Nearly normalized, distorted strong-potential Born state vector
Steven Alston · Physical Review A · 1995
Whether an approximate scattering state vector retains the normalized nature of its exact counterpart reflects on the quality of the approximation made. It is shown that the distorted-wave strong-potential Born state vector, employed in asymmetric electron-capture theory, is normalized (in a near-the-energy-shell approximation) to within a few percent, even at intermediate energies where capture is most likely. There is thus little need to renormalize the state, in contrast to the analogous undistorted state vector [J. Phys. B 25, 3823 (1992)], where a radical loss of normalization occurs.