Truncation scheme of time-dependent density-matrix approach II

Mitsuru Tohyama; Peter Schuck

Truncation scheme of time-dependent density-matrix approach II

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arxiv 1708.00569 v1 pith:YO4HOJ5Y submitted 2017-08-02 nucl-th

Mitsuru Tohyama , Peter Schuck This is my paper · ORCID

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A truncation scheme of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for reduced density matrices, where a three-body density matrix is approximated by two-body density matrices, is improved to take into account a normalization effect. The truncation scheme is tested for the Lipkin model. It is shown that the obtained results are in good agreement with the exact solutions.

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A new on-shell 3-to-3 collision integral for identical fermions is derived, and model calculations find it reduces nuclear matter relaxation times by up to a factor 3 versus two-body collisions alone.

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