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An iterative adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) method is developed within the framework of Skyrme density functional theory. The ATDHFB equation is solved iteratively to avoid explicitly calculating the stability…

A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham…

Nuclear Theory · Physics 2021-04-28 Giacomo Accorto , Tomoya Naito , Haozhao Liang , Tamara Niksic , Dario Vretenar

The nuclear equation of state is explored with the constrained HFB approach for self conjugate nuclei. It is found that beyond a certain low, more or less universal density, those nuclei spontaneously cluster into A/4 alpha particles with A…

Nuclear Theory · Physics 2015-06-17 Michel Girod , Peter Schuck

A Kohn-Sham scheme based multi-task neural network is elaborated for the supervised learning of nuclear shell evolution. The training set is composed of the single-particle wave functions and occupation probabilities of 320 nuclei,…

Nuclear Theory · Physics 2023-11-23 Zu-Xing Yang , Xiao-Hua Fan , Zhi-Pan Li , Haozhao Liang

We describe the main features of our most recent Hartree-Fock-Bogoliubov nuclear mass models, based on 16-parameter generalized Skyrme forces. They have been fitted to the data of the 2012 Atomic Mass Evaluation, and favour a value of 30…

Nuclear Theory · Physics 2015-06-17 J. M. Pearson , N. Chamel , A. F. Fantina , S. Goriely

Potential energy surfaces of even-even superheavy nuclei are evaluated within the macroscopic-microscopic approximation. A very rapidly converging analytical Fourier-type shape parametrization is used to describe nuclear shapes throughout…

Excitation energies to isobaric states, that are analogs of ground states, are dominated by contributions from the symmetry energy. This opens up a possibility of investigating the symmetry energy on nucleus-by-nucleus basis. Upon…

Nuclear Theory · Physics 2015-06-03 Pawel Danielewicz , Jenny Lee

The density of an atom in a state of well-defined angular momentum has a specific finite spherical harmonic content, without and with interactions. Approximate single-particle schemes, such as the Hartree, Hartree-Fock, and Local Density…

Materials Science · Physics 2009-02-05 H. A. Fertig , W. Kohn

One of the open problems in nuclear structure is how to predict properties of finite nuclei from the knowledge of a bare nucleon-nucleon interaction of the meson-exchange type. We point out that a promising starting point consists in…

Nuclear Theory · Physics 2014-11-20 Nguyen Van Giai , Brett V. Carlson , Zhongyu Ma , Hermann Wolter

Recent astronomical observations, nuclear-reaction experiments, and microscopic calculations have placed new constraints on the nuclear equation of state (EoS) and revealed that most nuclear structure models fail to satisfy those…

Nuclear Theory · Physics 2019-07-22 Hana Gil , Panagiota Papakonstantinou , Chang Ho Hyun , Yongseok Oh

The phase diagram of the superfluid phase coupled to spin singlet (S=0) and isospin triplet (T=1) states in infinite nuclear matter is analyzed within the nonrelativistic Skyrme model. We use an approach that allows a unified and consistent…

Nuclear Theory · Physics 2013-06-14 R. Aguirre

We investigate the high-temperature effect on the nuclear matter that consists of mixture of nucleons and all nuclei in the dense and hot stellar environment. The individual nuclei are described within the compressible liquid-drop model…

Nuclear Theory · Physics 2018-03-07 Shun Furusawa , Igor Mishustin

Adopting the density dependent relativistic mean-field (RMF) and relativistic Hartree-Fock (RHF) approaches, the properties of the nuclear fourth-order symmetry energy $S_4$ are studied within the covariant density functional (CDF) theory.…

Nuclear Theory · Physics 2018-02-12 Zhi Wei Liu , Zhuang Qian , Ruo Yu Xing , Jia Rui Niu , Bao Yuan Sun

The nuclear symmetry energy $E_{sym}(\rho)$ and its density slope $L(\rho)$ can be decomposed analytically in terms of the single-nucleon potential in isospin asymmetric nuclear matter. Using three popular nuclear effective interaction…

Nuclear Theory · Physics 2012-03-27 Rong Chen , Bao-Jun Cai , Lie-Wen Chen , Bao-An Li , Xiao-Hua Li , Chang Xu

Nuclei in the $Z\approx100$ mass region represent the heaviest systems where detailed spectroscopic information is experimentally available. Although microscopic-macroscopic and self-consistent models have achieved great success in…

Nuclear Theory · Physics 2015-06-18 Yue Shi , J. Dobaczewski , P. T. Greenlees

Starting from the Bonn potential, relativistic Brueckner-Hartree-Fock (RBHF) equations are solved for nuclear matter in the full Dirac space, which provides a unique way to determine the single-particle potentials and avoids the…

Nuclear Theory · Physics 2021-06-02 Sibo Wang , Qiang Zhao , Peter Ring , Jie Meng

In this review, we summarize recent studies on nuclear matter and finite nuclei based on parity doublet models. We first construct a parity doublet model (PDM), which includes the chiral invariant mass $m_0$ of nucleons together with the…

Nuclear Theory · Physics 2024-05-14 Yuk-Kei Kong , Youngman Kim , Masayasu Harada

Background: Time-dependent techniques in nuclear theory often rely on mean-field or Hartree-Fock descriptions. Beyond mean-field dynamical calculations within the time-dependent density matrix (TDDM) theory have often invoked symmetry…

Nuclear Theory · Physics 2021-06-09 M. C. Barton , P. D. Stevenson , A. Rios

The Quark--Meson--Coupling (QMC) model self-consistently relates the dynamics of the internal quark structure of a hadron to the relativistic mean fields arising in nuclear matter. It offers a natural explanation to some open questions in…

We investigate the possibility of describing triaxial quadrupole deformations for nuclei close to the two-neutron drip line by the Hartree-Fock Bogoliubov method taking into account resonances in the continuum. We use a Skyrme interaction…

Nuclear Theory · Physics 2009-10-28 J. Terasaki , P. -H. Heenen , H. Flocard , P. Bonche