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The aim of this chapter, focused on relativistic mean-field models and part of the Encyclopedia of Nuclear Physics, is to provide an introductory, self-contained discussion accessible to a broad audience, including advanced undergraduate…

Nuclear Theory · Physics 2026-04-10 J. Piekarewicz

Asymmetric nuclear matter is investigated in the low density region below the nuclear saturation density. Microscopic calculations based on the Dirac Brueckner Hartree-Fock (DBHF) approach with realistic nucleon-nucleon potentials are used…

Nuclear Theory · Physics 2008-11-26 J. Margueron , E. Van Dalen , C. Fuchs

More than half a century after the fundamental, spherical shell structure in nuclei has been established, theoretical predictions indicate that the shell-gaps comparable or even stronger than those at spherical shapes may exist.…

Nuclear Theory · Physics 2009-11-07 J. Dudek , A. Gozdz , N. Schunck , M. Miskiewicz

The relativistic mean-field theory provides a framework in which the nuclear many-body problem is described as a self-consistent system of nucleons and mesons. In the mean-field approximation, the self-consistent time evolution of the…

Nuclear Theory · Physics 2007-05-23 Dario Vretenar

Within the nuclear density functional theory (DFT) we study the effect of reflection-asymmetric shapes on ground-state binding energies and binding energy differences. To this end, we developed the new DFT solver AxialHFB that uses an…

Nuclear Theory · Physics 2013-03-05 E. Olsen , J. Erler , W. Nazarewicz , M. Stoitsov

We describe the \texttt{Imeall} package for the calculation and indexing of atomistic properties of grain boundaries in materials. The package provides a structured database for the storage of atomistic structures and their associated…

Materials Science · Physics 2018-08-15 Henry Lambert , Adam Fekete , James R Kermode , A. De Vita

A new parameterization for an effective non-linear Lagrangian density of relativistic mean field (RMF) theory is proposed, which is able to provide an excellent description not only for the properties of stable nuclei but also for those far…

Nuclear Theory · Physics 2008-11-26 G. A. Lalazissis , J. König , P. Ring

We study relativistic nuclear matter in the $\sigma - \omega$ model including the ring-sum correlation energy. The model parameters are adjusted self-consistently to give the canonical saturation density and binding energy per nucleon with…

Nuclear Theory · Physics 2008-11-26 J. A. McNeil , C. E. Price , J. R. Shepard

An improved prescription for choosing a transformed harmonic oscillator (THO) basis for use in configuration-space Hartree-Fock-Bogoliubov (HFB) calculations is presented. The new HFB+THO framework that follows accurately reproduces the…

Nuclear Theory · Physics 2011-05-12 M. V. Stoitsov , J. Dobaczewski , W. Nazarewicz , S. Pittel , D. J. Dean

A phenomenological method based on the natural orbital representation is applied to construct the ground state one-body density matrix which describes correctly both density and momentum distributions in $^{4}He$, $^{16}O$ and $^{40}Ca$…

The predictive power of the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) for nuclear mass is examined in the superheavy region, $102 \le Z \le 120$. The accuracy of predicting the 10 (56) measured (measured and…

Nuclear Theory · Physics 2021-08-11 Kaiyuan Zhang , Xiaotao He , Jie Meng , Cong Pan , Caiwan Shen , Chen Wang , Shuangquan Zhang

The ground states of some nuclei are described by densities and mean fields that are spherical, while others are deformed. The existence of non-spherical shape in nuclei represents a spontaneous symmetry breaking.

Nuclear Theory · Physics 2012-05-23 Ikuko Hamamoto , Ben R. Mottelson

Recent theoretical calculations predict a possible existence of nuclei with tetrahedral symmetry: more precisely, the mean-field hamiltonians of such nuclei are symmetric with respect to double point-group Td. In this paper, we focus on the…

Nuclear Theory · Physics 2009-11-10 N. Schunck , J. Dudek , A. Gozdz , P. H. Regan

An analysis of nuclear properties based on a relativistic energy functional containing Dirac nucleons and classical scalar and vector meson fields is discussed. Density functional theory implies that this energy functional can include…

Nuclear Theory · Physics 2009-07-09 R. J. Furnstahl , Brian D. Serot , Hua-Bin Tang

Nuclear masses play a crucial role in both nuclear physics and astrophysics, driving sustained efforts toward their precise experimental determination and reliable theoretical prediction. In this work, we compile the newly measured masses…

Nuclear Theory · Physics 2025-08-19 Xiaoying Qu , Kangmin Chen , Cong Pan , Yangyang Yu , Kaiyuan Zhang

The role of discrete (or point-group) symmetries in alpha-cluster nuclei is discussed in the framework of the algebraic cluster model which describes the relative motion of the alpha-particles. Particular attention is paid to the discrete…

Nuclear Theory · Physics 2016-06-22 Roelof Bijker

The Relativistic Hartree Bogoliubov theory is applied in the mean-field approximation to the description of properties of light nuclei with large neutron excess. Pairing correlations and the coupling to particle continuum states are…

Nuclear Theory · Physics 2009-10-30 G. A. Lalazissis , D. Vretenar , W. Pöschl , P. Ring

We develop a relativistic mean field (RMF) description of deformed nuclei with the pairing correlations in the BCS approximation. The treatment of the pairing correlations for nuclei with the Fermi surface being close to the threshold of…

Nuclear Theory · Physics 2009-11-10 L. S. Geng , H. Toki , S. Sugimoto , J. Meng

The similarity renormalization group is used to transform a general Dirac Hamiltonian into diagonal form. The diagonal Dirac operator consists of the nonrelativistic term, the spin-orbit term, the dynamical term, and the relativistic…

Nuclear Theory · Physics 2013-09-09 Jian-You Guo , Shou-Wan Chen , Zhong-Ming Niu , Dong-Peng Li , Quan Liu