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An {\em ab initio} (i.e., from first principles) theoretical framework capable of providing a unified description of the structure and low-energy reaction properties of light nuclei is desirable to further our understanding of the…

Nuclear Theory · Physics 2016-04-20 S. Quaglioni , G. Hupin , A. Calci , P. Navratil , R. Roth

We formulate a new scheme of the Hartree-Fock-Bogoliubov mean-field theory applicable to weakly bound and pair correlated deformed nuclei using the coordinate-space Green's function technique. On the basis of a coupled-channel…

Nuclear Theory · Physics 2009-08-20 Hiroshi Oba , Masayuki Matsuo

The present paper is comprised of two parts. First, we give a brief survey of the theoretical framework for microscopic nuclear structure calculations starting from a free nucleon-nucleon potential. Then, we present some selected results of…

Nuclear Theory · Physics 2007-05-23 A. Covello , L. Coraggio , A. Gargano , N. Itaco

Theory of non-equilibrium Green's function (NGF) provides a practical framework for studying quantum many-body systems out of equilibrium. Extending the previous mean field approach developed for nuclear systems in one dimension with NGF,…

Nuclear Theory · Physics 2020-08-26 Hao Lin , Hossein Mahzoon , Arnau Rios , Pawel Danielewicz

We survey approaches to nonrelativistic density functional theory (DFT) for nuclei using progress toward ab initio DFT for Coulomb systems as a guide. Ab initio DFT starts with a microscopic Hamiltonian and is naturally formulated using…

Nuclear Theory · Physics 2009-12-04 J. E. Drut , R. J. Furnstahl , L. Platter

We combine the recently developed many-body Green's function theory for electrons and nuclei with the exact factorization of the wave function. The existing Born-Oppenheimer Green's functions are shown to be special cases of our exact…

Other Condensed Matter · Physics 2022-11-23 Ville J. Härkönen

Microscopic nuclear theory is based on the tenet that atomic nuclei can be accurately described as collections of point-like nucleons interacting via two- and many-body forces obeying nonrelativistic quantum mechanics -- and the concept of…

Nuclear Theory · Physics 2023-10-27 R. Machleidt

Emergent properties such as nuclear saturation and deformation, and the effects on shell structure due to the proximity of the scattering continuum and particle decay channels are fascinating phenomena in atomic nuclei. In recent years, ab…

Nuclear Theory · Physics 2016-05-19 G. Hagen , M. Hjorth-Jensen , G. R. Jansen , T. Papenbrock

Ab initio approaches to the nuclear many-body problem have seen their reach considerably extended over the past decade. However, collective excitations have been scarcely addressed so far due to the prohibitive cost of solving the…

Nuclear Theory · Physics 2023-02-22 Y. Beaujeault-Taudière , M. Frosini , J. -P. Ebran , T. Duguet , R. Roth , V. Somà

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

We present a brief overview of recent developments in ab initio calculations of nuclear scattering and reactions with a focus on applications of the no-core shell model with continuum method.

Nuclear Theory · Physics 2021-01-21 Sofia Quaglioni , Petr Navratil

Realistic nucleon-nucleon interaction induce correlations to the nuclear many-body system which lead to a fragmentation of the single-particle strength over a wide range of energies and momenta. We address the question of how this…

Nuclear Theory · Physics 2007-05-23 Arnau Rios , Artur Polls , Angels Ramos , Herbert Müther

We present a pedagogical introduction to the In-Medium Similarity Renormalization Group (IM-SRG) framework for ab initio calculations of nuclei. The IM-SRG performs continuous unitary transformations of the nuclear many-body Hamiltonian in…

Nuclear Theory · Physics 2016-12-28 H. Hergert

We formulate the In-Medium Similarity Renormalization Group (IM-SRG) for open-shell nuclei using a multi-reference formalism based on a generalized Wick theorem introduced in quantum chemistry. The resulting multi-reference IM-SRG…

Nuclear Theory · Physics 2013-06-13 H. Hergert , S. Binder , A. Calci , J. Langhammer , R. Roth

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

The properties of symmetric nuclear matter are investigated within the Green's functions approach. We have implemented an iterative procedure allowing for a self-consistent evaluation of the single-particle and two-particle propagators. The…

Nuclear Theory · Physics 2009-11-10 T. Frick , H. Müther

It has been a long-standing challenge to accurately predict the properties of light nuclei and nuclear matter simultaneously in nuclear $ab\ initio$ calculations. In this Letter, we develop the relativistic quantum Monte Carlo methods for…

Nuclear Theory · Physics 2025-04-11 Y. L. Yang , P. W. Zhao

The rapid development of ab initio nuclear structure methods towards doubly open-shell nuclei, heavy nuclei and greater accuracy occurs at the price of evermore increased computational costs, especially RAM and CPU time. While most of the…

Nuclear Theory · Physics 2026-01-19 Alberto Scalesi , Thomas Duguet , Mikael Frosini , Vittorio Somà

We present the first ab initio calculations of nuclear ground states up into the domain of heavy nuclei, spanning the range from 16-O to 132-Sn based on two- plus three-nucleon interactions derived within chiral effective field theory. We…

Nuclear Theory · Physics 2015-06-18 Sven Binder , Joachim Langhammer , Angelo Calci , Robert Roth

The exact treatment of nuclei starting from the constituent nucleons and the fundamental interactions among them has been a long-standing goal in nuclear physics. Above all nuclear scattering and reactions, which require the solution of the…

Nuclear Theory · Physics 2015-05-18 Sofia Quaglioni , Petr Navrátil , Robert Roth