Skip to main content
Log in

Effect of density-dependent nucleon-nucleon cross-section on elastic scattering

  • Published:
The European Physical Journal A - Hadrons and Nuclei Aims and scope Submit manuscript

Abstract.

A linear form of density-dependent total nucleon-nucleon (NN) cross-section that depends on the coordinates of the projectile and target is applied in the Glauber phase shift formula. The only free parameter in these calculations is the density-dependent parameter “\(\beta \)”, which is adjusted to obtain an agreement between the calculated angular distribution of the elastic-scattering cross-section and the corresponding experimental one. The elastic scattering of the 12C ion on the 12C ion target has been studied at incident energies of 300, 360, 1016, 1441 and 2400 MeV. The total reaction cross-section “ \(\sigma_{\rm r}\)” is also calculated with the obtained value of “\(\beta \)” for the same reactions. The obtained values of “ \(\sigma_{\rm r}\)” are compared with those obtained from the optical-model analysis as well as those of the experimental value. Nuclear transparency effects are also discussed. Generally, the density-dependent NN cross-section improves the calculated results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R.G. Glauber, Lectures on Theoretical Physics, Vol. I (Interscience, New York, 1959).

  2. J. Chauvin, A. Lounis, M. Buenerd, Phys. Rev. C 28, 1970 (1983).

    Article  Google Scholar 

  3. J. Chauvin, A. Lounis, M. Buenerd, J. Phys. G 11, 262 (1985).

    Article  Google Scholar 

  4. A. Vitturi, F. Zardi, Phys. Rev. C 36, 1404 (1987).

    Article  Google Scholar 

  5. S.M. Lenzi, A. Vitturi, F. Zardi, Phys. Rev. C 38, 2086 (1988).

    Article  Google Scholar 

  6. S.K. Charagi, S.K. Gupta, Phys. Rev. C 41, 1610 (1990).

    Article  Google Scholar 

  7. S.M. Lenzi, A. Vitturi, F. Zardi, Phys. Rev. C 40, 2114 (1989).

    Article  Google Scholar 

  8. M.K. Hegab, M.T. Hussein, N.M. Hassan, Z. Phys. A 336, 345 (1990).

    Google Scholar 

  9. J. Feng, W.Q. Shen, Y.G. Ma, Z.Y. Zhu, Phys. Lett. B 305, 9 (1993)

    Article  Google Scholar 

  10. Eiji I. Tanaka, Hisashi Horiuichi, Phys. Rev. C 54, 3170 (1996).

    Article  Google Scholar 

  11. D.A. Saloner, C. Toepffer, Nucl. Phys. A 283, 8 (1977)

    Google Scholar 

  12. G.Q. Li, R. Machleidt, Phys. Rev. C 48, 1702 (1993).

    Article  Google Scholar 

  13. G.Q. Li, R. Machleidt, Phys. Rev. C 49, 566 (1994).

    Article  Google Scholar 

  14. D. Klakow, G. Welke, W. Bauer, Phys. Rev. C 48, 1982 (1993).

    Article  Google Scholar 

  15. B.T. Haar, R. Malfliet, Phys. Rev. C 50, 31 (1994).

    Article  Google Scholar 

  16. Cai Xiangzhou, Phys. Rev. C 58, 572 (1998).

    Article  Google Scholar 

  17. A.Sh. Ghazal, Arab J. Nucl. Sci. Appl. 35, 159 (2002).

    Google Scholar 

  18. M.S.M. Nour El-Din, to be published in Egypt. J. Phys. (2004).

  19. V.K. Lukyanov, B. Stowinski, E.V. Zemlyanaya, Phys. At. Nucl. 64, 1273 (2001).

    Article  Google Scholar 

  20. Jurgen Schaffner-Bielich, J. Phys. G. 27, 337 (2001) and references therein.

    Article  Google Scholar 

  21. C.A. Bertulani, J. Phys. G. 27, L67 (2001).

  22. S.K. Charagi, S.K. Gupta, Phys. Rev. C 46, 1982 (1992).

    Article  Google Scholar 

  23. A.Y. Abul-Magd, M. Talib Ali-Alhiai, Nuovo Cimento A 110, 1281 (1997).

    Google Scholar 

  24. R. Hofstadter, Nuclear and Nucleon Structure (Benjamin, New York, 1963).

  25. J.Y. Hostachy, Nucl. Phys. A 490, 441 (1988)

    Article  Google Scholar 

  26. L. Ray, Phys. Rev. C 20, 1857 (1979).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Sh Ghazal.

Additional information

Communicated by A. Molinari

Received: 11 February 2003, Revised: 8 July 2003, Published online: 26 January 2004

PACS:

24.10.-i Nuclear-reaction models and methods - 25.70.-z Low and intermediate energy heavy-ion reactions

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghazal, A.S., Nour El-Din, M.S.M. & Hassan, M.Y.M. Effect of density-dependent nucleon-nucleon cross-section on elastic scattering. Eur. Phys. J. A 19, 221–229 (2004). https://doi.org/10.1140/epja/i2003-10101-8

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2003-10101-8

Keywords

Navigation