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Beyond mean-field methods are very successful tools for the description of large-amplitude collective motion for even-even atomic nuclei. The state-of-the-art framework of these methods consists in a Generator Coordinate Method based on…

Nuclear Theory · Physics 2014-10-22 B. Bally , B. Avez , M. Bender , P. -H. Heenen

A method for beyond-mean-field calculations based on an energy density functional is described. The main idea is to map the energy surface for the nuclear quadrupole deformation, obtained from an energy density functional at the mean-field…

Nuclear Theory · Physics 2022-12-16 J. Ljungberg , J. Boström , B. G. Carlsson , A. Idini , J. Rotureau

Electron scattering provides a powerful tool to determine charge distributions and transition densities of nuclei. This tool will soon be available for short-lived neutron-rich nuclei. [Purpose] Beyond mean-field methods have been…

Nuclear Theory · Physics 2015-03-10 J. M. Yao , M. Bender , P. -H. Heenen

We calculate correlation energies associated with the quadrupolar shape degrees of freedom with a view to improving the self-consistent mean-field theory of nuclear binding energies. The Generator Coordinate Method is employed using…

Nuclear Theory · Physics 2009-11-10 M. Bender , G. F. Bertsch , P. -H. Heenen

The low-energy structure of 46Ar is of particular interest due to the possible coexistence of different shapes and the possible existence of proton bubble structure. In this work, we apply a beyond relativistic mean-field approach to study…

Nuclear Theory · Physics 2014-04-18 X. Y. Wu , J. M. Yao , Z. P. Li

Two applications of mean-field calculations based on 3D coordinate-space techniques are presented. The first concerns the structure of odd-N superheavy elements that have been recently observed experimentally and shows the ability of the…

Nuclear Theory · Physics 2007-05-23 P. -H. Heenen , P. Bonche , S. 'Cwiok , W. Nazarewicz , A. Valor

Self-consistent mean field (MF) and beyond-mean-field (BMF) calculations of masses, separation energies and $2^{+}_{1}$ excitation energies of even-even nuclei where experimental data is available are presented. The functionals used are…

Nuclear Theory · Physics 2015-04-21 Tomás R. Rodríguez , Alexander Arzhanov , Gabriel Martínez-Pinedo

The possible existence of a "bubble" structure in the proton density of $^{34}$Si has recently attracted a lot of research interest. To examine the existence of the "bubble" structure in low-lying states, we establish a relativistic version…

Nuclear Theory · Physics 2013-06-07 J. M. Yao , H. Mei , Z. P. Li

Starting from constrained Skyrme-mean-field calculations, the low-energy excitation spectrum of 16O is calculated by configuration mixing of particle-number and angular-momentum projected mean-field states in the framework of the Generator…

Nuclear Theory · Physics 2009-11-07 M. Bender , P. -H. Heenen

Nuclei located in the neutron-deficient Pb region have a complex structure, rapidly evolving as a function of neutron and proton numbers. The most famous example is $^{186}$Pb where the three lowest levels are $0^+$ states, the two excited…

Nuclear Theory · Physics 2015-03-13 J. M. Yao , M. Bender , P. -H. Heenen

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

The impact of beyond mean field effects on the ground state and fission properties of superheavy nuclei has been investigated in a five-dimensional collective Hamiltonian based on covariant density functional theory. The inclusion of…

Nuclear Theory · Physics 2020-03-17 Z. Shi , A. V. Afanasjev , Z. P. Li , J. Meng

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

The roles of static hexadecapole deformation and beyond-mean-field quadrupole-hexadecapole configuration mixing are studied for a selected set of Yb, Hf, W and Os isotopes within the mass range $170 \le A \le 202$, using the…

Nuclear Theory · Physics 2025-08-08 R. Rodriguez-Guzman , L. M. Robledo

We discuss the systematics of ground-state quadrupole correlations of binding energies and mean-square charge radii for all even-even nuclei, from O16 up to the superheavies, for which data are available. To that aim we calculate their…

Nuclear Theory · Physics 2009-11-11 M. Bender , G. F. Bertsch , P. -H. Heenen

We present an overview of beyond mean field theories (BMFT) based on the generator coordinate method (GCM) and the recovery of symmetries used in nuclear physics with effective forces. After a reminder of the Hartree-Fock-Bogoliubov (HFB)…

Nuclear Theory · Physics 2016-06-15 J. Luis Egido

This paper deals with the theoretical foundation of effective two-body forces for the Generator Coordinate Method (GCM) and the projected mean-field method. The first aim of this paper is to reduce into various local-densities the in-medium…

Nuclear Theory · Physics 2009-11-07 T. Duguet , P. Bonche

The beyond mean field approximation combined with the Gogny interaction is used to analyze the spherical to prolate deformed shape transition in the Neodymium isotopic chain. The vibrator as well as the rotor limits are nicely reproduced…

Nuclear Theory · Physics 2008-11-26 Tomás R. Rodríguez , J. Luis Egido

We present a comprehensive study on the low-lying states of neutron-rich Er, Yb, Hf, and W isotopes across the $N=126$ shell with a multi-reference covariant density functional theory. Beyond mean-field effects from shape mixing and…

Nuclear Theory · Physics 2020-06-03 X. Y. Wu , J. M. Yao

Rotating dipolar Bose-Einstein condensates exhibit rich physics due to the interplay of long-range interactions and rotation, leading to unconventional vortex structures and strongly correlated phases. While most studies rely on mean-field…

Quantum Gases · Physics 2025-11-06 Paolo Molignini
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