Abstract
The inverse scattering problem at a fixed energy for a complex-valued potential is solved in the WKB approximation. The method is used to reconstruct the optical potential for elastic 16O + 16O scattering at E lab = 350 MeV. The stability of the solution against small changes in the scattering matrix is studied.
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References
H. J. Krappe and H. H. Rossner, Z. Phys. A 314, 149 (1983).
H. Leeb, H. Fiedeldey, and R. Lipperheide, Phys. Rev. C 32, 1223 (1985).
K. A. Gridnev and S. N. Fadeev, Izv. Akad. Nauk, Ser. Fiz. 68, 1106 (2004).
K. Chadan and F. C. Sabatier, Inverse Problems in Quantum Scattering Theory (Springer, Berlin, 1989; Mir, Moscow, 1980, transl. 1st ed.), ch. 16.
E. Stiliaris et al., Phys. Lett. B 223, 291 (1989).
D. T. Khoa et al., Nucl. Phys. A 672, 387 (2000).
H. M. Khalil, K.W. McVoy, and M. M. Shalaby, Nucl. Phys. A 455, 100 (1986).
S. Mukherjee and C. S. Shastry, Phys. Rev. 169, 1234 (1968).
J. A. McIntyre, K. H. Wang, and L. C. Becker, Phys. Rev. 117, 1337 (1960).
G. Hauser et al., Nucl. Phys. A 128, 81 (1969).
V. V. Pilipenko, Yad. Fiz. 62, 1576 (1999) [Phys. At. Nucl. 62, 1482 (1999)].
D. T. Khoa et al., Phys. Rev. Lett. 74, 34 (1995).
K. A. Gridnev et al., Nucl. Phys. A 722, 409c (2003).
L. J. Allen et al., Phys. Lett. B 298, 36 (1993).
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Original Russian Text © S.N. Fadeev, K.A. Gridnev, 2009, published in Yadernaya Fizika, 2009, Vol. 72, No. 1, pp. 53–60.
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Fadeev, S.N., Gridnev, K.A. On the reconstruction of an optical potential on the basis of experimental data in the WKB approximation. Phys. Atom. Nuclei 72, 47–54 (2009). https://doi.org/10.1134/S1063778809010062
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DOI: https://doi.org/10.1134/S1063778809010062