skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Long range tensor correlations in charge and parity projected fermionic molecular dynamics

Abstract

Within the framework of fermionic molecular dynamics a method is developed to better account for long-range tensor correlations in nuclei when working with a single Slater determinant. Single-particle states with mixed isospin and broken parity build up an intrinsic Slater determinant, which is then charge and parity projected. By minimizing the energy of this many-body state with respect to the parameters of the single-particle states and projecting afterward on angular momentum, ground-state energies are obtained that are systematically lower than corresponding Hartree-Fock results. The realistic Argonne V18 potential is used and short-range correlations are treated with the unitary correlation operator method. Comparison with exact few-body calculations shows that in {sup 4}He about one-fifth of the correlation energy from long-range correlations are accounted for. These correlations, which extend over the whole nucleus, are visualized with the isospin and spin-isospin density of the intrinsic state. The divergence of the spin-isospin density, the source for pion fields, turns out to be of dipole nature.

Authors:
; ;  [1]
  1. Gesellschaft fuer Schwerionenforschung, Planckstrasse 1, D-64291 Darmstadt (Germany)
Publication Date:
OSTI Identifier:
21192285
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 78; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.78.044306; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; COMPARATIVE EVALUATIONS; DENSITY; DIPOLES; ELECTRON CORRELATION; FERMIONS; GROUND STATES; HARTREE-FOCK METHOD; HELIUM 4; ISOSPIN; MANY-BODY PROBLEM; MOLECULAR DYNAMICS METHOD; PARITY; PIONS; SLATER METHOD; SPIN

Citation Formats

Bacca, Sonia, Feldmeier, Hans, and Neff, Thomas. Long range tensor correlations in charge and parity projected fermionic molecular dynamics. United States: N. p., 2008. Web. doi:10.1103/PHYSREVC.78.044306.
Bacca, Sonia, Feldmeier, Hans, & Neff, Thomas. Long range tensor correlations in charge and parity projected fermionic molecular dynamics. United States. https://doi.org/10.1103/PHYSREVC.78.044306
Bacca, Sonia, Feldmeier, Hans, and Neff, Thomas. 2008. "Long range tensor correlations in charge and parity projected fermionic molecular dynamics". United States. https://doi.org/10.1103/PHYSREVC.78.044306.
@article{osti_21192285,
title = {Long range tensor correlations in charge and parity projected fermionic molecular dynamics},
author = {Bacca, Sonia and Feldmeier, Hans and Neff, Thomas},
abstractNote = {Within the framework of fermionic molecular dynamics a method is developed to better account for long-range tensor correlations in nuclei when working with a single Slater determinant. Single-particle states with mixed isospin and broken parity build up an intrinsic Slater determinant, which is then charge and parity projected. By minimizing the energy of this many-body state with respect to the parameters of the single-particle states and projecting afterward on angular momentum, ground-state energies are obtained that are systematically lower than corresponding Hartree-Fock results. The realistic Argonne V18 potential is used and short-range correlations are treated with the unitary correlation operator method. Comparison with exact few-body calculations shows that in {sup 4}He about one-fifth of the correlation energy from long-range correlations are accounted for. These correlations, which extend over the whole nucleus, are visualized with the isospin and spin-isospin density of the intrinsic state. The divergence of the spin-isospin density, the source for pion fields, turns out to be of dipole nature.},
doi = {10.1103/PHYSREVC.78.044306},
url = {https://www.osti.gov/biblio/21192285}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 4,
volume = 78,
place = {United States},
year = {Wed Oct 15 00:00:00 EDT 2008},
month = {Wed Oct 15 00:00:00 EDT 2008}
}