S. Watanabe et al., PROGRESS AND APPLICATIONS OF THE HYPERSPHERICAL COORDINATE METHOD, Nuclear instruments & methods in physics research. Section B, Beam interactions with materials and atoms, 124(2-3), 1997, pp. 218-224
The hyperspherical method as we know now stems from the pioneering wor
k of Macek on doubly excited states of helium [J. Macek, J. Phys. B 1
(1968) 831]. It played an important role in classifying doubly excited
Rydberg series according to the radial normal modes [U. Fano, Phys, T
oday 29 (1976) 32] of the two electrons. We review not only its applic
ation to the classification of doubly excited states but its related t
echnical innovations that have turned the method into one of the most
reliable numerical schemes for handling scattering problems for three-
body systems. We take a glance at its wide applications from the low-e
nergy electron impact ionization of H through the fast proton/antiprot
on impact excitation of He.