Abstract
π ±-Nucleus scattering cross sections are calculated applying the Watanabe superposition model with a phenomenological Woods-Saxon potential. The phenomenological potential parameters are searched for π ± scattering from 6Li and 12C to reproduce not only differential elastic cross sections but also inelastic and total and reaction cross sections at pion kinetic energies from 50 to 672 MeV. The optical potentials of 6Li and 12C are calculated in terms of the alpha particle and deuteron optical potentials. Inelastic scattering has been analyzed using the distorted waves from elastic-scattering data. The values of deformation lengths thus obtained compare very well with the ones reported earlier.
Similar content being viewed by others
References
Li Qing-Run, Nucl. Phys. A 415, 445 (1984).
L. E. Antonuk et al., Nucl. Phys. A 451, 741 (1986).
R. R. Kiziah et al., Phys. Rev. C 30, 1643 (1984).
P. D. Kunz, CHUCK3, a Coupled Channel Born Approximation Code (University of Colorado).
G. R. Satchler, Nucl. Phys. A 540, 533 (1992).
Md. A. E. Akhter, Sadia Afroze Sultanaa, H. M. Sen Gupta, and R. J. Peterson, J. Phys. G 27, 755 (2001).
A. A. Ebrahim, Eur. Phys. J. A 47(6), 74 (2011).
S. Watanabe, Nucl. Phys. A 8, 484 (1958).
S. A. E. Khallaf and A. A. Ebrahim, Phys. Rev. C 62, 024603 (2000).
K. W. Kemper, A. F. Zeller, T. R. Ophel, et al., Nucl. Phys. A 320, 413 (1979).
K. G. Boyer et al., Phys. Rev. C 29, 182 (1984).
M.W. Kermode, Proc. Phys. Soc. 84, 554 (1964).
J.W. Watson, Nucl. Phys. A 198, 129 (1972).
S. A. E. Khallaf, Fizika (Zagreb) 16, 285 (1984).
G. R. Satchler, Direct Nuclear Reactions (Oxford Univ. Press, New York, 1983).
S. A. E. Khallaf and A. A. Ebrahim, Phys. Rev. C 65, 064605 (2002).
A. Nadasen, M. McMaster, M. Fingal, et al., Phys. Rev. C 40, 1237 (1989).
R. J. Sobie et al., Phys. Rev. C 30, 1612 (1984).
L. E. Antonuk et al., Nucl. Phys. A 420, 435 (1984).
G. Kahrimanis et al., Phys. Rev. C 55, 2533 (1997).
F. Binon, P. Duteil, J. P. Garron, et al., Nucl. Phys. B 17, 168 (1970).
M. B. Johnson and G. R. Satchler, Ann. Phys. (N.Y.) 248, 134 (1996).
B. Körfgen, F. Osterfeld, and T. Udagawa, Phys. Rev. C 50, 1637 (1994).
M. M. Sternheim and E. H. Auerbach, Phys. Rev. Lett. 25, 1500 (1970).
A. A. Ebrahim and S. A. E. Khallaf, J. Phys. G 30, 83 (2004).
J. Vernotte, G. Berrier-Ronsin, J. Kalifa, and R. Tamisier, Nucl. Phys. A 390, 285 (1982).
G. R. Satchler and W. G. Love, Phys. Rep. 55, 183 (1979).
I. Brissaud, L. Bimbot, Y. Le Bornec, et al., Phys. Rev. C 11, 1537 (1975).
Bikash Sinha, Phys. Rev. C 11, 1546 (1975).
B. C. Parija, Phys. Rev. C 28, 453 (1983).
A. Saunders et al., Phys. Rev. C 53, 1745 (1996).
C. J. Gelderloos, J. T. Brack, M. D. Holcomb, et al., Phys. Rev. C 62, 024612 (2000).
K. Stricker, H. McManus, and J. A. Carr, Phys. Rev. C 19, 929 (1979).
A. S. Carroll, I. H. Chiang, C. B. Dover, et al., Phys. Rev. C 14, 635 (1976).
A. S. Clough et al., Nucl. Phys. B 76, 15 (1974).
C. Wilkin et al., Nucl. Phys. B 62, 61 (1973).
E. Friedman, A. Goldring, R. R. Johnson, et al., Phys. Lett. B 257, 17 (1991).
O. Meirav, E. Friedman, A. Altman, et al., Phys. Rev. C 36, 1066 (1987).
D. Ashery, I. Navon, G. Azuelos, et al., Phys. Rev. C 23, 2173 (1981).
C. B. Dover and G. E. Walker, Phys. Rep. 89, 1 (1982).
S. M. Smith, G. Tibell, A. A. Cowley, et al., Nucl. Phys. A 207, 273 (1973), and references therein.
A. S. Dem’yanova, E. F. Svinareva, S. A. Goncharov, et al., Nucl. Phys. A 542, 208 (1992).
M. E. Brandan and K. W. McVoy, Phys. Rev. C 43, 1140 (1991).
P. J. Moffa, C. B. Dover, and J. P. Vary, Phys. Rev. C 16, 1857 (1977).
R. E. Chrien, R. Sawafta, R. J. Peterson, et al., Nucl. Phys. A 625, 251 (1997).
F. Hinterberger, G. Mairle, U. Schmidt-Rohr, et al., Nucl. Phys. A 115, 570 (1968).
K. H. Bray, Mahavir jain, K. S. Jayaraman, et al., Nucl. Phys. A 189, 35 (1972).
W. B. Cottingame et al., Phys. Rev. C 36, 230 (1987).
O. Hansen, P. D. Bond, S. Kubono, et al., Nucl.Phys. A 398, 325 (1983).
W. F. Junkin and F. Villars, Ann. Phys. (N.Y.) 45, 93 (1967).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the author in English.
Rights and permissions
About this article
Cite this article
Ebrahim, A.A. Folding model analysis of pion elastic and inelastic scattering from 6Li and 12C. Phys. Atom. Nuclei 76, 435–449 (2013). https://doi.org/10.1134/S1063778813030071
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778813030071