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- W2072437100 abstract "A general theory is developed of electron detachment in slow collisions of negative ions with atoms. This theory, which follows earlier ideas of Fano and of Demkov, is based on a semiclassical close-coupling framework. The assumptions involved are stated precisely. In general, they consist of: (i) semiclassical description of the nuclear motion; (ii) diabatic representation of electronic states, with a discrete state crossing a continuum; (iii) neglect of continuum–continuum couplings, (iv) linear or quadratic time-dependence of the energy gap between discrete and continuum states. With such assumptions, the Schrödinger equation is reduced to a non-denumerably infinite set of coupled equations. The solution to these equations is the main topic of this paper. It is shown that the solution depends on just two functions, a coupling function G ( E ) and an energy-gap function ∆ ( t ). A simple model for the coupling function is given. With reasonable assumptions about the energy gap ∆ ( t ), the coupled equations can be solved. The final result of this paper is a formula for the S -matrix, which contains all probabilities and phases associated with the collision." @default.
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- W2072437100 date "1982-01-08" @default.
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- W2072437100 title "Theory of electron detachment in collisions of negative ions with atoms I. Close-coupling formalism and solution to a model" @default.
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- W2072437100 doi "https://doi.org/10.1098/rspa.1982.0012" @default.
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