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Related papers: Local Density Approximation for proton-neutron pai…

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We develop a complete Dirac-Hartree-Fock-Bogoliubov approximation to the ground state wave function and energy of finite nuclei. We apply it to spin-zero proton-proton and neutron-neutron pairing within the Dirac-Hartree-Bogoliubov…

Nuclear Theory · Physics 2009-11-06 B. V. Carlson , D. Hirata

We compare two different approaches to investigations of many-electron systems. The first is the Hartree-Fock (HF) method and the second is the Density Functional Theory (DFT). Overview of the main features and peculiar properties of the HF…

Materials Science · Physics 2009-11-07 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

In this work, we calculate the ground state energy of pure neutron matter using the renormalization group based low-momentum effective interaction $V_{\text{low-}k}$ in Bogoliubov many-body perturbation theory (BMBPT), which is a…

Nuclear Theory · Physics 2023-02-17 Viswanathan Palaniappan , S. Ramanan , Michael Urban

With the relativistic representation of the nuclear tensor force that is included automatically by the Fock diagrams, we explored the self-consistent tensor effects on the properties of nuclear matter system. The analysis were performed…

Nuclear Theory · Physics 2015-01-20 Li Juan Jiang , Shen Yang , Jian Min Dong , Wen Hui Long

The Relativistic Continuum Hartree Bogoliubov theory (RCHB), which is the extension of the Relativistic Mean Field and the Bogoliubov transformation in the coordinate representation, has been used to study tin isotopes. The pairing…

Nuclear Theory · Physics 2009-10-31 J. Meng , I. Tanihata

We describe the new version 3.00 of the code HFBTHO that solves the nuclear Hartree-Fock (HF) or Hartree-Fock-Bogolyubov (HFB) problem by using the cylindrical transformed deformed harmonic oscillator basis. In the new version, we have…

Nuclear Theory · Physics 2018-02-06 R. Navarro Perez , N. Schunck , R. -D. Lasseri , C. Zhang , J. Sarich

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

An improved prescription for choosing a transformed harmonic oscillator (THO) basis for use in configuration-space Hartree-Fock-Bogoliubov (HFB) calculations is presented. The new HFB+THO framework that follows accurately reproduces the…

Nuclear Theory · Physics 2011-05-12 M. V. Stoitsov , J. Dobaczewski , W. Nazarewicz , S. Pittel , D. J. Dean

We construct phenomenologically a relativistic particle-particle channel interaction which suits the gap equation for nuclear matter. This is done by introducing a density-independent momentum-cutoff parameter to the relativistic mean field…

Nuclear Theory · Physics 2009-10-31 Masayuki Matsuzaki , Tomonori Tanigawa

The first results of a new three-dimensional, finite temperature Skyrme-Hartree-Fock+BCS study of the properties of inhomogeneous nuclear matter at densities and temperatures leading to the transition to uniform nuclear matter are…

Solar and Stellar Astrophysics · Physics 2011-05-25 W. G. Newton

An extension of the time-dependent Hartree-Fock-Bogoliubov theory (ETDHFB) which includes higher-order effects such as screening of the pairing correlation is proposed. ETDHFB is applied to a fermion system trapped in a harmonic potential…

Nuclear Theory · Physics 2015-06-23 Mitsuru Tohyama , Peter Schuck

The mean-field properties of finite-temperature Bose-Einstein gases confined in spherically symmetric harmonic traps are surveyed numerically. The solutions of the Gross-Pitaevskii (GP) and Hartree-Fock-Bogoliubov (HFB) equations for the…

Statistical Mechanics · Physics 2009-10-31 T. Bergeman , D. L. Feder , N. L. Balazs , B. I. Schneider

We perform Hartree-Fock-Bogoliubov (HFB) calculations for semi-magic Calcium, Nickel, Tin and Lead isotopes and $N$=20, 28, 50 and 82 isotones using density-dependent pairing interactions recently derived from a microscopic nucleon-nucleon…

Nuclear Theory · Physics 2008-11-26 J. Margueron , H. Sagawa , K. Hagino

We propose a new approach for the treatment of isovector pairing in self-consistent mean field calculations which conserves exactly the isospin and the particle number in the pairing channel. The mean field is generated by a Skyrme-HF…

Nuclear Theory · Physics 2015-06-19 D. Negrea , N. Sandulescu

We present exact Hartree-Fock-Bogoliubov calculations with the finite range density dependent Gogny force using a triaxial basis. For the first time, all contributions to the Pairing and Fock Fields arising from the Gogny and Coulomb…

Nuclear Theory · Physics 2009-11-06 M. Anguiano , J. L. Egido , L. M. Robledo

Energy for a nucleus is considered in macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg-Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme-Hartree-Fock…

Nuclear Theory · Physics 2009-11-13 Pawel Danielewicz , Jenny Lee

We perform the Hartree-Fock-Bogoliubov (HFB) calculations for ground states of even Mg isotopes using the Skyrme force and a density-dependent zero-range pairing force. The HFB equation is solved in a three-dimensional cartesian mesh, and a…

Nuclear Theory · Physics 2009-10-30 J. Terasaki , H. Flocard , P. -H. Heenen , P. Bonche

A shape change of the self-consistent mean-field induced by a configuration change is discussed within the conventional constrained Hartree-Fock (CHF) theory. It is stressed that a single-particle level crossing dynamics should be treated…

Nuclear Theory · Physics 2009-11-10 Lu Guo , Fumihiko Sakata , En-Guang Zhao

We consider the dynamics of a large number N of nonrelativistic bosons in the mean field limit for a class of interaction potentials that includes Coulomb interaction. In order to describe the fluctuations around the mean field Hartree…

Mathematical Physics · Physics 2019-10-08 David Mitrouskas , Sören Petrat , Peter Pickl

We calculate positions of one- and two-particle, proton and neutron drip lines within the Hartree-Fock-Bogoliubov theory using Skyrme interaction. We also determine an approximate $r$-process path defined as a line where the neutron binding…

Nuclear Theory · Physics 2008-11-26 R. Smolańczuk , J. Dobaczewski
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