# Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method

## Abstract

Recently, we developed a mean-field-type framework that treats the correlation induced by the tensor force. We treat the tensor correlation by introducing intrinsic single-particle states with parity and charge mixing. We make a total wave function with definite charge number and good parity by performing the charge number and parity projections. Taking a variation of the total energy calculated with the projected wave function, we obtain a Hartree-Fock-like equation (charge- and parity-projected Hartree-Fock equation). We extend further the charge- and parity-projected Hartree-Fock method to include a three-body force, which is important to reproduce the saturation property of nuclei in a mean-field framework. We apply the charge- and parity-projected Hartree-Fock method to sub-closed-shell oxygen isotopes ({sup 14}O, {sup 16}O, {sup 22}O, {sup 24}O, and {sup 28}O) to study the effect of the tensor correlation and its dependence on neutron number. We obtain reasonable binding energies and matter radii for these nuclei. It is found that relatively large energy gains come from the tensor force in these isotopes and further the blocking effect on the tensor correlation arises due to additional neutrons.

- Authors:

- Kyoto University, Kitashirakawa, Kyoto 606-8502 (Japan)
- (RIKEN), Wako, Saitama 351-0198 (Japan)
- (RCNP), Osaka University, Ibaraki, Osaka 567-0047 (Japan)

- Publication Date:

- OSTI Identifier:
- 20990956

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.75.014317; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BINDING ENERGY; CORRELATIONS; EQUATIONS; HARTREE-FOCK METHOD; MEAN-FIELD THEORY; NEUTRONS; OXYGEN 14; OXYGEN 16; OXYGEN 22; OXYGEN 24; OXYGEN 28; PARITY; TENSOR FORCES; TENSORS; THREE-BODY PROBLEM; WAVE FUNCTIONS

### Citation Formats

```
Sugimoto, Satoru, Ikeda, Kiyomi, Toki, Hiroshi, The Institute of Physical and Chemical Research, and Research Center for Nuclear Physics.
```*Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.014317.

```
Sugimoto, Satoru, Ikeda, Kiyomi, Toki, Hiroshi, The Institute of Physical and Chemical Research, & Research Center for Nuclear Physics.
```*Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method*. United States. doi:10.1103/PHYSREVC.75.014317.

```
Sugimoto, Satoru, Ikeda, Kiyomi, Toki, Hiroshi, The Institute of Physical and Chemical Research, and Research Center for Nuclear Physics. Mon .
"Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method". United States.
doi:10.1103/PHYSREVC.75.014317.
```

```
@article{osti_20990956,
```

title = {Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method},

author = {Sugimoto, Satoru and Ikeda, Kiyomi and Toki, Hiroshi and The Institute of Physical and Chemical Research and Research Center for Nuclear Physics},

abstractNote = {Recently, we developed a mean-field-type framework that treats the correlation induced by the tensor force. We treat the tensor correlation by introducing intrinsic single-particle states with parity and charge mixing. We make a total wave function with definite charge number and good parity by performing the charge number and parity projections. Taking a variation of the total energy calculated with the projected wave function, we obtain a Hartree-Fock-like equation (charge- and parity-projected Hartree-Fock equation). We extend further the charge- and parity-projected Hartree-Fock method to include a three-body force, which is important to reproduce the saturation property of nuclei in a mean-field framework. We apply the charge- and parity-projected Hartree-Fock method to sub-closed-shell oxygen isotopes ({sup 14}O, {sup 16}O, {sup 22}O, {sup 24}O, and {sup 28}O) to study the effect of the tensor correlation and its dependence on neutron number. We obtain reasonable binding energies and matter radii for these nuclei. It is found that relatively large energy gains come from the tensor force in these isotopes and further the blocking effect on the tensor correlation arises due to additional neutrons.},

doi = {10.1103/PHYSREVC.75.014317},

journal = {Physical Review. C, Nuclear Physics},

number = 1,

volume = 75,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}