Hartree-Fock Approximation for the $Abinitio$ No-Core Shell Model

Abstract

The spherical Hartree-Fock approximation is applied to the $abinitio$ no-core shell model, with a realistic effective nucleon-nucleon interaction in order to investigate the range of its utility. Hartree-Fock results for binding energies, one-body density distributions and occupation probabilities are compared with results from exact diagonalization in similar model spaces. We show that this mean field approximation, especially with second order corrections, is able to provide some useful approximatons for ${}^{4}He$ and ${}^{16}O$. We also explore the physical insights provided by the Hartree-Fock results for single-particle properties such as spin-orbit splittings. We find single particle state ordering consistent with the phenomenological shell model.

References in corpus (12)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Few-nucleon systems in translationally invariant harmonic oscillator basis
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Large-basis shell-model calculations for p-shell nuclei
• No-core shell-model calculations with starting- energy-independent multi-valued effective interactions
• Large-basis shell model studies of light nuclei with a multi-valued G-matrix effective interaction
• Low momentum nucleon-nucleon potentials with half-on-shell T-matrix equivalence
• Shell-model calculations for the three-nucleon system
• Ground-state properties of closed-shell nuclei with low-momentum realistic interactions
• Many-body perturbation calculation of spherical nuclei with a separable monopole interaction: I. Finite nuclei

Cited by in corpus (7)

• $Ab$ $initio$ nuclear many-body perturbation calculations in the Hartree-Fock basis
• Can Long-Range Nuclear Properties Be Influenced By Short Range Interactions? A chiral dynamics estimate
• Ab initio coupled-cluster and configuration interaction calculations for 16-O using V_UCOM
• No-core shell model for 48-Ca, 48-Sc and 48-Ti
• Brueckner-Hartree-Fock and its renormalized calculations for finite nuclei
• Comparison of elastic electron or positron scattering from proton-rich nuclei
• No-core shell model for A = 47 and A = 49