J. Berakdar, INCORPORATION OF THRESHOLD PHENOMENA IN 3-BODY COULOMB CONTINUUM WAVE-FUNCTIONS, Australian journal of physics, 49(6), 1996, pp. 1095-1108
In this work a three-body Coulomb wavefunction for the description of
two continuum electrons moving in the field of a nucleus is constructe
d such that the Wannier threshold law for double escape is reproduced
and the asymptotic Coulomb boundary conditions as well as the Kato cus
p conditions are satisfied. It is shown that the absolute value of the
total cross section, as well as the spin asymmetry, are well describe
d by the present approach. Further, the excess-energy sharing between
the two escaping electrons is calculated and analysed in light of the
Wannier theory predictions. This is the first time an analytical three
-body wavefunction is presented which is asymptotically exact and capa
ble of describing threshold phenomena.