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Properties of strongly interacting, two-component finite Fermi systems are discussed within the recently developed coordinate-space Hartree-Fock-Bogoliubov (HFB) code {\hfbax}. Two illustrative examples are presented: (i) weakly bound…

Nuclear Theory · Physics 2010-01-06 J. C. Pei , W. Nazarewicz , M. Stoitsov

We introduce a Hartree-Fock-Bogoliubov mean-field approach to treat the problem of proton emission from a deformed nucleus. By substituting a rigid rotor in a particle-rotor-model with a mean-field we obtain a better description of…

Nuclear Theory · Physics 2015-06-26 Alexander Volya , Cary Davids

Deformed and spherical even-even nuclei are studied using a finite range simple effective interaction within the Hartree-Fock-Bogoliubov mean field approach. Different parameter sets of the interaction, corresponding to different…

Nuclear Theory · Physics 2017-04-13 B. Behera , X. Viñas , T. R. Routray , L. M. Robledo , M. Centelles , S. P. Pattnaik

We present simple equations for a canonical-basis formulation of the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory. The equations are obtained from the TDHFB theory with an approximation that the pair potential is assumed to be…

The homogeneous isotropic Boltzmann equation (HIBE) is a fundamental dynamic model for many applications in thermodynamics, econophysics and sociodynamics. Despite recent hardware improvements, the solution of the Boltzmann equation remains…

Computational Physics · Physics 2015-05-18 Pietro Asinari

We carried out a simulation of heavy ion collision using a time-dependent density functional theory. We call it the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory (Cb-TDHFB) which can describe nuclear dynamics in…

Nuclear Theory · Physics 2015-06-12 Shuichiro Ebata

In this article, we show that the exact two-body problem can be replaced by quantum jumps between densities written as $D=| \Psi_a \right> \left< \Psi_b |$ where $| \Psi_a \right>$ and $| \Psi_b \right>$ are vacuum for different…

Nuclear Theory · Physics 2007-05-23 Denis Lacroix

The three-nucleon bound and scattering equations are solved in momentum space for a coupled-channel Hamiltonian. The Hamiltonian couples the purely nucleonic sector of Hilbert space with a sector in which one nucleon is excited to a…

Nuclear Theory · Physics 2022-09-13 A. Deltuva , P. U. Sauer

We extensively develop a method of implementing mean-field calculations for deformed nuclei, using the Gaussian expansion method (GEM). This GEM algorithm has the following advantages: (i) it can efficiently describe the energy-dependent…

Nuclear Theory · Physics 2008-11-26 H. Nakada

We construct a new Hartree-Fock-Bogoliubov (HFB) mass model, labeled HFB-18, with a generalized Skyrme force. The additional terms that we have introduced into the force are density-dependent generalizations of the usual $t_1$ and $t_2$…

Nuclear Theory · Physics 2009-12-31 N. Chamel , S. Goriely , J. M. Pearson

While superfluidity is accurately grasped with a state that explicitly breaks the particle number symmetry, a precise description of phenomena like the particle transfer during heavy-ion reactions can only be achieved by considering systems…

Nuclear Theory · Physics 2019-06-26 D. Regnier , D. Lacroix

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

Quantum shell effects stabilising fission fragments with various shapes have been invoked as a factor determining the distribution of nucleons between the fragments at scission. Shell effects also induce asymmetric shapes in the nucleus on…

Nuclear Theory · Physics 2023-04-13 Rémi Bernard , Cédric Simenel , Guillaume Blanchon

The total cross section for Higgs boson production via the dominant gluon fusion mechanism including NLO [two-loop] QCD corrections can be calculated numerically with the program HIGLU. The QCD corrections are included for arbitrary Higgs…

High Energy Physics - Phenomenology · Physics 2011-04-15 Michael Spira

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

Using the Hartree-Fock-Bogoliubov (HFB) mean field theory in coordinate space, we investigate ground state properties of the sulfur isotopes from the line of stability up to the two-neutron dripline ($^{34-52}S$). In particular, we…

Nuclear Theory · Physics 2009-11-10 V. E. Oberacker , A. S. Umar , E. Teran , A. Blazkiewicz

The performance of beyond mean field methods in solving the quantum many body problem for fermions is usually characterized by the correlation energy measured with respect to the underlying mean field value. In this paper we address the…

Quantum Physics · Physics 2022-06-29 Javier Faba , Vicente Martín , Luis Robledo

We investigate homogeneous nuclear matter within the Brueckner-Hartree-Fock (BHF) approach in the limits of isospin-symmetric nuclear matter (SNM) as well as pure neutron matter at zero temperature. The study is based on realistic…

Nuclear Theory · Physics 2016-11-03 H. F. Arellano , Felipe Isaule , Arnau Rios

In this work we test the validity of a Hartree-Fock plus Bardeen-Cooper-Schrieffer model in which a finite-range interaction is used in the two steps of the calculation by comparing the results obtained to those found in a fully…

Nuclear Theory · Physics 2015-06-18 M. Anguiano , A. M. Lallena , G. Co' , V. De Donno

We study the ability of variational approaches based on self-consistent mean-field and beyond-mean-field methods to reproduce exact energies and electromagnetic properties of the nuclei defined within the $sd$-shell valence space using the…

Nuclear Theory · Physics 2021-11-15 Adrián Sánchez-Fernández , Benjamin Bally , Tomás R. Rodríguez
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