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Making use of the fact that the collective modes associated with the spontaneous (static and dynamic) violation of gauge invariance in atomic nuclei (pairing rotations and pairing vibrations) are amenable to a simple, quite accurate nuclear…

Nuclear Theory · Physics 2014-04-07 Gregory Potel , Andrea Idini , Francisco Barranco , Enrico Vigezzi , Ricardo A. Broglia

Correlations in the nuclear wave-function beyond the mean-field or Hartree-Fock approximation are very important to describe basic properties of nuclear structure. Various approaches to account for such correlations are described and…

Nuclear Theory · Physics 2009-11-06 H. Müther , A. Polls

A semi-microscopic model for nucleon pairing in nuclei is presented starting from the ab intio BCS gap equation with Argonne v18 force and the self-consistent Energy Density Functional Method basis characterized with the bare nucleon mass.…

Nuclear Theory · Physics 2011-08-11 S. S. Pankratov , M. V. Zverev , M. Baldo , U. Lombardo , E. E. Saperstein

The combination of configuration interaction and many-body perturbation theory methods (CI+MBPT) is extended to non-perturbatively include configurations with electron holes below the designated Fermi level, allowing us to treat systems…

Atomic Physics · Physics 2016-07-13 J. C. Berengut

This work is dedicated to the study of even-even 8-14 Be isotopes using the particle-particle Random Phase Approximation that accounts for two-body correlations in the core nucleus. A better description of energies and two-particle…

Nuclear Theory · Physics 2014-11-21 Guillaume Blanchon , Nicole Vinh Mau , Angela Bonaccorso , Marc Dupuis , Nathalie Pillet

We study the structure of the neutron rich $^{44}$S isotope with modern configuration mixing methods based on the Gogny interaction including beyond-mean-field effects. Restoration of particle number and rotational symmetries are taken into…

Nuclear Theory · Physics 2015-05-30 Tomás R. Rodríguez , J. Luis Egido

Multiconfiguration expansions frequently target valence correlation and correlation between valence electrons and the outermost core electrons. Correlation within the core is often neglected. A large orbital basis is needed to saturate both…

Atomic Physics · Physics 2010-04-20 S. Verdebout , P. Jönsson , G. Gaigalas , M. Godefroid , C. Froese Fischer

The pairing properties of nuclear systems are a sensitive probe of the effective nucleon-nucleon interactions. We compare the 1S0 pairing gaps in nuclear and neutron matter derived from the phenomenological Gogny interaction and a…

Nuclear Theory · Physics 2015-06-26 Armen Sedrakian , T. T. S. Kuo , Herbert Müther , Peter Schuck

The theory of nuclear excitations involving nucleon resonances is revisited and significantly extended to asymmetric nuclear matter and higher P- and S-wave $N^*$ resonances. Excited states of are described as superpositions of…

Nuclear Theory · Physics 2026-01-21 Horst Lenske

We study the ability of variational approaches based on self-consistent mean-field and beyond-mean-field methods to reproduce exact energies and electromagnetic properties of the nuclei defined within the $sd$-shell valence space using the…

Nuclear Theory · Physics 2021-11-15 Adrián Sánchez-Fernández , Benjamin Bally , Tomás R. Rodríguez

We present a novel scheme for nuclear structure calculations based on realistic nucleon-nucleon potentials. The essential ingredient is the explicit treatment of the dominant interaction-induced correlations by means of the Unitary…

Nuclear Theory · Physics 2009-11-10 R. Roth , T. Neff , H. Hergert , H. Feldmeier

In addition to shape oscillations, low-energy excitation spectra of deformed nuclei are also influenced by pairing vibrations. The simultaneous description of these collective modes and their coupling has been a long-standing problem in…

Nuclear Theory · Physics 2021-05-26 K. Nomura , D. Vretenar , Z. P. Li , J. Xiang

Pairing correlation of Cooper pair is a fundamental property of multi-fermion interacting systems. For nucleons, two modes of the Cooper-pair coupling may exist, namely of $S_{12}=0$ with $L_{12}=0$ (spin-singlet s-wave) and $S_{12}=1$ with…

Nuclear Theory · Physics 2021-05-18 Tomohiro Oishi , Goran Kruzic , Nils Paar

Ab initio many-body methods address closed-shell nuclei up to mass A ~ 130 on the basis of realistic two- and three-nucleon interactions. Several routes to address open-shell nuclei are currently under investigation, including ideas which…

Nuclear Theory · Physics 2015-07-02 Angelo Signoracci , Thomas Duguet , Gaute Hagen , Gustav Jansen

Atomic nuclei exhibit multiple energy scales ranging from hundreds of MeV in binding energies to fractions of an MeV for low-lying collective excitations. As the limits of nuclear binding is approached near the neutron- and proton…

Nuclear Theory · Physics 2025-02-20 Z. H. Sun , A. Ekström , C. Forssén , G. Hagen , G. R. Jansen , T. Papenbrock

The framework of relativistic self-consistent mean-field models is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to…

Nuclear Theory · Physics 2008-11-26 T. Niksic , D. Vretenar , P. Ring

A multi-reference configuration mixing scheme is used to describe the ground state, characterized by well defined spin and space group symmetry quantum numbers as well as doping fractions $N_{e}/N_{sites}$, of one dimensional Hubbard…

Strongly Correlated Electrons · Physics 2015-06-18 R. Rodríguez-Guzmán , Carlos A. Jiménez-Hoyos , Gustavo E. Scuseria

Background: The Po, Pb, Hg, and Pt region is known for the presence of coexisting structures that correspond to different particle-hole configurations in the Shell Model language or equivalently to nuclear shapes with different deformation.…

Nuclear Theory · Physics 2015-06-18 J. E. Garcia-Ramos , K. Heyde

A new method unifying many and few-body aspects of nuclear structure has recently been introduced \cite{hov18}. This method combines the many-body description of a core and the few-body structure of this core surrounded by two valence…

Nuclear Theory · Physics 2020-08-03 E. Garrido , A. S. Jensen

We discuss the pairing gap, a measure for nuclear pairing correlations, in chains of spherical, semi-magic nuclei in the framework of self-consistent nuclear mean-field models. The equations for the conventional BCS model and the…

Nuclear Theory · Physics 2011-10-11 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn