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Neutron matter is an ideal laboratory for nuclear interactions derived from chiral effective field theory since all contributions are predicted up to next-to-next-to-next-to-leading order (N$^3$LO) in the chiral expansion. By making use of…

Nuclear Theory · Physics 2016-12-12 C. Drischler , A. Carbone , K. Hebeler , A. Schwenk

The impact of three-nucleon forces (3NFs) along the oxygen chain is investigated for the spectral distribution for attachment and removal of a nucleon, spectroscopic factors and matter radii. We employ self-consistent Green's function…

Nuclear Theory · Physics 2017-07-14 A. Cipollone , C. Barbieri , P. Navrátil

Including finite-temperature effects from the electronic degrees of freedom in electronic structure calculations of semiconductors and metals is desired; however, in practice it remains exceedingly difficult when using zero-temperature…

Chemical Physics · Physics 2016-11-24 Alicia Rae Welden , Alexander A. Rusakov , Dominika Zgid

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

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

Microscopic calculations of neutrino-nucleus scattering cross sections are critical for the success of the neutrino-oscillation program. In addition to retaining nuclear correlations in the initial and final state of the reaction, they are…

Nuclear Theory · Physics 2023-04-25 Alexis Nikolakopoulos , Alessandro Lovato , Noemi Rocco

Green's function methods within many-body perturbation theory provide a general framework for treating electronic correlations in excited states. Here we investigate the cumulant form of the one-electron Green's function based on the…

Chemical Physics · Physics 2021-04-23 F. D. Vila , J. J. Rehr , J. J. Kas , K. Kowalski , B. Peng

A completely antisymmetrized Green's function approach to the inclusive quasielastic $(e,e')$ scattering, including a realistic one-body density, is presented. The single particle Green's function is expanded in terms of the eigenfunctions…

Nuclear Theory · Physics 2009-11-10 F. Capuzzi , C. Giusti , F. D. Pacati , D. N. Kadrev

We present the first Green's function Monte Carlo calculations of light nuclei with nuclear interactions derived from chiral effective field theory up to next-to-next-to-leading order. Up to this order, the interactions can be constructed…

Nuclear Theory · Physics 2014-11-11 J. E. Lynn , J. Carlson , E. Epelbaum , S. Gandolfi , A. Gezerlis , A. Schwenk

This introduction to Green's functions is based on their role as kernels of differential equations. The procedures to construct solutions to a differential equation with an external source or with an inhomogeneity term are put together to…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 Ursula Schröter

In this work we present a numerical method to solve the set of Dyson-like equations arising the context of non-equilibrium Green's functions. The technique is based on the self-consistent solution of the Dyson equations for the interacting…

Strongly Correlated Electrons · Physics 2019-09-04 N. W. Talarico , S. Maniscalco , N. Lo Gullo

The density and temperature dependence of the nuclear symmetry free energy is investigated using microscopic two- and three-body nuclear potentials constructed from chiral effective field theory. The nuclear force models and many-body…

Nuclear Theory · Physics 2016-03-23 Corbinian Wellenhofer , Jeremy W. Holt , Norbert Kaiser

We study Green's function and the large time behavior of the one-dimensional Euler-Maxwell System with relaxation. Firstly, we construct the Green's function of linearized system and obtain the optimal time decay rates of its solutions. And…

Analysis of PDEs · Mathematics 2025-04-30 Boyu Liang , Mingying Zhong

In calculating Green functions for interacting quantum systems numerically one often has to resort to finite systems which introduces a finite size level spacing. In order to describe the limit of system size going to infinity correctly,…

Strongly Correlated Electrons · Physics 2015-05-18 Peter Schmitteckert

The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in…

Nuclear Theory · Physics 2009-11-07 S. A. Fayans , S. V. Tolokonnikov , E. L. Trykov , D. Zawischa

The Green's function method which has been originally proposed for linear systems has several extensions to the case of nonlinear equations. A recent extension has been proposed to deal with certain applications in quantum field theory. The…

Mathematical Physics · Physics 2018-06-26 Marco Frasca , Asatur Khurshudyan

This article is devoted to deduce the expression of the Green's function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In this case, due to the points where some of the fractional…

Classical Analysis and ODEs · Mathematics 2022-12-20 Alberto Cabada , Nikolay D. Dimitrov , Jagan Mohan Jonnalagadda

The symmetry energy for nuclear matter and its relation to the neutron skin in finite nuclei is discussed. The symmetry energy as a function of density obtained in a self-consistent Green function approach is presented and compared to the…

Nuclear Theory · Physics 2009-11-10 A. E. L. Dieperink , Y. Dewulf , D. Van Neck , M. Waroquier , V. Rodin

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

The single-particle nuclear potential is intrinsically nonlocal. In this paper, we consider nonlocalities which arise from the many-body and fermionic nature of the nucleus. We investigate the effects of nonlocality in the nuclear potential…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , J. F. Beacom , M. A. Candido Ribeiro