The double photoionization of an atom is considered in the near-threshold domain. The angular correlation pattern is analyzed for an arbitrary sharing of the excess energy by the electrons. The motion over the hyperspherical radius R is treated semiclassically which casts the problem in a nonstationary form. For motion over the hyperspherical angle α the set of classical trajectories is considered. They converge to the same (R→∞) limit which corresponds to a chosen energy-sharing ratio. For each α(R) trajectory the quantum wave packet (over the correlation angle ${\mathrm{\theta }}_{12}$) is propagated from the inner zone to the region of free-electron motion. At the border of the reaction zone a realistic boundary condition is imposed. The cross sections exhibit a weak dependence on the energy-sharing ratio.

• Received 20 January 1995

DOI:https://doi.org/10.1103/PhysRevA.51.3698