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We have developed a new Hartree-Fock-Bogoliubov (HFB) code which has been specifically designed to study ground state properties of nuclei near the neutron and proton drip lines. The unique feature of our code is that it takes into account…

Nuclear Theory · Physics 2007-05-23 V. E. Oberacker , A. S. Umar , E. Teran

We calculate thermodynamic properties of soft-core lattice bosons with on-site $n$-body interactions using up to twelfth and tenth order strong coupling expansion in one and two dimensional cubic lattices at zero temperature. Using linked…

Quantum Gases · Physics 2014-08-27 Vipin Kerala Varma , Hartmut Monien

Background: The Hartree-Fock mean-field approximation is standard in combination with energy density functionals (EDF) that account for some dynamical correlations. Breaking and restoring the symmetries of the system allow for the inclusion…

Nuclear Theory · Physics 2023-11-20 Joshua Cesca , Cédric Simenel

The mean field properties and equation of state for asymmetric nuclear matter are studied by using a simple effective interaction which has a single finite range Gaussian term. The study of finite nuclei with this effective interaction is…

Nuclear Theory · Physics 2013-02-15 B. Behera , X. Vinas , M. Bhuyan , T. R. Routray , B. K. Sharma , S. K. Patra

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

Halo phenomenon in deformed nuclei is studied by using a fully self-consistent deformed relativistic Hartree-Bogoliubov model in a spherical Woods-Saxon basis with the proper asymptotic behavior at large distance from the nuclear center.…

Nuclear Theory · Physics 2015-03-17 Shan-Gui Zhou , Jie Meng , P. Ring , En-Guang Zhao

The yrast line of the N=Z nucleus 48Cr is studied up to high spins by means of the cranked Hartree-Fock-Bogoliubov method including the T=0 and T=1 isospin pairing channels. A Skyrme force is used in the mean-field channel together with a…

Nuclear Theory · Physics 2009-10-31 J. Terasaki , R. Wyss , P. -H. Heenen

We study relativistic nuclear matter in the $\sigma - \omega$ model including the ring-sum correlation energy. The model parameters are adjusted self-consistently to give the canonical saturation density and binding energy per nucleon with…

Nuclear Theory · Physics 2008-11-26 J. A. McNeil , C. E. Price , J. R. Shepard

Hartree-Fock-Bogolyubov (HFB) calculations making use of a recently proposed microscopic effective pairing interaction are presented. The interaction was shown to reproduce the pairing properties provided by the realistic $AV18$ force very…

Nuclear Theory · Physics 2009-11-10 T. Duguet , P. Bonche

We calculate the equation of state (EOS) of spin-polarized nuclear matter in the relativistic Hartree-Fock method. To this end, we employ the relativistic point-coupling model, with which the Fock terms are considerably simplified, reducing…

Nuclear Theory · Physics 2025-07-21 Toi Tachibana , Kouichi Hagino , Kenichi Yoshida , Qiang Zhao

We perform particle-number projected mean-field study using the recently developed symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations. Realistic calculations have been performed in sd- and fp-shell nuclei using the shell model…

Nuclear Theory · Physics 2015-05-20 I. Maqbool , J. A. Sheikh , P. A. Ganai , P. Ring

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

A systematic investigation of the yrast superdeformed (SD) rotational bands in even-even nuclei of the $A\sim 190$ mass region has been performed within the framework of the cranked relativistic Hartree-Bogoliubov theory. The particle-hole…

Nuclear Theory · Physics 2017-08-23 A. V. Afanasjev , P. Ring

A set of relativistic mean field models is constructed including the Hartree and Hartree-Fock approximation accounting for the exchange of isoscalar and isovector mesons as well as the pion. Density dependent coupling functions are…

Nuclear Theory · Physics 2011-09-02 E. N. E. van Dalen , H. Müther

Two different approximation schemes for the self-consistent solution of the relativistic Brueckner-Hartree-Fock equation for finite nuclei are discussed using realistic One-Boson-Exchange potentials. In a first scheme, the effects of…

Nuclear Theory · Physics 2009-10-22 R. Fritz , H. Müther

Symmetry properties of densities and mean fields appearing in the nuclear Density Functional Theory with pairing are studied. We consider energy functionals that depend only on local densities and their derivatives. The most important…

Nuclear Theory · Physics 2010-04-06 S. G. Rohozinski , J. Dobaczewski , W. Nazarewicz

The variational Hartree-Fock-Bogoliubov (HFB) mean-field theory is the starting point of various (ab initio) many-body methods dedicated to superfluid systems. While taking the zero-pairing limit of HFB equations constitutes a text-book…

Nuclear Theory · Physics 2020-11-19 T. Duguet , B. Bally , A. Tichai

Many-body techniques for the calculation of quasielastic nuclear matter response functions in the fully antisymmetrized random phase approximation on a Hartree-Fock basis are discussed in detail. The methods presented here allow for an…

Nuclear Theory · Physics 2009-10-31 A. De Pace

We develop a new method of implementing the Hartree-Fock calculations. A class of Gaussian bases is assumed, which includes the Kamimura-Gauss basis-set as well as the set equivalent to the harmonic-oscillator basis-set. By using the…

Nuclear Theory · Physics 2011-07-19 H. Nakada , M. Sato