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arXiv · 1311.1989

Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - II. Numerical implementation at second order with a two-nucleon interaction

V. Soma·C. Barbieri·T. Duguet
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Abstract

The newly developed Gorkov-Green's function approach represents a promising path to the ab initio description of medium-mass open-shell nuclei. We discuss the implementation of the method at second order with a two-body interaction, with particular attention to the numerical solution of Gorkov's equation. Different sources of theoretical error and degrees of self-consistency are investigated. We show that Krylov projection techniques with a multi-pivot Lanczos algorithm efficiently handle the growth of poles in the one-body Green's function when Gorkov's equation is solved self-consistently. The end result is a tractable, accurate and gently scaling ab initio scheme applicable to full isotopic chains in the medium-mass region.

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V. Soma, C. Barbieri, T. Duguet. 2013-11-15. Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - II. Numerical implementation at second order with a two-nucleon interaction. https://doi.org/10.1103/physrevc.89.024323

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