Self-Consistent RPA based on a Many-Body Vacuum

Details Self-Consistent RPA based on a Many-Body Vacuum Self-Consistent RPA based on a Many-Body Vacuum

2010-11-23

arxiv.org/abs/1011.5106v1

Physics

Nuclear Physics

Nuclear Theory

8 pages, 4 figures

Scientific paper

Self-Consistent RPA is extended in a way so that it is compatable with a variational ansatz for the ground state wave function as a fermionic many-body vacuum. Employing the usual equation of motion technique, we arrive at extended RPA equations of the Self Consistent RPA structure. In principle the Pauli principle is, therefore, fully respected. However, the correlation functions entering the RPA matrix can only be obtained from a systematic expansion in powers of some combinations of RPA amplitudes. We demonstrate for a model case that this expansion may converge rapidly.

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