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We present a systematic analysis of the description of odd nuclei by the Skyrme-Hartree-Fock approach augmented with pairing in BCS approximation and blocking of the odd nucleon. Current and spin densities in the Skyrme functional produce…

Nuclear Theory · Physics 2010-11-08 K. J. Pototzky , J. Erler , P. -G. Reinhard , V. O. Nesterenko

Hartree-Fock calculations with the SKX Skyrme interaction are carried out to obtain alpha-decay Q values for deformed nuclei above $^{208}$Pb assuming axial symmetry. The results for even-even nuclei are compared with experiment and with…

Nuclear Theory · Physics 2008-11-26 S. Typel , B. A. Brown

Gamow-Teller strength distributions and beta-decay half-lives in neutron-deficient Kr and Sr isotopes are investigated within a deformed quasiparticle random phase approximation. The approach is based on a selfconsistent Skyrme Hartree-Fock…

Nuclear Theory · Physics 2009-12-31 P. Sarriguren

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

An implementation of the Hartree-Fock (HF) method capable of robust convergence for well-behaved arbitrary central potentials is presented. The Hartree-Fock equations are converted to a generalized eigenvalue problem by employing a B-spline…

Atomic Physics · Physics 2021-08-13 D. T. Waide , D. G. Green , G. F. Gribakin

To describe the yrast states in weakly bound nuclei, I directly solve the coordinate-space cranked Skyrme-Hartree-Fock-Bogoliubov equation on a three-dimensional lattice with the continuum states discretized in a box. After the numerical…

Nuclear Theory · Physics 2022-02-21 Kenichi Yoshida

Multiconfigurational Hartree-Fock theory is presented and implemented in an investigation of the fragmentation of a Bose-Einstein condensate made of identical bosonic atoms in a double well potential at zero temperature. The approach builds…

Other Condensed Matter · Physics 2007-10-16 D. Masiello , S. B. McKagan , W. P. Reinhardt

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

The density of an atom in a state of well-defined angular momentum has a specific finite spherical harmonic content, without and with interactions. Approximate single-particle schemes, such as the Hartree, Hartree-Fock, and Local Density…

Materials Science · Physics 2009-02-05 H. A. Fertig , W. Kohn

Angular-momentum-projected energy surface calculations for A~110 nuclei indicate three distinct energy minima occurring at different angular-momenta. These correspond to normal, super-, and hyper-deformed shapes coexisting in one nucleus.…

Nuclear Theory · Physics 2008-02-01 Yang Sun , Jing-ye Zhang , Gui-Lu Long , Cheng-Li Wu

The properties of isospin-asymmetric nuclear matter have been investigated in the framework of the extended Brueckner-Hartree-Fock approximation at zero temperature. Self-consistent calculations using the Argonne $V_{14}$ interaction are…

Nuclear Theory · Physics 2009-11-07 W. Zuo , I. Bombaci , U. Lombardo

The energy levels of the first few low-lying states of helium and lithium atoms in intense magnetic fields up to $\approx 10^8-10^9$~T are calculated in this study. A pseudospectral method is employed for the computational procedure. The…

Quantum Physics · Physics 2014-06-11 Anand Thirumalai , Jeremy S. Heyl

Projected Hartree-Fock theory provides an accurate description of many kinds of strong correlation but does not properly describe weakly correlated systems. Coupled cluster theory, in contrast, does the opposite. It therefore seems natural…

Strongly Correlated Electrons · Physics 2017-08-22 Ethan Qiu , Thomas M. Henderson , Gustavo E. Scuseria

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

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

The nuclear symmetry energy is defined by the second derivative of the energy per nucleon with respect to the proton-neutron asymmetry, and is sometimes approximated by the energy difference between the neutron matter and the symmetric…

Nuclear Theory · Physics 2017-04-24 Y. Tsukioka , H. Nakada

The past several years have seen renewed interest in the use of symmetry-projected Hartree-Fock for the description of strong correlations. Unfortunately, these symmetry-projected mean-field methods do not adequately account for dynamic…

Chemical Physics · Physics 2017-08-22 Thomas M. Henderson , Gustavo E. Scuseria

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 unrestricted Hartree Fock method coupled with configuration interaction (CI) method (URHF-CI) suitable for the calculation of ground and excited states of large number of electrons localized by complex gate potentials in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ramin M. Abolfath , Pawel Hawrylak

We investigate reliability of Gamow-Teller transition strengths computed in the proton-neutron random phase approximation, comparing with exact results from diagonalization in full $0\hbar\omega$ shell-model spaces. By allowing the…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Calvin W. Johnson