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Starting from the relativistic form of the Bonn potential as a bare nucleon-nucleon interaction, the full Relativistic Brueckner-Hartree-Fock (RBHF) equations are solved for finite nuclei in a fully self-consistent basis. This provides a…

Nuclear Theory · Physics 2017-08-03 Shihang Shen , Haozhao Liang , Jie Meng , Peter Ring , Shuangquan Zhang

Two different approximation schemes for the self-consistent solution of the relativistic Brueckner-Hartree-Fock equation for finite nuclei are discussed using realistic One-Boson-Exchange potentials. In a first scheme, the effects of…

Nuclear Theory · Physics 2009-10-22 R. Fritz , H. Müther

We discuss two different approximation schemes for the self-consistent solution of the {\it relativistic} Brueckner-Hartree-Fock equation for finite nuclei. In the first scheme, the Dirac effects are deduced from corresponding nuclear…

Nuclear Theory · Physics 2009-10-22 R. Fritz H. Müther , R. Machleidt

Neutron drops confined in an external field are studied in the framework of relativistic Brueckner-Hartree-Fock theory using the bare nucleon-nucleon interaction. The ground state energies and radii of neutron drops with even numbers from…

Nuclear Theory · Physics 2018-05-15 Shihang Shen , Haozhao Liang , Jie Meng , Peter Ring , Shuangquan Zhang

A new scheme to study the properties of finite nuclei is proposed based on the Dirac-Brueckner-Hartree-Fock (DBHF) approach starting from a bare nucleon-nucleon interaction. The relativistic structure of the nucleon self-energies in nuclear…

On the way of a microscopic derivation of covariant density functionals, the first complete solution of the relativistic Brueckner-Hartree-Fock (RBHF) equations is presented for symmetric nuclear matter. In most of the earlier…

Nuclear Theory · Physics 2021-09-22 Peter Ring , Sibo Wang , Qiang Zhao , Jie Meng

The properties of hot matter are studied in the frame of the relativistic Brueckner-Hartree-Fock theory. The equations are solved self-consistently in the full Dirac space. For the interaction we used the potentials given by Brockmann and…

Nuclear Theory · Physics 2008-11-26 H. Huber , F. Weber , M. K. Weigel

Ground state properties of finite nuclei ($^{16}$O and $^{40}$Ca) are evaluated from realistic nucleon-nucleon interactions. The calculations are based on the Brueckner-Hartree-Fock approximation. Special attention is paid to the role of…

Nuclear Theory · Physics 2011-07-19 Kh. Gad , H. Müther

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

Brueckner-Hartree-Fock theory allows to derive the $G$-matrix as an effective interaction between nucleons in the nuclear medium. It depends on the center of mass momentum $\bm{P}$ of the two particles and on the two relative momenta…

Nuclear Theory · Physics 2018-11-14 Hui Tong , Xiu-Lei Ren , Peter Ring , Shi-Hang Shen , Si-Bo Wang , Jie Meng

We study the properties of hot beta-stable nuclear matter using equations of state derived within the Brueckner-Hartree-Fock approach at finite temperature including consistent three-body forces. Simple and accurate parametrizations of the…

Nuclear Theory · Physics 2019-12-02 Jia-Jing Lu , Zeng-Hua Li , G. F. Burgio , H. -J Schulze

In order to simulate the relativistic effects of the Dirac Brueckner Hartree Fock approach for finite nuclei the part of the Urbana 3 nucleon (3N) force is considered, which represents the enhancement of the small components of the Dirac…

Nuclear Theory · Physics 2015-10-07 A. H. Lippok , H. Müther

The simultaneous description for nuclear matter and finite nuclei has been a long-standing challenge in nuclear ab initio theory. With the success for nuclear matter, the relativistic Brueckner-Hartree-Fock (RBHF) theory with covariant…

Nuclear Theory · Physics 2025-03-14 Wei-Jiang Zou , Yi-Long Yang , Shihang Shen , Jie Meng

We develop a relativistic model to describe the bound states of positive energy and negative energy in finite nuclei at the same time. Instead of searching for the negative-energy solution of the nucleon's Dirac equation, we solve the Dirac…

Nuclear Theory · Physics 2016-08-15 G. Mao , H. Stöcker , W. Greiner

A microscopic nuclear equation of state compatible with all current astrophysical constraints constructed within the Brueckner-Hartree-Fock formalism is presented and extended in a consistent way to finite temperature. The effects of finite…

Nuclear Theory · Physics 2022-08-17 Hong-Ming Liu , Jing Zhang , Zeng-Hua Li , Jin-Biao Wei , G. F. Burgio , H. -J. Schulze

A new relativistic Hartree-Fock approach with density-dependent $\sigma$, $\omega$, $\rho$ and $\pi$ meson-nucleon couplings for finite nuclei and nuclear matter is presented. Good description for finite nuclei and nuclear matter is…

Nuclear Theory · Physics 2009-11-11 WenHui Long , Nguyen Van Giai , Jie Meng

An overview on various results concerning the Dirac-Fock model, the various variational characterization of its solutions and its nonrelativistic limit. A notion of ground state for this totally unbounded is also defined.

Analysis of PDEs · Mathematics 2017-08-23 Maria J. Esteban , Eric séré

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

A relativistic Hartree-Bogoliubov (RHB) model based on quark-meson coupling is developed, with a new parametrization derived from experimental observables. Using this model, we systematically investigate the ground-state properties of…

Nuclear Theory · Physics 2025-10-28 Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren

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
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