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Journal of Physics B Atomic Molecular and Optical Physics

An investigation of model above-threshold photodetachment spectra

Andrzej Raczyński, Jarosław Zaremba

Published Feb 14, 1996• 4 citations
Publisher

Abstract

A model photodetachment is considered in a non-perturbative approach which takes into account an infinite number of virtual photon and electron states. Closed analytical formulae for the photoelectron spectrum are obtained which result from some properties of particular infinite band matrices. The formulae give account of the most characteristic features of the above-threshold detachment. A numerical example is given.

DOI
10.1088/0953-4075/29/3/012

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Physical Review A•Nov 1, 1988•9 citations
A model photodetachment is considered in a non-perturbative approach which takes into account an infinite number of virtual photon and electron states. Closed analytical formulae for the photoelectron spectrum are obtained which result from some properties of particular infinite band matrices. The formulae give account of the most characteristic features of the above-threshold detachment. A numerical example is given.
Near-threshold single-photon photodetachment processes are considered for simple model systems representing negative ions exposed to monochromatic radiation. The model systems considered feature an initial discrete state, the photoelectron continuum, and in some cases an excited or autodetaching discrete state. Population trapping through the formation of a bound dressed state and the photoelectron spectra are examined. Two photoelectron spectra are defined : a primary spectrum which results from decay while the laser interaction is on and a secondary spectrum which results from the destabilization of the bound dressed state if the interaction is turned off again. Careful attention is given to the passage of the poles of the Green's operator through the low-energy boundary of a continuum, and it is concluded that such poles move nonmonotonically through the boundary of an s-wave continuum, but monotonically through the boundary of a p-wave or higher-l-wave continuum. Two example systems, one featuring a single discrete state and an s-wave continuum and one featuring two discrete states and a p-wave continuum, are considered in detail.
A multichannel study of the photodetachment of a negative ion such as ${\mathrm{S}}^{\mathrm{\ensuremath{-}}}$ in the presence of a constant electric field is presented. The analysis is carried out as a series of frame transformations for the outgoing photoelectron. An earlier analysis in the absence of the external field is now augmented by the further transformations from spherical to cylindrical symmetry that are required. The interplay between the various thresholds due to fine structure in the negative ion and residual atom and the effects of the external field are analytically treated. The net effect is to eliminate the thresholds, to induce modulations in the detachment cross section, and to introduce field-assisted-tunneling contributions to the photodetachment. Numerical illustrations are provided. Our treatment closely parallels similar treatments of photoionization of neutral atoms in an electric field and of photodetachment in a magnetic field.