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We have studied the solution of the six-nucleon bound state problem using the hyperspherical harmonic (HH) approach. For this study we have considered only two-body nuclear forces. In particular we have used a chiral nuclear potential…

Nuclear Theory · Physics 2020-07-08 Alex Gnech , Michele Viviani , Laura Elisa Marcucci

The properties of kaonic nuclei are studied using a two-dimensional Skyrme-Hartree-Fock model with a $KN$ Skyrme force. We focus in particular on the instability of the solutions for a too strong $KN$ interaction, which determines a maximum…

Nuclear Theory · Physics 2019-10-11 Yun Jin , Chao Feng Chen , Xian-Rong Zhou , Yi-Yuan Cheng , H. -J. Schulze

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

Properties of asymmetric nuclear matter are derived from various many-body approaches. This includes phenomenological ones like the Skyrme Hartree-Fock and relativistic mean field approaches, which are adjusted to fit properties of nuclei,…

Nuclear Theory · Physics 2009-04-28 P. Gögelein , E. N. E. van Dalen , Kh. Gad , Kh. S. A. Hassaneen , H. Müther

We examine a recently proposed nucleon-nucleon interaction, claimed by its authors both realistic and leading to a standing wave instability in symmetric nuclear matter. Contrary to these claims, we find that this interaction leads to a…

Nuclear Theory · Physics 2009-11-07 Janusz Skalski

The standard Hartree--Fock approximation of the $O(N)-$invariant $\phi^4$ model suffers from serious renormalization problems. In addition, when the symmetry is spontaneously broken, another shortcoming appears in relation to the Goldstone…

High Energy Physics - Phenomenology · Physics 2013-05-29 Claudio Destri , Andrea Sartirana

The Hartree-Fock (HF) approximation has been an important tool for quantum-chemical calculations since its earliest appearance in the late 1920s, and remains the starting point of most single-reference methods in use today. Intuition…

Chemical Physics · Physics 2023-07-06 Steven Crisostomo , Mel Levy , Kieron Burke

A new version of a Hartree-Fock program is presented that includes extensions for partially filled f-subshells. The program allows the calculation of term dependent Hartree-Fock orbitals and energies in LS coupling for configurations with…

Atomic Physics · Physics 2009-11-10 G. Gaigalas , C. Froese Fischer

We use the Hartree-Fock method to study an interacting one-dimensional electron system on a finite wire, partially depleted at the center by a smooth potential barrier. A uniform one-Tesla Zeeman field is applied throughout the system. We…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Jiang Qian , Bertrand I. Halperin

Semi-realistic nucleon-nucleon interactions applicable to the self-consistent mean-field (both Hartree-Fock and Hartree-Fock-Bogolyubov) calculations are developed, by modifying the M3Y interaction. The modification is made so as to…

Nuclear Theory · Physics 2014-11-18 H. Nakada

Accurate modeling of conical intersections is crucial in nonadiabatic molecular dynamics, as these features govern processes such as radiationless transitions and photochemical reactions. Conventional electronic structure methods, including…

Chemical Physics · Physics 2025-09-01 Federico Rossi , Henrik Koch

The scaled harmonic oscillator basis (SHO) is derived by a local scaling-point transformation of the spherical harmonic oscillator radial wave functions. The unitary scaling transformation produces a basis with improved asymptotic…

Nuclear Theory · Physics 2008-11-26 M. Stoitsov , P. Ring , D. Vretenar , G. A. Lalazissis

We explore the effects on nuclear bulk properties of using regularization cutoffs larger than the nucleon mass within the chiral effective field theory with a power counting that ensures order-by-order renormalization in the two-nucleon…

Nuclear Theory · Physics 2026-04-27 M. Sánchez Sánchez , Dao Duy Duc , L. Bonneau

The information-geometric statistical analysis on the stability of model reductions, reported previously [Imbri\v{s}ak and Nomura, Phys. Rev. C 107, 034304 (2023)] with a focus on the manifold boundary approximation method in the…

Nuclear Theory · Physics 2023-08-31 M. Imbrišak , K. Nomura

The coordinate-space Hartree-Fock-Bogoliubov (HFB) approach with quasiparticle blocking has been applied to study the odd-A weakly bound nuclei $^{17,19}$B and $^{37}$Mg, in which halo structures have been reported in experiments. The…

Nuclear Theory · Physics 2015-06-16 Xueyu Xiong , Junchen Pei , Yinu Zhang , Yi Zhu

Numerical difficulties associated with computing matrix elements of operators between Hartree-Fock-Bogoliubov (HFB) wavefunctions have plagued the development of HFB-based many-body theories for decades. The problem arises from divisions by…

Chemical Physics · Physics 2023-06-09 Guo P. Chen , Gustavo E. Scuseria

Hamiltonian and Schrodinger evolution equations on finite-dimensional projective space are analyzed in detail. Hartree-Fock (HF) manifold is introduced as a submanifold of many electron projective space of states. Evolution equations, exact…

Chemical Physics · Physics 2011-11-10 A. I. Panin

A microscopic and consistent description of both nuclear structure and reactions is instrumental to extend the predictivity of models calculating scattering observables. In particular, this is crucial in the case of exotic nuclei not yet…

Nuclear Theory · Physics 2022-11-28 Andrea Idini , Jimmy Rotureau , Johan Boström , Jimmy Ljungberg , B. Gillis Carlsson

We perform Hartree-Fock+BCS calculations for even-even nuclei with 2 <= Z <= 82 and N ranging from outside the proton drip line to the experimental frontier on the neutron-rich side. The ground state solutions are obtained for 737 nuclei,…

Nuclear Theory · Physics 2009-10-28 N. Tajima , N. Onishi , S. Takahara

We present an efficient numerical method for simulating the low-energy properties of disordered many-particle systems. The method which is based on the quantum-chemical configuration interaction approach consists in diagonalizing the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Thomas Vojta , Frank Epperlein , Michael Schreiber
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