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 | ||||||||||||
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Divisions : | Faculty of Engineering and Physical Sciences > Physics | ||||||||||||
Authors : |
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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 : | 31 Oct 2017 16:29 | ||||||||||||
URI: | http://epubs.surrey.ac.uk/id/eprint/804647 |
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