# 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:

- (Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States))
- (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}

}