L. Malegat et al., Photo double-ionization of helium: A new approach combining R matrix and semiclassical techniques in an hyperspherical framework, J PHYS IV, 9(P6), 1999, pp. 85-88
We introduce a new method for computing photo double ionization (PDI) cross
sections for two electron atoms. It is formulated in terms of the hypersph
erical radius R and relies upon a combination of R matrix techniques in the
inner region R less than or equal to R-0 with a semi classical approximati
on for the R motion in the outer region. We present a first application of
this method to the PDI of He within a model of reduced dimensionality where
r1=r2. it demonstrates the validity of our numerical scheme and provides a
first quantitative estimate of the energy domain of validity of the Wannie
r mechanism.