Periodic orbits and binary collisions in the classical three-body Coulomb problem

Sano, Mitsusada M.; Tanikawa, Kiyotaka

doi:10.1016/j.physleta.2008.06.094

Cited by 2 publications

(1 citation statement)

References 22 publications

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“…In the case of helium, however, this link remains rather formal, as only part of the helium spectrum is so far understood in semiclassical terms. These limitations can be traced back to the fact that the high-dimensional classical phase space of the helium atom remains itself in its largest parts unexplored beyond the vicinity of one-dimensional (1D) configurations and the triple-collision point [9,20], but also more fundamentally to the absence of an established semiclassical theory to describe the decay rates of an open quantum system such as helium [21].…”

Section: Introductionmentioning

confidence: 99%

Extracting partial decay rates of helium from complex rotation: autoionizing resonances of the one-dimensional configurations

Zimmermann¹,

Lugan²,

Jörder³

et al. 2014

J. Phys. B: At. Mol. Opt. Phys.

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Partial autoionization rates of doubly excited one-dimensional helium in the collinear Zee and eZe configuration are obtained by means of the complex rotation method. The approach presented here relies on a projection of back-rotated resonance wave functions onto singly ionized He + channel wave functions and the computation of the corresponding particle fluxes. In spite of the long-range nature of the Coulomb potential between the electrons and the nucleus, an asymptotic region where the fluxes are stationary is clearly observed. Low-lying doubly excited states are found to decay predomintantly into the nearest singleionization continuum. This approach paves the way for a systematic analysis of the decay rates observed in higher-dimensional models, and of the role of electronic correlations and atomic structure in recent photoionization experiments.

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Section: Introductionmentioning

confidence: 99%