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We use the Gorkov formulation of the Dirac-Hartree-Fock-Bogoliubov approximation to nuclear pairing to study the ^1S_0 nucleon-nucleon correlations in nuclear matter. We find the short-range correlations of the ^1S_0 pairing fields to be…

Nuclear Theory · Physics 2009-10-30 B. V. Carlson , T. Frederico , F. B. Guimarães

Pairing correlations in symmetric nuclear matter are studied within a relativistic mean-field approximation based on a field theory of nucleons coupled to neutral ($\sigma$ and $\omega$) and to charged ($\varrho$) mesons. The Hartree-Fock…

Nuclear Theory · Physics 2016-09-08 F. Matera , G. Fabbri , A. Dellafiore

Low-lying nuclear states of Sm isotopes are studied in the framework of a collective Hamiltonian based on covariant energy density functional theory. Pairing correlation are treated by both BCS and Bogoliubov methods. It is found that the…

Nuclear Theory · Physics 2015-06-18 J. Xiang , Z. P. Li , J. M. Yao , W. H. Long , P. Ring , J. Meng

We develop a complete Dirac-Hartree-Fock-Bogoliubov approximation to the ground state wave function and energy of finite nuclei. We apply it to spin-zero proton-proton and neutron-neutron pairing within the Dirac-Hartree-Bogoliubov…

Nuclear Theory · Physics 2009-11-06 B. V. Carlson , D. Hirata

The 1S0 pairing gap in isospin-symmetric nuclear matter and finite nuclei is investigated using the chiral nucleon-nucleon potential at the N3LO order in the two-body sector, and the N2LO order in the three-body sector. To include realistic…

Nuclear Theory · Physics 2013-05-30 Paolo Finelli , Tamara Niksic , Dario Vretenar

Short range correlations are introduced using unitary correlation method in a relativistic approach to the equation of state of the infinite nuclear matter in the framework of the Hartree-Fock approximation. The effect of the correlations…

Nuclear Theory · Physics 2015-06-26 P. K. Panda , D. P. Menezes , C. Providencia , J. da Providencia

We investigate the pairing property of nuclear matter with Relativistic Hartree-Bogoliubov(RHB) approach. Recently, the RHB approach has been widely applied to nuclear matter and finite nuclei. We have extended the RHB approach to be able…

Nuclear Theory · Physics 2009-11-07 S. Sugimoto , K. Sumiyoshi , H. Toki

A recently introduced scheme for the renormalization of the Hartree-Fock-Bogoliubov equations in the case of zero-range pairing interaction is extended to the relativistic Hartree-Bogoliubov model. A density-dependent strength parameter of…

Nuclear Theory · Physics 2009-11-11 T. Niksic , P. Ring , D. Vretenar

We apply recently developed effective field theory nuclear models in mean field approximation (parameter sets G1 and G2) to describe ground-state properties of nuclei from the valley of $\beta$-stability up to the drip lines. For faster…

Nuclear Theory · Physics 2010-12-23 M. Del Estal , M. Centelles , X. Viñas , S. K. Patra

We present solutions of the coupled, non-relativistic $^3S_1$-$^3D_1$ gap equations for neutron-proton pairing in symmetric nuclear matter, and estimate relativistic effects by solving the same gap equations modified according to minimal…

Nuclear Theory · Physics 2009-10-30 Oe. Elgaroey , L. Engvik , E. Osnes , M. Hjorth-Jensen

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 discuss pairing correlations in weakly bound neutron rich nuclei, by using the coordinate-space Hartree-Fock-Bogolyubov approach which allows to take properly into account the coupling to particle continuum. We show that the additional…

Nuclear Theory · Physics 2009-11-06 K. Bennaceur , J. Dobaczewski , M. Ploszajczak

The pairing properties of nuclear systems are a sensitive probe of the effective nucleon-nucleon interactions. We compare the 1S0 pairing gaps in nuclear and neutron matter derived from the phenomenological Gogny interaction and a…

Nuclear Theory · Physics 2015-06-26 Armen Sedrakian , T. T. S. Kuo , Herbert Müther , Peter Schuck

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

The long standing problem of neutron-proton pairing correlations is revisited by employing the Hartree-Fock-Bogoliubov formalism with neutron-proton mixing in both the particle-hole and particle-hole channels. We compare numerical…

Nuclear Theory · Physics 2018-07-10 A. Márquez Romero , J. Dobaczewski , A. Pastore

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

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the…

Nuclear Theory · Physics 2010-04-06 Wen Hui Long , Peter Ring , Nguyen Van Giai , Jie Meng

We construct phenomenologically a relativistic particle-particle channel interaction which suits the gap equation for nuclear matter. This is done by introducing a density-independent momentum-cutoff parameter to the relativistic mean field…

Nuclear Theory · Physics 2009-10-31 Masayuki Matsuzaki , Tomonori Tanigawa

Nuclear pairing correlations are known to play an important role in various single-particle and collective aspects of nuclear structure. After the first idea by A. Bohr, B. Mottelson and D. Pines on similarity of nuclear pairing to electron…

Nuclear Theory · Physics 2009-11-10 Vladimir Zelevinsky , Alexander Volya

We develop relativistic short-range exchange energy functionals for four-component relativistic range-separated density-functional theory using a Dirac-Coulomb Hamiltonian in the no-pair approximation. We show how to improve the short-range…

Chemical Physics · Physics 2020-06-24 Julien Paquier , Emmanuel Giner , Julien Toulouse
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