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Guiding by the relativistic local density approximation, we explore a phenomenological formula for the coupling strength of Coulomb field to take into account the Coulomb exchange term effectively in the relativistic Hartree approximation.…

Nuclear Theory · Physics 2013-05-27 Z. M. Niu , Q. Liu , Y. F. Niu , W. H. Long , J. Y. Guo

We describe the first version (v1.00) of the code HFBRAD which solves the Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov equations in the coordinate representation within the spherical symmetry. A realistic representation of the…

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

Variation after particle-number restoration is incorporated for the first time into the Hartree-Fock-Bogoliubov framework employing the Skyrme energy density functional with zero-range pairing. The resulting projected HFB equations can be…

Nuclear Theory · Physics 2008-11-26 M. V. Stoitsov , J. Dobaczewski , R. Kirchner , W. Nazarewicz , J. Terasaki

Properties of the 1S0 superfluid phase are studied for symmetric nuclear matter at finite temperature. It is described within a covariant hadronic field model, of the sigma-omega type, with addition of density dependent correlations…

Nuclear Theory · Physics 2013-03-06 R. Aguirre

In the present study we generalize the self-consistent Hartree-Fock-Bogoliubov (HFB) theory formulated in the coordinate space to the case which incorporates an arbitrary mixing between protons and neutrons in the particle-hole (p-h) and…

Nuclear Theory · Physics 2009-11-10 E. Perlinska , S. G. Rohozinski , J. Dobaczewski , W. Nazarewicz

We review our recent achievements in the construction of microscopic mass tables based on the Hartree-Fock-Bogoliubov method with Skyrme effective interactions. In the latest of our series of HFB-mass models, we have obtained our best fit…

Nuclear Theory · Physics 2010-01-15 S. Goriely , N. Chamel , J. M. Pearson

Self-consistent proton-neutron quasiparticle random phase approximation based on the spherical nonlinear point-coupling relativistic Hartree-Bogoliubov theory is established and used to investigate the $\beta^+$/EC-decay half-lives of…

Nuclear Theory · Physics 2013-05-27 Z. M. Niu , Y. F. Niu , Q. Liu , H. Z. Liang , J. Y. Guo

We discuss methods used in mean-field theories to treat pairing correlations within the local density approximation. Pairing renormalization and regularization procedures are compared in spherical and deformed nuclei. Both prescriptions…

Nuclear Theory · Physics 2009-11-11 P. J. Borycki , J. Dobaczewski , W. Nazarewicz , M. V. Stoitsov

A method is proposed for a self-consistent evaluation of the coupling constant in the Gross-Pitaevskii equation without involving a pseudopotential replacement. A renormalization of the coupling constant occurs due to medium effects and the…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , J. Brand

Multi-strange Ca, Sn and Pb hypernuclei with $\Lambda\Lambda$ pairing interaction are investigated within the Hartree-Fock-Bogoliubov approach. The unknown $\Lambda\Lambda$ pairing strength is calibrated to match with the maximal value for…

Nuclear Theory · Physics 2018-07-19 H. Güven , K. Bozkurt , E. Khan , J. Margueron

The neutron distributions of Cs, Ba, Yb and Pb isotopes are described in the framework of relativistic mean-field theory. The self-consistent ground state proton and neutron density distributions are calculated with the relativistic…

Nuclear Theory · Physics 2009-11-06 D. Vretenar , G. A. Lalazissis , P. Ring

We describe the program HFBTHO for axially deformed configurational Hartree-Fock-Bogoliubov calculations with Skyrme-forces and zero-range pairing interaction using Harmonic-Oscillator and/or Transformed Harmonic-Oscillator states. The…

Nuclear Theory · Physics 2009-11-10 M. V. Stoitsov , J. Dobaczewski , W. Nazarewicz , P. Ring

We present a new, simple renormalization group method of investigating groundstate properties of interacting bosonic systems. Our method reduces the number of particles in a system, which makes numerical calculations possible for large…

Statistical Mechanics · Physics 2013-05-29 Roman Werpachowski , Jerzy Kijowski

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

Nuclear halo structure and restoration of relativistic symmetry are studied within the framework of the relativistic Hartree-Fock-Bogoliubov (RHFB) theory. Giant halos as well as ordinary ones are found in Cerium isotopes close to the…

Nuclear Theory · Physics 2010-04-14 Wen Hui Long , Peter Ring , Jie Meng , Nguyen Van Giai , Carlos A. Bertulani

Approximately 10 years ago, the method of renormalization-group symmetries entered the field of boundary value problems of classical mathematical physics, stemming from the concepts of functional self-similarity and of the Bogoliubov…

Mathematical Physics · Physics 2009-08-11 V. F. Kovalev , D. V. Shirkov

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

Parity violating elastic electron scattering on neutron-rich nuclei is described in the framework of relativistic mean-field theory. Self-consistent ground state density distributions of Ne, Na, Ni and Sn isotopes are calculated with the…

Nuclear Theory · Physics 2008-11-26 D. Vretenar , P. Finelli , A. Ventura , G. A. Lalazissis , P. Ring

Selfconsistent Hartree-Fock-Bogoliubov (HFB) calculations have been performed with the Gogny force for nuclei along several constant Z and constant N chains, with the purpose of extracting the macroscopic part of the binding energy using…

Nuclear Theory · Physics 2009-11-07 M. Kleban , B. Nerlo-Pomorska , J. F. Berger , J. Dechargé , M. Girod , S. Hilaire

Resonant P-wave interactions can be described by a minimal zero-range model defined by a truncated effective range expansion, so that the only 2-body interaction parameters are the inverse scattering volume 1/a_P and the P-wave effective…

Quantum Gases · Physics 2012-08-20 Eric Braaten , P. Hagen , H. -W. Hammer , L. Platter