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Ab initio self-consistent Gorkov-Green's function calculations of semimagic nuclei: Formalism at second order with a two-nucleon

Somà, V, Duguet, T and Barbieri, C (2011) Ab initio self-consistent Gorkov-Green's function calculations of semimagic nuclei: Formalism at second order with a two-nucleon Physical Review C (Nuclear Physics), 84 (6). ISSN 0556-2813

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Abstract

An ab initio calculation scheme for finite nuclei based on self-consistent Green's functions in the Gorkov formalism is developed. It aims at describing properties of doubly magic and semimagic nuclei employing state-of-the-art microscopic nuclear interactions and explicitly treating pairing correlations through the breaking of U(1) symmetry associated with particle number conservation. The present paper introduces the formalism necessary to undertake applications at (self-consistent) second order using two-nucleon interactions in a detailed and self-contained fashion. First applications of such a scheme will be reported soon in a forthcoming publication. Future works will extend the present scheme to include three-nucleon interactions and implement more advanced truncation schemes.

Item Type: Article
Additional Information: Copyright 2011 American Physical Society.
Divisions: Faculty of Engineering and Physical Sciences > Physics
Depositing User: Symplectic Elements
Date Deposited: 25 Jan 2012 10:00
Last Modified: 23 Sep 2013 19:01
URI: http://epubs.surrey.ac.uk/id/eprint/121079

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