G. Gasaneo et al., MULTIVARIABLE HYPERGEOMETRIC SOLUTIONS FOR 3 CHARGED-PARTICLES, Journal of physics. B, Atomic molecular and optical physics, 30(8), 1997, pp. 265
We present a new wavefunction which describes the ion-atom problem abo
ve the ionization threshold. This is an approximate solution of the Sc
hrodinger equation for the three-body Coulomb problem that can be expr
essed in terms of a confluent hypergeometric function of two variables
. The proposed wavefunction includes correlation among the motions of
the three particles and verifies the correct Coulombic asymptotic beha
viours.