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A method to describe spectra starting from nuclear density functionals is explored. The idea is based on postulating an effective Hamiltonian that reproduces the stiffness associated with collective modes. The method defines a simple form…

Nuclear Theory · Physics 2022-08-10 J. Ljungberg , B. G. Carlsson , J. Rotureau , A. Idini , I. Ragnarsson

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 perform analysis of realistic nucleon-nucleon interactions, as well as of empirically-corrected interactions, fitted to reproduce in detail the spectroscopic data in p and sd shells. We focus on the multipole part of the interactions,…

Nuclear Theory · Physics 2023-01-10 Kamila Sieja

The configuration-interaction shell model is an effective and widely-used approach to the nuclear many-body problem, whose main drawback is the exponential growth of the basis dimension. An useful way to character nuclear shell-model…

Nuclear Theory · Physics 2025-11-06 Calvin W. Johnson , Austin Keller

We carry out an interacting shell-model study of binding energies and spectra in the $sd$-shell nuclei to examine the effect of truncation of the shell-model spaces. Starting with a Hamiltonian defined in a larger space and truncating to…

Nuclear Theory · Physics 2009-09-01 G. F. Bertsch , C. W. Johnson

We perform Shell Model Monte Carlo calculations of selected N=Z pf-shell nuclei with a schematic hamiltonian containing isovector pairing and quadrupole-quadrupole interactions. Compared to realistic interactions, this hamiltonian does not…

Nuclear Theory · Physics 2009-10-30 K. Langanke , P. Vogel , Dao-Chen Zheng

A set of relativistic mean field models is constructed including the Hartree and Hartree-Fock approximation accounting for the exchange of isoscalar and isovector mesons as well as the pion. Density dependent coupling functions are…

Nuclear Theory · Physics 2011-09-02 E. N. E. van Dalen , H. Müther

We study the extrapolation of nuclear shell structure to the region of superheavy nuclei in self-consistent mean-field models -- the Skyrme-Hartree-Fock approach and the relativistic mean-field model -- using a large number of…

Nuclear Theory · Physics 2009-10-31 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn , W. Greiner

The three main contributions to the nuclear Hamiltonian - monopole, quadrupole and pairing - are analyzed in a shell model context. The first has to be treated phenomenologically, while the other two can be reliably extracted from the…

Nuclear Theory · Physics 2019-05-27 A. P. Zuker

The microscopic structure of neutron-rich sd-shell nuclei is investigated by using the spherical shell-model in the sd-pf valence space with the extended pairing plus quadrupole-quadrupole forces accompanied by the monopole interaction…

Nuclear Theory · Physics 2015-03-17 Kazunari Kaneko , Yang Sun , Takahiro Mizusaki , Munetake Hasegawa

We aim to study the properties of nuclei in the south region of $^{208}$Pb systematically, including the binding and excitation energies and electromagnetic properties, in order to predict unknown properties of these nuclei, such as…

Shell corrections to the nuclear binding energy as a measure of shell effects in superheavy nuclei are studied within the self-consistent Skyrme-Hartree-Fock and Relativistic Mean-Field theories. Due to the presence of low-lying proton…

Nuclear Theory · Physics 2009-10-31 A. T. Kruppa , M. Bender , W. Nazarewicz , P. -G. Reinhard , T. Vertse , S. Cwiok

A one-dimensional harmonic oscillator in a box is used to introduce the oblique-basis concept. The method is extended to the nuclear shell model by combining traditional spherical states, which yield a diagonal representation of the usual…

Nuclear Theory · Physics 2009-11-07 V. G. Gueorguiev , J. P. Draayer

This contribution reviews the present status of the Skyrme-Hartree-Fock (SHF) approach as one of the leading self-consistent mean-field models in the physics of atomic nuclei. It starts with a brief summary of the formalism and strategy for…

Nuclear Theory · Physics 2016-01-26 P. -G. Reinhard

The collective ground-state correlations stemming from low-lying quadrupole excitations are computed microscopically. To that end, the self-consistent mean-field model is employed on the basis of the Skyrme-Hartre-Fock (SHF) functional…

Nuclear Theory · Physics 2008-11-26 P. Klüpfel , J. Erler , P. --G. Reinhard , J. A. Maruhn

This paper discusses the derivation of an effective shell-model hamiltonian starting from a realistic nucleon-nucleon potential by way of perturbation theory. More precisely, we present the state of the art of this approach when the…

Nuclear Theory · Physics 2015-06-05 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

We give a short review of the quark-meson coupling (QMC) model, the quark-based model of finite nuclei and hadron interactions in a nuclear medium, highlighting on the relationship with the Skyrme effective nuclear forces. The model is…

Nuclear Theory · Physics 2020-01-01 K. Tsushima

We study the performance of self-consistent mean-field and beyond-mean-field approximations in shell-model valence spaces. In particular, Hartree-Fock-Bogolyubov, particle-number variation after projection and projected generator coordinate…

Nuclear Theory · Physics 2019-10-14 B. Bally , A. Sánchez-Fernández , T. R. Rodríguez

We construct an effective shell-model interaction for the valence space spanned by single-particle neutron and single-hole proton states in $^{100}$Sn. Starting from chiral nucleon-nucleon and three-nucleon forces and single-reference…

Nuclear Theory · Physics 2021-12-16 Z. H. Sun , G. Hagen , G. R. Jansen , T. Papenbrock

Relativistic Hartree equations for spherical nuclei have been derived from a relativistic quark model of the structure of bound nucleons which interact through the (self-consistent) exchange of scalar ($\sigma$) and vector ($\omega$ and…

Nuclear Theory · Physics 2010-02-17 Koichi Saito , Kazuo Tsushima , Anthony W. Thomas