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Title: Variational calculation of the ground state of sup 16 O

Abstract

We report variational calculations of the ground state of {sup 16}O with realistic two- and three-nucleon interactions. The trial wave function is constructed from pair- and triplet-correlation operators acting on a product of single-particle determinants. These operators include central, spin, isospin, tensor, spin-orbit, and three-nucleon potential components. Expectation values are evaluated with a cluster expansion for the noncentral correlations; terms in the expansion are evaluated exactly using Monte Carlo integration. The optimal trial function is obtained by minimizing the energy through the four-body cluster level. Results are reported for the ground-state binding energy, nucleon density and momentum distributions, charge form factor, and longitudinal structure function. They are also compared with the available results for few-body nuclei and nuclear matter with the same interactions.

Authors:
;  [1];  [2]
  1. (Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States))
  2. (Department of Physics, University of Illinois, Urbana, Illinois 61801 (United States))
Publication Date:
OSTI Identifier:
7072425
DOE Contract Number:  
W-31-109-ENG-38
Resource Type:
Journal Article
Journal Name:
Physical Review, C (Nuclear Physics); (United States)
Additional Journal Information:
Journal Volume: 46:5; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; OXYGEN 16; WAVE FUNCTIONS; CHARGE DISTRIBUTION; FORM FACTORS; GROUND STATES; MONTE CARLO METHOD; NUCLEON-NUCLEON POTENTIAL; SCHROEDINGER EQUATION; STRUCTURE FUNCTIONS; VARIATIONAL METHODS; DIFFERENTIAL EQUATIONS; ENERGY LEVELS; EQUATIONS; EVEN-EVEN NUCLEI; FUNCTIONS; ISOTOPES; LIGHT NUCLEI; NUCLEI; OXYGEN ISOTOPES; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; POTENTIALS; STABLE ISOTOPES; WAVE EQUATIONS; 663110* - General & Average Properties of Nuclei & Nuclear Energy Levels- (1992-); 663520 - Nuclear Mass Ranges- A=6-19- (1992-)

Citation Formats

Pieper, S.C., Wiringa, R.B., and Pandharipande, V.R.. Variational calculation of the ground state of sup 16 O. United States: N. p., 1992. Web. doi:10.1103/PhysRevC.46.1741.
Pieper, S.C., Wiringa, R.B., & Pandharipande, V.R.. Variational calculation of the ground state of sup 16 O. United States. doi:10.1103/PhysRevC.46.1741.
Pieper, S.C., Wiringa, R.B., and Pandharipande, V.R.. Sun . "Variational calculation of the ground state of sup 16 O". United States. doi:10.1103/PhysRevC.46.1741.
@article{osti_7072425,
title = {Variational calculation of the ground state of sup 16 O},
author = {Pieper, S.C. and Wiringa, R.B. and Pandharipande, V.R.},
abstractNote = {We report variational calculations of the ground state of {sup 16}O with realistic two- and three-nucleon interactions. The trial wave function is constructed from pair- and triplet-correlation operators acting on a product of single-particle determinants. These operators include central, spin, isospin, tensor, spin-orbit, and three-nucleon potential components. Expectation values are evaluated with a cluster expansion for the noncentral correlations; terms in the expansion are evaluated exactly using Monte Carlo integration. The optimal trial function is obtained by minimizing the energy through the four-body cluster level. Results are reported for the ground-state binding energy, nucleon density and momentum distributions, charge form factor, and longitudinal structure function. They are also compared with the available results for few-body nuclei and nuclear matter with the same interactions.},
doi = {10.1103/PhysRevC.46.1741},
journal = {Physical Review, C (Nuclear Physics); (United States)},
issn = {0556-2813},
number = ,
volume = 46:5,
place = {United States},
year = {1992},
month = {11}
}