Skip to main content
SpringerLink
Log in

Cluster Model Analysis of Pion Elastic and Inelastic Scattering from 12C

  • Nuclear Physics
  • Published:
Brazilian Journal of Physics Aims and scope Submit manuscript

Abstract

Angular distributions of differential cross sections for the 12C(π ±, π ±)12C and 12C(π ±, π ±)12C* reactions at pion kinetic energy ranging from 50 to 260 MeV have been analyzed with the 3α-particle model of 12C. The model provides good fits to a wide range of data. Differential cross sections for inelastic transitions to the (2 + ; 4.44 MeV) and (3 − ; 9.64 MeV) states in 12C are computed and the deformation lengths δ 2 and δ 3 are extracted. It is found that the extracted deformation lengths are sensitive to the nuclear model used and similar to the corresponding values found with other probes and nuclear models.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. R.A. Eisenstein, G.A. Miller, Comput. Phys. Commun. 11, 95 (1976)

    Article  ADS  Google Scholar 

  2. E. Friedman, et al., Phys. Rev. C 72, 034609 (2005)

    Article  ADS  Google Scholar 

  3. M. Döring, E. Oset, Phys. Rev. C 77, 024602 (2008)

    Article  Google Scholar 

  4. M.B. Johnson, Phys. Rev. C 22, 192 (1980)

    Article  ADS  Google Scholar 

  5. M.B. Johnson, E.R. Siciliano, Phys. Rev. C 27, 1647 (1983)

    Article  ADS  Google Scholar 

  6. L.S. Kisslinger, Phys. Rev. 98, 761 (1955)

    Article  ADS  MATH  Google Scholar 

  7. G. Fäldt, Phys. Rev. C 5, 400 (1972)

    Article  ADS  Google Scholar 

  8. M.B. Johnson, G.R. Satchler, Ann. Phys. N.Y. 248, 134 (1996)

    Article  ADS  Google Scholar 

  9. M. Krell, T.E.O. Ericson, Nucl. Phys. B 11, 521 (1969)

    Article  ADS  Google Scholar 

  10. G.R. Satchler, Nucl. Phys. A 540, 533 (1992)

    Article  ADS  Google Scholar 

  11. S.A.E. Khallaf, A.A. Ebrahim, Phys. Rev. C 62, 024603 (2000)

    Article  ADS  Google Scholar 

  12. S.A.E. Khallaf, A.A. Ebrahim, Phys. Rev. C 65, 064605 (2002)

    Article  ADS  Google Scholar 

  13. P.D. Kunz, DWUCK4 Computer Code, University of Colorado (unpublished)

  14. F. Binon, P. Duteil, J.P. Garron, J. Gorres, L. Hugon, J.P. Peigneux, C. Schmit, M. Spighel, J.P. Stroot, Nucl. Phys. B 17, 168 (1970)

    Article  ADS  Google Scholar 

  15. R.J. Sobie, et al., Phys. Rev. C 30, 1612 (1984)

    Article  ADS  Google Scholar 

  16. J. Bartel, M.B. Johnson, M.K. Singham, Ann. Phys. (N.Y.) 196, 89 (1989)

    Article  ADS  Google Scholar 

  17. S.J. Greene, et al., Phys. Rev. C 30, 2003 (1984)

    Article  ADS  Google Scholar 

  18. R.A. Gilman, Ph.D. dissertation, University of Pennsylvania (1985)

  19. S.A.E. Khallaf, A.A. Ebrahim, Phys. Rev. C 54, 2499 (1996)

    Article  Google Scholar 

  20. G.R. Satchler, W.G. Love, Phys. Rep. 55, 193 (1979)

    Article  ADS  Google Scholar 

  21. M.W. Kermode, Proc. Phys. Soc. 84, 554 (1964)

    Article  ADS  Google Scholar 

  22. S.A.E. Khallaf, M. El-Azab, Atomkernenergie/Kerntechnik 37, 294 (1981)

    Google Scholar 

  23. L. Qing-Run, Nucl. Phys. A 415, 445 (1984)

    Article  ADS  Google Scholar 

  24. S.A.E. Khallaf, M. Abdelrahman, S. Abdelraheem, S. Mahmoud, Jpn. J. Appl. Phys. 37, 657 (1988)

    Article  ADS  Google Scholar 

  25. K. Stricker, H. McManus, J.A. Carr, Phys. Rev. C 19, 929 (1979)

    Article  ADS  Google Scholar 

  26. J. Hüfner, Phys. Rep. 21C, 1 (1975)

    Article  ADS  Google Scholar 

  27. Md.A.E. Akhter, S.A. Sultana, H.M. sen Gupta, R.J. Peterson, J. Phys. G 27, 755 (2001)

    Article  ADS  Google Scholar 

  28. S.M. Smith, G. Tibell, A.A. Cowley, D.A. Goldberg, H.G. Pugh, W. Reichart, N.S. Wall, Nucl. Phys. A 207, 273 (1973) and references therein

    Article  ADS  Google Scholar 

  29. A.S. Dem’ yanova, E.F. Svinareva, S.A. Goncharov, S.N. Ershov, F.A. Gareev, G.S. Kazacha, A.A. Ogloblin, J.S. Vaagen, Nucl. Phys. A 542, 208 (1992)

    Article  ADS  Google Scholar 

  30. M.E. Brandan, K.W. McVoy, Phys. Rev. C 43, 1140 (1991)

    Article  ADS  Google Scholar 

  31. P.J. Moffa, C.B. Dover, J.P. Vary, Phys. Rev. C 16, 1857 (1977)

    Article  ADS  Google Scholar 

  32. A.A. Ebrahim, S.A.E. Khallaf, Phys. Rev. C 66, 044614 (2002)

    Article  ADS  Google Scholar 

  33. A. Saunders, S. Høibråten, J.J. Kraushaar, B.J. Kriss, R.J. Peterson, R.A. Ristinen, J.T. Brack, G. Hofman, E.F. Gibson, C.L. Morris, Phys. Rev. C 53, 1745 (1996)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

I would like to thank Professor R.J. Peterson, University of Colorado at Boulder, for a careful reading of the manuscript and for providing me with second-order parameters.

Author information

Authors and Affiliations

  1. Physics Department, Assiut University, Assiut, 71516, Egypt

    Ahmed A. Ebrahim

Authors
  1. Ahmed A. Ebrahim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ahmed A. Ebrahim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ebrahim, A.A. Cluster Model Analysis of Pion Elastic and Inelastic Scattering from 12C. Braz J Phys 41, 146–153 (2011). https://doi.org/10.1007/s13538-011-0022-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13538-011-0022-5

Keywords

Search

Navigation