doi.org/10.1134/1.1389554

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