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Charge radii of Sn, Ba, Yb, and Pb isotopes are calculated within Hartree-Fock-Bogoliubov theory with a Skyrme force and a density-dependent delta-force pairing. We investigate mean field effects of the pairing upon odd-even staggering of…

Nuclear Theory · Physics 2009-11-07 S. Sakakihara , Y. Tanaka

The neutron pair correlation in nuclei near the neutron drip-line is investigated using the selfconsistent continuum Skyrme-Hartree-Fock-Bogoliubov theory formulated with the coordinate-space Green's function technique. Numerical analysis…

Nuclear Theory · Physics 2011-05-13 Ying Zhang , Masayuki Matsuo , Jie Meng

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

Ground state Hartree-Fock-Bogoliubov (HFB) theory is applied to imbalanced spin-1/2 one-dimensional Fermi systems that are spatially confined by either a harmonic or a hard-wall trapping potential. It has been hoped that such systems, which…

Quantum Gases · Physics 2020-07-01 Kelly R. Patton , Daniel E. Sheehy

Recent microscopic studies, based on the theoretical framework of nuclear energy density functionals, have analyzed dynamic (least action) and static (minimum energy) fission paths, and it has been shown that in addition to the important…

Nuclear Theory · Physics 2015-11-19 Jie Zhao , Bing-Nan Lu , Tamara Niksic , Dario Vretenar

A computer code is presented for solving the equations of Hartree-Fock-Bogoliubov (HFB) theory by the gradient method, motivated by the need for efficient and robust codes to calculate the configurations required by extensions of HFB such…

Nuclear Theory · Physics 2011-08-08 L. M. Robledo , G. F. Bertsch

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

The ground-state properties of neutron-deficient Hg isotopes have been investigated by the constrained self-consistent Hartree-Fock-Bogoliubov approach with the Skyrme and Gogny effective forces. In the case of the Skyrme interaction we h…

Nuclear Theory · Physics 2011-07-06 M. Warda , A. Staszczak , L. Próchniak

Important features of low-frequency collective vibrational excitations in neutron drip line nuclei are studied. We emphasize that pairing anti-halo effect in the Hartree-Fock-Bogoliubov (HFB) theory play crucial roles to realize collective…

Nuclear Theory · Physics 2015-06-26 Masayuki Yamagami

A C++ code for the solution of the relativistic Hartree-Bogoliubov theory in coordinate space is presented. The theory describes a nucleus as a relativistic system of baryons and mesons. The RHB model is applied in the self-consistent…

Nuclear Theory · Physics 2009-10-30 Wolfgang Poeschl , Dario Vretenar , Peter Ring

We develop a perturbative model to treat the off-diagonal components in the Hartree-Fock-Bogoliubov (HFB) transformation matrix, which are neglected in the BCS approximation. Applying the perturbative model to a weakly bound nucleus…

Nuclear Theory · Physics 2009-11-10 K. Hagino , H. Sagawa

A method for incorporating the effect of the resonant continuum into Hartree-Fock+BCS equations is proposed. The method is applied for the case of a neutron-rich nucleus calculated with a Skyrme-type force plus a zero-range pairing…

Nuclear Theory · Physics 2016-09-08 N. Sandulescu , Nguyen Van Giai , R. J. Liotta

Giant neutron halos in medium-heavy nuclei are studied in the framework of the Hartree-Fock-Bogoliubov (HFB) approach with Skyrme interactions. The appearance of such structures depends sensitively on the effective interaction adopted. This…

Nuclear Theory · Physics 2008-11-26 M. Grasso , S. Yoshida , N. Sandulescu , N. Van Giai

Weakly-bound deformed nuclei have been studied by the Skyrme Hartree-Fock-Bogoliubov (HFB) approach in large coordinate-space boxes. In particular, the box-size dependence of the HFB calculations of weakly-bound deformed nuclei are…

Nuclear Theory · Physics 2015-06-17 Y. N. Zhang , J. C. Pei , F. R. Xu

A formula to calculate a norm overlap between Hartree-Fock-Bogoliubov (HFB) states with the odd number parity (one quasi-particle excited states) is derived with help of the Grassmann numbers and the Fermion coherent states. The final form…

Nuclear Theory · Physics 2012-01-05 Makito Oi , Takahiro Mizusaki

We introduce a new method for deriving the time-dependent Hartree or Hartree-Fock equations as an effective mean-field dynamics from the microscopic Schroedinger equation for fermionic many-particle systems in quantum mechanics. The method…

Mathematical Physics · Physics 2016-11-29 Sören Petrat , Peter Pickl

We present a formulation of the Hartree-Fock-Bogoliubov (HFB) equations which solves the problem directly in the basis of natural orbitals. This provides a very efficient scheme which is particularly suited for large scale calculations on…

Nuclear Theory · Physics 2009-10-30 P. -G. Reinhard , M. Bender , K. Rutz , J. A. Maruhn

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

In order to extract informations on pairing correlations in nuclei from experimental mass differences, the different contributions to odd-even mass differences are investigated within the Skyrme HFB method. In this first paper, the…

Nuclear Theory · Physics 2009-11-07 T. Duguet , P. Bonche , P. -H. Heenen , J. Meyer

The Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei (RHFBz) is introduced. The model is based on an effective Lagrangian with density-dependent meson-nucleon couplings in the particle-hole channel, and the pairing…

Nuclear Theory · Physics 2011-08-02 J. -P. Ebran , E. Khan , D. Pena Arteaga , D. Vretenar