# Charge and parity projected relativistic mean field model with pion for finite nuclei

## Abstract

We construct a new relativistic mean field model by explicitly introducing a {pi}-meson mean field with charge number and parity projection. We call this model the charge and parity projected relativistic mean field (CPPRMF) model. We take the chiral {sigma} model Lagrangian for the construction of finite nuclei. We apply this framework first for the {sup 4}He nucleus as a pilot case and study the role of the {pi}-meson field on the structure of nuclei. We demonstrate that it is essential to solve the mean field equation with the variation introduced after the projection in order to take the pionic correlations into account explicitly. We study the ground-state properties of {sup 4}He by varying several parameters, such as the {sigma}-meson mass and the {omega}-meson coupling constant. We are able to construct a good ground state for {sup 4}He. A depression appears in the central region of the density distribution, and the second maximum and the position of the dip in the form factor of {sup 4}He are naturally obtained in the CPPRMF model.

- Authors:

- Research Center for Nuclear Physics (RCNP), Osaka University, Osaka 567-0047 (Japan)
- (Japan)
- (RIKEN), Wako, Saitama 351-0198 (Japan)

- Publication Date:

- OSTI Identifier:
- 20771324

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.73.034301; (c) 2006 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; ALPHA PARTICLES; ATOMIC NUMBER; CHIRAL SYMMETRY; CORRELATIONS; COUPLING CONSTANTS; FORM FACTORS; GROUND STATES; HELIUM 4; LAGRANGIAN FUNCTION; MEAN-FIELD THEORY; NONLINEAR PROBLEMS; NUCLEAR MATTER; NUCLEAR MODELS; OMEGA-782 MESONS; PARITY; PIONS; QUANTUM FIELD THEORY; RELATIVISTIC RANGE; SIGMA MODEL

### Citation Formats

```
Ogawa, Yoko, Toki, Hiroshi, Tamenaga, Setsuo, Sugimoto, Satoru, Ikeda, Kiyomi, Department of Physics, Kyoto University, Kyoto 606-8502, and Institute of Physical and Chemical Research.
```*Charge and parity projected relativistic mean field model with pion for finite nuclei*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevC.73.034301.

```
Ogawa, Yoko, Toki, Hiroshi, Tamenaga, Setsuo, Sugimoto, Satoru, Ikeda, Kiyomi, Department of Physics, Kyoto University, Kyoto 606-8502, & Institute of Physical and Chemical Research.
```*Charge and parity projected relativistic mean field model with pion for finite nuclei*. United States. doi:10.1103/PhysRevC.73.034301.

```
Ogawa, Yoko, Toki, Hiroshi, Tamenaga, Setsuo, Sugimoto, Satoru, Ikeda, Kiyomi, Department of Physics, Kyoto University, Kyoto 606-8502, and Institute of Physical and Chemical Research. Wed .
"Charge and parity projected relativistic mean field model with pion for finite nuclei". United States.
doi:10.1103/PhysRevC.73.034301.
```

```
@article{osti_20771324,
```

title = {Charge and parity projected relativistic mean field model with pion for finite nuclei},

author = {Ogawa, Yoko and Toki, Hiroshi and Tamenaga, Setsuo and Sugimoto, Satoru and Ikeda, Kiyomi and Department of Physics, Kyoto University, Kyoto 606-8502 and Institute of Physical and Chemical Research},

abstractNote = {We construct a new relativistic mean field model by explicitly introducing a {pi}-meson mean field with charge number and parity projection. We call this model the charge and parity projected relativistic mean field (CPPRMF) model. We take the chiral {sigma} model Lagrangian for the construction of finite nuclei. We apply this framework first for the {sup 4}He nucleus as a pilot case and study the role of the {pi}-meson field on the structure of nuclei. We demonstrate that it is essential to solve the mean field equation with the variation introduced after the projection in order to take the pionic correlations into account explicitly. We study the ground-state properties of {sup 4}He by varying several parameters, such as the {sigma}-meson mass and the {omega}-meson coupling constant. We are able to construct a good ground state for {sup 4}He. A depression appears in the central region of the density distribution, and the second maximum and the position of the dip in the form factor of {sup 4}He are naturally obtained in the CPPRMF model.},

doi = {10.1103/PhysRevC.73.034301},

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

number = 3,

volume = 73,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}