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Recent results obtained by applying the method of self-consistent Green's functions to nuclei and nuclear matter are reviewed. Particular attention is given to the description of experimental data obtained from the (e,e'p) and (e,e'2N)…

Nuclear Theory · Physics 2009-11-10 W. H. Dickhoff , C. Barbieri

We review some applications of self-consistent Green's function theory to studies of one- and two-nucleon structure in finite nuclei. Large-scale microscopic calculations that employ realistic nuclear forces are now possible. Effects of…

Nuclear Theory · Physics 2015-05-18 C. Barbieri , M. Hjorth-Jensen , C. Giusti , F. D. Pacati

We discuss recent \emph{ab initio} calculations based on self-consistent Green's function theory. It is found that a simple extension of the formalism to account for two-nucleon scattering outside the model space allows to calculate…

Nuclear Theory · Physics 2018-03-14 Carlo Barbieri , Francesco Raimondi , Christopher McIlroy

I review the application of self-consistent Green's functions methods to study the properties of infinite nuclear systems. Improvements over the last decade, including the consistent treatment of three-nucleon forces and the development of…

Nuclear Theory · Physics 2020-06-19 A. Rios

We present results from a new ab-initio method that uses the self-consistent Gorkov Green's function theory to address truly open-shell systems. The formalism has been recently worked out up to second order and is implemented here in nuclei…

Nuclear Theory · Physics 2015-06-11 V. Soma , C. Barbieri , T. Duguet

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 semi-magic nuclei employing state-of-the-art microscopic…

Nuclear Theory · Physics 2015-05-30 V. Soma , T. Duguet , C. Barbieri

The structure of nucleon self-energy in nuclear matter is evaluated for various realistic models of the nucleon-nucleon (NN) interaction. Starting from the Brueckner-Hartree-Fock approximation without the usual angle-average approximation,…

Nuclear Theory · Physics 2009-11-07 T. Frick , Kh. Gad , H. Müther , P. Czerski

Homogeneous nuclear matter is investigated using the \textit{ab initio} Self-consistent Green's function (SCGF) approach with nuclear interactions based on chiral effective field theory. The employed method, which combines the…

Nuclear Theory · Physics 2026-02-13 Francesco Marino , Carlo Barbieri , Gianluca Colò , Weiguang Jiang , Samuel J. Novario

The present thesis aims at studying the properties of symmetric nuclear and pure neutron matter from a Green's functions point of view, including two-body and three-body chiral forces. An extended self-consistent Green's function formalism…

Nuclear Theory · Physics 2014-07-25 Arianna Carbone

Self-consistent Green's function theory has recently been extended to the basic formalism needed to account for three-body interactions [A. Carbone, A. Cipollone, C. Barbieri, A. Rios, and A. Polls, (Phys. Rev. C 88, 054326 (2013))]. The…

Nuclear Theory · Physics 2018-05-16 Francesco Raimondi , Carlo Barbieri

An approach is presented which allows a self-consistent description of the fragmentation of single-particle strength for nucleons in finite nuclei employing the Greens function formalism. The self-energy to be considered in the Dyson…

Nuclear Theory · Physics 2009-10-22 H. Müther , L. D. Skouras

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…

Nuclear Theory · Physics 2015-06-17 V. Soma , C. Barbieri , T. Duguet

Background. The Gorkov approach to self-consistent Green's function theory has been formulated in [V. Som\`a, T. Duguet, C. Barbieri, Phys. Rev. C 84, 064317 (2011)]. Over the past decade, it has become a method of reference for…

Nuclear Theory · Physics 2022-04-29 Carlo Barbieri , Thomas Duguet , Vittorio Somà

We compute inclusive electron-nucleus cross sections using ab initio spectral functions of $^4$He and $^{16}$O obtained within the Self Consistent Green's Function approach. The formalism adopted is based on the factorization of the…

Nuclear Theory · Physics 2018-08-15 N. Rocco , C. Barbieri

Long-range correlations, which are partially responsible for the observed fragmentation and depletion of low-lying single-particle strength, are studied in the Green's function formalism. The self-energy is expanded up to second order in…

Nuclear Theory · Physics 2009-10-30 Y. Dewulf , D. Van Neck , L. Van Daele , M. Waroquier

The method of many-body Green's functions is developed for arbitrary systems of electrons and nuclei starting from the full (beyond Born-Oppenheimer) Hamiltonian of Coulomb interactions and kinetic energies. The theory presented here…

Other Condensed Matter · Physics 2020-06-23 Ville J. Härkönen , Robert van Leeuwen , E. K. U. Gross

We present the fundamental techniques and working equations of many-body Green's function theory for calculating ground state properties and the spectral strength. Green's function methods closely relate to other polynomial scaling…

Nuclear Theory · Physics 2017-06-28 Carlo Barbieri , Arianna Carbone

A relativistic Green's function approach to inclusive quasielastic charged-current neutrino-nucleus scattering is developed. The components of the hadron tensor are written in terms of the single-particle Green's function, which is expanded…

Nuclear Theory · Physics 2009-11-10 Andrea Meucci , Carlotta Giusti , Franco Davide Pacati

To study the exotic odd nuclear systems, the self-consistent continuum Skyrme-Hartree-Fock-Bogoliubov theory formulated with Green's function technique is extended to include blocking effects with the equal filling approximation. Detailed…

Nuclear Theory · Physics 2019-05-22 Ting-Ting Sun , Zi-Xin Liu , Long Qian , Bing Wang , Wei Zhang

Advances in the self-consistent Green's function approach to finite nuclei are discussed, including the implementation of three-nucleon forces and the extension to the Gorkov formalism. We report results on binding energies in the nitrogen…

Nuclear Theory · Physics 2015-06-16 V. Soma , C. Barbieri , A. Cipollone , T. Duguet , P. Navratil
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