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Beyond the time independent mean field theory for nuclear and atomic reactions: Inclusion of particle-hole correlations in a generalized random phase approximation

J. C. Lemm·B. G. Giraud·A. Weiguny
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Abstract

The time independent mean field method (TIMF) for scattering defines biorthonormal sets of single-particle wave functions and corresponding creation and annihilation operators. 2p - 2h correlations can be introduced through a generalized random phase approximation; 1p - 1h contributions vanish (Brillouin theorem). While the general variational method for scattering by Giraud and Nagarajan solves inhomogeneous Euler equations by inversion of the standard, hermitean Hamiltonian, the present approach diagonalizes a non-hermitean Hamiltonian, which carries the information about entrance and exit channels.

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J. C. Lemm, B. G. Giraud, A. Weiguny. 1999-11-16. Beyond the time independent mean field theory for nuclear and atomic reactions: Inclusion of particle-hole correlations in a generalized random phase approximation. https://doi.org/10.1103/physrevlett.73.420

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