Double photoionization: I. A new parametrization of the triple differential cross section from first principles

Abstract

We have combined a laboratory frame independent particle approach with a bodyfixed frame collective coordinates approach to derive new exact parametrizations of the triple differential cross section for double photoionization. The latter disentangle the kinematical from the dynamical effects to the largest possible extent. In addition, they provide an expansion of the so-called correlation factor with respect to the configurations of the electronic pair. The present approach is particularly suitable for the physical analysis of experimental data, as illustrated by the applications reported in the companion paper.

Circular dichroism at equal energy sharing in photo-double-ionization of He

“…Up to now, all theoretical treatments of CD have employed the EDA (Refs. [1,3,4,[6][7][8][9][10][11][12][13]) and their predictions are generally in agreement with experiments [12][13][14][15][16]. Measurement of CD provides a sensitive means for probing two-electron dynamics in PDI, since the photon-helicity-dependent CD term in the TDCS originates from an interference between real and imaginary parts of particular components of the (generally non-Hermitian) PDI amplitude [4,7].…”

“…1(a). In terms of the vectors p 1 ± p 2 and the symmetrized (gerade and ungerade) amplitudes a g,u [1,8,19]; note that f ͑g,u͒ =2a g,u .] The parametrization of our symmetrized amplitudes in terms of Legendre polynomials and reduced matrix elements follows immediately from that for the functions f͑p , pЈ , cos ͒ [7] and g͑p , pЈ , cos ͒, g s ͑p , pЈ , cos ͒ [18].…”

Recoil-ion and electron momentum spectroscopy: reaction-microscopes

“…First the electron-electron repulsion leads to almost no intensity for both electrons in the same half plane. Second, the 1 P o symmetry leads to a node in the square of the wave function at the point 2 1 k k r r − = (Huetz et al 1991;Schwarzkopf et al 1993;Maulbetsch and Briggs 1995;Malegat et al 1997). The corresponding data for left and right circular polarized light are shown in Figure 10 (b,c).…”

Double Photoionization of Endohedrally Confined Atoms

“…We have checked that this effect is enhanced when the final state Ψ cage C3 (r 1 , r 2 ) that includes the fullerene cage is used. Using the expansion proposed by Malegat et al [31,32] for the cross-sections, we obtained that the maximum single electron angular momentum rises to l max = 14 when the cage is included in the final state, compared to l max = 8 with the pure Coulombic final state.…”