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

Somà, V, Barbieri, C and Duguet, T (2013) Ab-initio self-consistent Gorkov-Green’s function calculations of semi-magic nuclei II. Numerical implementation at second order with a two-nucleon interaction Physical Review C: Nuclear Physics. (Submitted)

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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 investi- gated. 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.

Item Type:	Article
Divisions :	Faculty of Engineering and Physical Sciences > Physics
Authors :	Authors Email ORCID Somà, V UNSPECIFIED UNSPECIFIED Barbieri, C UNSPECIFIED UNSPECIFIED Duguet, T UNSPECIFIED UNSPECIFIED
Date :	8 November 2013
Additional Information :	Copyright 2013 The American Physical Society.
Depositing User :	Symplectic Elements
Date Deposited :	16 Dec 2013 14:54
Last Modified :	09 Jun 2014 13:48
URI:	http://epubs.surrey.ac.uk/id/eprint/804647

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