About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Publication
Physical Review A
Paper
Search procedure for multichannel resonances in electron-atom scattering
Abstract
A general computational procedure is described for locating electron-atom scattering resonances and for computing accurate values of the resonance parameters (eigenchannel vector, energy, width, and background eigenphase). The procedure makes use of the anomaly-free multichannel variational method and of the hierarchical continuum Bethe-Goldstone formalism published previously. Eigenvalues of the electronic Hamiltonian in a variational Hilbert space are located by an accurate procedure that takes advantage of analytic properties of the matrices constructed in a variational phase shift calculation. Without computing the Hilbert space eigenvector, effective bound-free matrix elements for a resonance are computed from residues of matrix elements that have poles at the Hilbert space eigenvalues. Each eigenvalue associated with a resonance defines an initial approximation to the resonance parameters, which are then refined by an iterative process that uses variational calculations of the eigen-phases. The proposed method combines the ability of stabilization methods to locate narrow resonances with an accurate computation of phase shifts in the resonant region. Calculations of electron-hydrogen resonances are given as examples of the method. © 1971 The American Physical Society.