Low-energy scattering by nonspherically symmetric targets

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 2, 1999, Pages 1253-1261

  Rosenberg, Leonard ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001264632     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.1253     Document Type: Article

References (22)

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7. M. J. Cavagnero, Phys. Rev. A 50, 2841 (1994).
8. An extension to include a long-range Coulomb tail in the effective potential has been made recently; see L. Rosenberg, Phys. Rev. A. 58, 2864 (1998).
9. L. Rosenberg, Phys. Rev. A 57, 1862 (1998).
10. S. Swain, J. Phys. A 8, 1277 (1975)
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13. More precisely, the choice (Formula presented) rather than (Formula presented) is arbitrary; it makes the channel assignments unique.
14. Polarization phase shifts, while real in the example just cited, will generally take on complex values for large enough coupling strengths. For simplicity, it will be assumed in the following that they remain real. A careful numerical study of the behavior of polarization phases for single-channel scattering in an inverse fourth-power potential, for a range of values of the polarizability, has been made by N. A. W. Holzwarth, J. Math. Phys. 14, 191 (1973).
15. See also, D. B. Khrebtukov, J. Phys. A 26, 6357 (1993).
16. H. Feshbach, Ann. Phys. (N.Y.) 5, 357 (1958).
17. Here we follow the formally similar treatment of atomic interactions in a laser field given in Ref. 9.
18. L. Mower, Phys. Rev. 142, 799 (1966).
19. The normalization condition (Formula presented) is clearly energy independent and the same is true for the orthogonality condition (Formula presented) in second order. These conditions may, therefore, be verified at zero energy, in which limit we have (Formula presented) The stated relation (Formula presented) then follows.
20. L. Rosenberg, Phys. Rev. C 58, 1385 (1998).
21. A minimum principle of this type was originally derived for the case of single-channel potential scattering by T. Ohmura, Phys. Rev. 124, 130 (1961)
22. Phys. Rev.based on an earlier version given by L. Rosenberg, L. Spruch, and T. F. O’Malley, 118, 184 (1960).