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We investigate the existence of holomorphic Hartree-Fock solutions using a revised SCF algorithm. We use this algorithm to study the Hartree-Fock solutions for H$_{2}$ and H$_{4}^{2+}$ and report the emergence of holomorphic solutions at…

Chemical Physics · Physics 2015-11-20 Hugh G. A. Burton , Alex J. W. Thom

We propose a mean field framework in which the charge and the parity symmetries of a single-particle state are broken. We break these symmetries to incorporate the correlation induced by the tensor force into a nuclear mean field model. We…

Nuclear Theory · Physics 2009-11-10 Satoru Sugimoto , Kiyomi Ikeda , Hiroshi Toki

Starting from the relativistic form of the Bonn potential as a bare nucleon-nucleon interaction, the full Relativistic Brueckner-Hartree-Fock (RBHF) equations are solved for finite nuclei in a fully self-consistent basis. This provides a…

Nuclear Theory · Physics 2017-08-03 Shihang Shen , Haozhao Liang , Jie Meng , Peter Ring , Shuangquan Zhang

We describe the program HFBTHO for axially deformed configurational Hartree-Fock-Bogoliubov calculations with Skyrme-forces and zero-range pairing interaction using Harmonic-Oscillator and/or Transformed Harmonic-Oscillator states. The…

Nuclear Theory · Physics 2009-11-10 M. V. Stoitsov , J. Dobaczewski , W. Nazarewicz , P. Ring

We describe the new version (v2.73y) of the code HFODD which solves the nuclear Skyrme Hartree-Fock or Skyrme Hartree-Fock-Bogolyubov problem by using the Cartesian deformed harmonic-oscillator basis. In the new version, we have implemented…

Although many programs have been published for fully numerical Hartree--Fock (HF) or density functional (DF) calculations on atoms, we are not aware of any that support hybrid DFs, which are popular within the quantum chemistry community…

Chemical Physics · Physics 2019-08-19 Susi Lehtola

We present a symmetry projection technique for enforcing rotational and parity symmetries in nuclear-electronic Hartree-Fock wave functions, which treat electrons and nuclei on equal footing. The molecular Hamiltonian obeys rotational and…

Chemical Physics · Physics 2023-11-03 Robin Feldmann , Alberto Baiardi , Markus Reiher

A linear-scaling algorithm is presented for computing the Hartree-Fock (HF) exchange matrix using concentric atomic density fitting. The algorithm utilizes the stronger distance dependence of the three-center electron repulsion integrals…

Chemical Physics · Physics 2014-10-21 David S. Hollman , Henry F. Schaefer , Edward F. Valeev

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

A low-momentum nucleon-nucleon (NN) potential V-low-k is derived from modern realistic NN potentials by integrating out the high-momentum modes. The smooth V-low-k may be used as input for nuclear structure calculations instead of the usual…

Nuclear Theory · Physics 2017-08-23 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

We have performed deformed Hartree-Fock+BCS calculations with the Skyrme SIII force for the ground states of even-even nuclei with 2 <= Z <= 114 and N ranging from outside the proton drip line to beyond the experimental frontier in the…

Nuclear Theory · Physics 2009-10-30 Naoki Tajima , Satoshi Takahara , Naoki Onishi

{Full three dimensional static and dynamic mean field calculations using collocation basis splines with a Skyrme type Hamiltonian are described. This program is developed to address the difficult theoretical challenges offered by exotic…

Nuclear Theory · Physics 2009-09-25 C. R. Chinn , A. S. Umar , M. Vallières , M. R. Strayer

An ab initio Wannier-function-based approach to electronic ground-state calculations for crystalline solids is outlined. In the framework of the linear combination of atomic orbitals method the infinite character of the solid is rigorously…

Condensed Matter · Physics 2009-10-31 Martin Albrecht , Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll

One of the open problems in nuclear structure is how to predict properties of finite nuclei from the knowledge of a bare nucleon-nucleon interaction of the meson-exchange type. We point out that a promising starting point consists in…

Nuclear Theory · Physics 2014-11-20 Nguyen Van Giai , Brett V. Carlson , Zhongyu Ma , Hermann Wolter

The two-basis method to solve the HFB for deformed nuclei in coordinate space is examined concerning the precision of the density tail. Small cutoff energies are shown to give rise to ripples in the tail, whose wave length corresponds to…

Nuclear Theory · Physics 2007-05-23 Naoki Tajima

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the…

Nuclear Theory · Physics 2010-04-06 Wen Hui Long , Peter Ring , Nguyen Van Giai , Jie Meng

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

A uniform derivation is presented of the self-consistent field equations in a finite basis set. Both restricted and unrestricted Hartree-Fock (HF) theory as well as various density functional (DF) approximations are considered. The unitary…

Computational Physics · Physics 2020-03-10 Susi Lehtola , Frank Blockhuys , Christian Van Alsenoy

We report a three-dimensional numerical implementation of multiconfiguration time-dependent Hartree-Fock (MCTDHF) based on a multi-resolution Cartesian grid, with no need to assume any symmetry of molecular structure. We successfully…

Computational Physics · Physics 2016-03-23 Ryohto Sawada , Takeshi Sato , Kenichi L. Ishikawa

We describe the new version (v2.07f) of the code HFODD which solves the nuclear Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov problem by using the Cartesian deformed harmonic-oscillator basis. In the new version, all symmetries can…

Nuclear Theory · Physics 2009-11-10 J. Dobaczewski , P. Olbratowski