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A new method of calculating pairing correlations in coordinate space with finite range interactions is presented. In the Hartree-Fock-Bogoliubov (HFB) approach the mean field part is derived from a Skyrme-type force whereas the pairing…

Nuclear Theory · Physics 2009-11-07 M. Grasso , N. Van Giai , N. Sandulescu

We study 1S0 pairing gaps in neutron and nuclear matter as well as in finite nuclei on the basis of microscopic two-nucleon interactions. Special attention is paid to the consistency of the pairing interaction and normal self-energy…

Nuclear Theory · Physics 2009-10-29 K. Hebeler , T. Duguet , T. Lesinski , A. Schwenk

A simple and efficient method to treat nuclear pairing correlations within a simple Hartree-Fock--plus-BCS description is proposed and discussed. It relies on the fact that the intensity of pairing correlations depends crucially on level…

Nuclear Theory · Physics 2024-09-18 Meng-Hock Koh , Philippe Quentin

Simple generic aspects of nuclear pairing in homogeneous medium as well as in finite nuclei are discussed. It is argued that low-energy nuclear structure is not sensitive enough to resolve fine details of nuclear nucleon-nucleon (NN)…

Nuclear Theory · Physics 2009-11-11 Wojciech Satula

The Relativistic Hartree Bogoliubov (RHB) model is applied in the self-consistent mean-field approximation to the description of the neutron halo in the mass region above the s-d shell. Pairing correlations and the coupling to particle…

Nuclear Theory · Physics 2009-02-11 W. Poeschl , D. Vretenar , G. A. Lalazissis , P. Ring

The role of superfluidity in the incompressibility and in the symmetry energy is studied in nuclear matter and finite nuclei. Several pairing interactions are used: surface, mixed and isovector dependent. Pairing has a small effect on the…

Nuclear Theory · Physics 2014-11-21 E. Khan , J. Margueron , G. Colo , K. Hagino , H. Sagawa

Cranked Relativistic Hartree-Bogoliubov theory without and with approximate particle number projection by means of the Lipkin-Nogami method is presented in detail as an extension of Relativistic Mean Field theory with pairing correlations…

Nuclear Theory · Physics 2009-11-06 A. V. Afanasjev , P. Ring , J. Konig

This work aims at a global assessment of the effect of the density dependence of the zero-range pairing interaction. Systematic Skyrme-Hartree-Fock-Bogoliubov calculations with the volume, surface and mixed pairing forces are carried out to…

Nuclear Theory · Physics 2015-08-11 S. A. Changizi , Chong Qi

The dependence on the single-particle states of the pairing matrix elements of the Gogny force and of the bare low-momentum nucleon-nucleon potential $v_{low-k}$ is studied in the semiclassical approximation for the case of a typical…

Nuclear Theory · Physics 2009-11-11 F. Barranco , P. F. Bortignon , R. A. Broglia , G. Colo' , P. Schuck , E. Vigezzi , X. Vinas

Several pairing schemes currently used to describe superfluid nuclei through Hartree-Fock-Bogolyubov (HFB) calculations are briefly reviewed. We put a particular emphasis on the regularization recipes used in connection with zero-range…

Nuclear Theory · Physics 2007-05-23 T. Duguet , K. Bennaceur , P. Bonche

The ground-state properties of superfluid nuclear systems with ^1S_0 pairing are studied within a local energy-density functional (LEDF) approach. A new form of the LEDF is proposed with a volume part which fits the Friedman- Pandharipande…

Nuclear Theory · Physics 2011-04-15 S. A. Fayans , D. Zawischa

The cranked relativistic Hartree+Bogoliubov theory has been applied for a systematic study of the nuclei around 254No, the heaviest elements for which detailed spectroscopic data are available. The deformation, rotational response, pairing…

Nuclear Theory · Physics 2009-11-10 A. V. Afanasjev , T. L. Khoo , S. Frauendorf , G. A. Lalazissis , I. Ahmad

The low-momentum interaction $V_{\text{low-k}}$ derived from realistic models of the nucleon-nucleon interaction is presented in a separable form. This separable force is supported by a contact interaction in order to achieve the saturation…

Nuclear Theory · Physics 2015-03-13 P. Grygorov , E. N. E. van Dalen , J. Margueron , H. Müther

We present a new semi-classical theory for describing pairing in finite Fermi systems. It is based in taking the $\hbar \to 0$, i.e. Thomas-Fermi, limit of the gap equation written in the basis of the mean field (weak coupling). In addition…

Nuclear Theory · Physics 2015-05-20 X. Vinas , P. Schuck , M. Farine

The Hartree-Fock-Bogoliubov equation for the ground states of even-even atomic nuclei is solved using the canonical representation in the coordinate space for zero range interactions like the Skyrme force. The gradient method is improved…

Nuclear Theory · Physics 2007-05-23 Naoki Tajima

The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in…

Nuclear Theory · Physics 2009-11-07 S. A. Fayans , S. V. Tolokonnikov , E. L. Trykov , D. Zawischa

Deformed and spherical even-even nuclei are studied using a finite range simple effective interaction within the Hartree-Fock-Bogoliubov mean field approach. Different parameter sets of the interaction, corresponding to different…

Nuclear Theory · Physics 2017-04-13 B. Behera , X. Viñas , T. R. Routray , L. M. Robledo , M. Centelles , S. P. Pattnaik

Using the Dirac-Hartree-Fock-Bogoliubov approximation to study nuclear pairing, we have found the short-range correlations of the Dirac $^1$S$_0$ pairing fields to be essentially identical to those of the two-nucleon virtual state at all…

Nuclear Theory · Physics 2016-08-16 B. Funke Haas , T. Frederico , B. V. Carlson , F. B. Guimarães

In this latest of our series of Skyrme-HFB mass models, HFB-16, we introduce the new feature of requiring that the contact pairing force reproduce at each density the $^1S_0$ pairing gap of neutron matter as determined in microscopic…

Nuclear Theory · Physics 2008-11-26 N. Chamel , S. Goriely , J. M. Pearson

Nuclei are propitious tools to investigate the role of the superfluidity in the compressibility of a Fermionic system. The centroid of the Giant Monopole Resonance (GMR) in Tin isotopes is predicted using a constrained Hartree-Fock…

Nuclear Theory · Physics 2009-08-20 Elias Khan