Abstract
Approximations to exact wave functions for the scattering of few-particle systems often involve components corresponding to the interaction of two of the particles “off the energy-shell”. Several examples arising in the collision of ions and photons with atoms are given. An expansion in partial waves leads to an off-shell radial wave function. The defining differential equation is solved here numerically with particular emphasis on the behaviour arising from two-body potentials of long-range Coulomb form. The transition to shell of the radial wave functions, Jost functions and solutions andT-matrix elements is discussed for both short-range and Coulomb potentials. It is shown that the approximation of a Coulomb potential by a shorter-range form involves little error when sufficiently far off the energy shell.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Macek, J., Alston, S.: Phys. Rev. A26, 250 (1982)
Briggs, J.S.: J. Phys. B: At. Mol. Phys.10, 3075 (1977)
Mizuno, J.: J. Phys. B: At. Mol. Phys.6, 314 (1973)
Jost, R.: Helv. Phys. Acta20, 256 (1947)
Fuda, M.G., Whiting, J.S.: Phys. Rev. C8, 1255 (1973)
Haeringen, H. van: Phys. Rev. A18, 56 (1978)
Dušek, J.: Czech. J. Phys. B33, 593 (1983)
Haeringen, H. van: J. Math. Phys.20, 2520 (1979)
Dušek, J.: J. Math. Phys.25, 982 (1984)
Kolsrud, M.: J. Phys. A11, 1271 (1978)