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Condensed Fermi systems with an odd number of particles can be described by means of polarizing external fields having a time-odd character. We illustrate how this works for Fermi gases and atomic nuclei treated by density functional theory…

Superconductivity · Physics 2009-09-20 George Bertsch , Jacek Dobaczewski , Witold Nazarewicz , Junchen Pei

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

Nuclear Theory · Physics 2008-11-26 A. V. Afanasjev , T. L. Khoo , S. Frauendorf , G. A. Lalazissis , I. Ahmad

A recently introduced separable pairing force for relativistic Hartree-Bogoliubov (RHB) calculations, adjusted in nuclear matter to the pairing gap of the Gogny force, is employed in the 3D RHB model for triaxial shapes. The pairing force…

Nuclear Theory · Physics 2014-11-20 T. Niksic , D. Vretenar , Y. Tian , Z. Y. Ma , P. Ring

The current work plans to study the accuracy due to FD approximation to the 3D nuclear HFB problem. By (1) taking the wave functions solved in harmonic oscillator (HO) basis, (2) representing the HFB problem in coordinate space using FD…

Nuclear Theory · Physics 2018-08-08 Yue Shi

We describe the new version (v2.73y) of the code HFODD which solves the nuclear Skyrme Hartree-Fock or Skyrme Hartree-Fock-Bogolyubov problem by using the Cartesian deformed harmonic-oscillator basis. In the new version, we have implemented…

A deformed relativistic Hartree Bogoliubov (RHB) theory in continuum is developed aiming at a proper description of exotic nuclei, particularly those with a large spatial extension. In order to give an adequate consideration of both the…

Nuclear Theory · Physics 2012-02-23 Lulu Li , Jie Meng , P. Ring , En-Guang Zhao , Shan-Gui Zhou

We describe the new version (v3.06h) of the code HFODD that solves the universal nonrelativistic nuclear DFT Hartree-Fock or Hartree-Fock-Bogolyubov problem by using the Cartesian deformed harmonic-oscillator basis. In the new version, we…

A systematic study of 160 heavy and super-heavy nuclei is performed in the Hartree-Fock-Bogoliubov approach with the finite range and density dependent Gogny force with the D1S parameter set. We show calculations in several approximations:…

Nuclear Theory · Physics 2015-06-04 M. Warda , J. L. Egido

A deformed relativistic Hartree-Bogoliubov (DRHB) model is developed aiming at a proper description of exotic nuclei, particularly deformed ones with large spatial extension. In order to give an adequate description of both the contribution…

Nuclear Theory · Physics 2017-08-23 Shan-Gui Zhou , Jie Meng , Peter Ring

For several decades it has been known that divergences arise in the ground-state energy and chemical potential of unitary superfluids, where the scattering length diverges, due to particle-hole scattering. Leading textbooks and research…

Quantum Gases · Physics 2025-08-27 Nikolai Kaschewski , Axel Pelster , Carlos A. R. Sá de Melo

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

Several models of level densities exist and they often make simplified assumptions regarding the overall behavior of the total level densities (LD) and the intrinsic spin and parity distributions of the excited states. Normally, such LD…

Nuclear Theory · Physics 2021-06-02 G. P. A. Nobre , D. A. Brown , M. W. Herman

We propose a new method to solve the Hartree-Fock-Bogoliubov equations for weakly bound nuclei whose purpose is to improve the treatment of the continuum when a finite range two-body interaction is used. We replace the traditional expansion…

Nuclear Theory · Physics 2015-06-26 K. Bennaceur , J. F. Berger , B. Ducomet

We investigated the structure of the low density regions of the inner crust of neutron stars using the Hartree-Fock-Bogoliubov (HFB) model to predict the proton content $Z$ of the nuclear clusters and, together with the lattice spacing, the…

Nuclear Theory · Physics 2017-09-13 A. Pastore , M. Shelley , S. Baroni , C. A. Diget

The nuclear structure of even-even and odd lead isotopes (178-236 Pb) is investigated within the Hartree-Fock-Bogoliubov theory. Calculations are performed for a wide range of neutron numbers, starting from the proton-rich side up to the…

Nuclear Theory · Physics 2018-01-10 Younes El Bassem , Mustapha Oulne

We carry out state-of-the-art optimization of a nuclear energy density of Skyrme type in the framework of the Hartree-Fock-Bogoliubov (HFB) theory. The particle-hole and particle-particle channels are optimized simultaneously, and the…

Nuclear Theory · Physics 2014-11-21 M. Kortelainen , T. Lesinski , J. Moré , W. Nazarewicz , J. Sarich , N. Schunck , M. V. Stoitsov , S. Wild

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

We study the performance of self-consistent mean-field and beyond-mean-field approximations in shell-model valence spaces. In particular, Hartree-Fock-Bogolyubov, particle-number variation after projection and projected generator coordinate…

Nuclear Theory · Physics 2019-10-14 B. Bally , A. Sánchez-Fernández , T. R. Rodríguez

A novel Rayleigh-Schr\"odinger many-body perturbation theory (MBPT) approach is introduced by making use of a particle-number-breaking Bogoliubov reference state to tackle (near-)degenerate open-shell fermionic systems. By choosing a…

Nuclear Theory · Physics 2018-10-17 Alexander Tichai , Pierre Arthuis , Thomas Duguet , Heiko Hergert , Vittorio Somá , Robert Roth

A triaxial relativistic Hartree-Bogoliubov theory in continuum (TRHBc) has been developed to incorporate triaxial deformation, pairing correlations, and continuum effects in a fully microscopic and self-consistent way, aiming for a reliable…

Nuclear Theory · Physics 2025-09-30 Kaiyuan Zhang , Shuangquan Zhang , Jie Meng