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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

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

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

Relativistic Hartree-Fock method together with many-body perturbation theory and configuration interaction techniques are used to calculate relativistic energy shifts for frequencies of the strong electric dipole transitions of C III, C IV,…

Atomic Physics · Physics 2007-10-26 I. M. Savukov , V. A. Dzuba

Beginning with an effective field theory based upon meson exchange, the Bethe-Salpeter equation for the three-particle propagator (six-point function) is obtained. Using the one-boson-exchange form of the kernel, this equation is then…

Nuclear Theory · Physics 2008-11-26 Paul C. Dulany , S. J. Wallace

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

Starting with a bare nucleon-nucleon interaction, for the first time the full relativistic Brueckner-Hartree-Fock equations are solved for finite nuclei in a Dirac-Woods-Saxon basis. No free parameters are introduced to calculate the…

Nuclear Theory · Physics 2016-10-05 Shihang Shen , Jinniu Hu , Haozhao Liang , Jie Meng , Peter Ring , Shuangquan Zhang

Relativistic effects are investigated in nuclear matter calculations employing renormalized low-momentum nucleon-nucleon ($NN$) interactions. It is demonstrated that the relativistic effects cure a problem of non-relativistic low-momentum…

Nuclear Theory · Physics 2009-11-06 E. N. E. van Dalen , H. Müther

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

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

We calculate several neutron star properties, for static and/or rotating stars, using equations of state based on different microscopic models. These include our Dirac-Brueckner-Hartree-Fock model and others derived from the…

Nuclear Theory · Physics 2009-06-02 F. Sammarruca , Pei Liu

Removal energies and hyperfine constants of the lowest four $ns, np_{1/2}$ and $np_{3/2}$ states in Na, K, Rb and Cs are calculated; removal energies of the n=7--10 states and hyperfine constants of the n=7 and 8 states in Fr are also…

Atomic Physics · Physics 2009-10-31 M. S. Safronova , W. R. Johnson , A. Derevianko

The relativistic 2-body problem, much like the non-relativistic one, is reduced to describing the motion of an effective particle in an external field. The concept of a relativistic reduced mass and effective particle energy introduced some…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. P. Fiziev , I. T. Todorov

We construct an equation of state describing cold and dense matter in the core of neutron stars which includes an admixture of fermionic dark matter and incorporates nucleon effective masses derived from the relativistic…

High Energy Physics - Phenomenology · Physics 2025-11-25 Arijit Das , Prashanth Jaikumar , Adarsh Karekkat , Tanumoy Mandal

Relativistic Brueckner-Hartree-Fock (RBHF) theory in the full Dirac space allows one to determine uniquely the momentum dependence of scalar and vector components of the single-particle potentials. In order to extend this new method from…

Nuclear Theory · Physics 2023-03-15 Hui Tong , Jing Gao , Chencan Wang , Sibo Wang

Brueckner-Hartree-Fock calculations are performed for nuclear matter with an exact treatment of the Pauli exclusion operator in the Bethe-Goldstone equation. The differences in the calculated binding energy, compared to the angle-average…

Nuclear Theory · Physics 2014-11-18 E. Schiller , H. Müther , P. Czerski

The self-energy of the Dirac Brueckner-Hartree-Fock calculation in nuclear matter is parametrized by introducing density-dependent coupling constants of isoscalar mesons in the relativistic Hartree-Fock (RHF) approach where isoscalar meson…

Nuclear Theory · Physics 2009-10-28 Hua-lin Shi , Bao-qiu Chen , Zhong-yu Ma

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…

We have calculated and compared the three-body force effects on the properties of nuclear matter under the gap and continuous choices for the self-consistent auxiliary potential within the Brueckner-Hartree-Fock approach by adopting the…

Nuclear Theory · Physics 2015-06-17 Pei Wang , Wei Zuo

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
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