# Relativistic mean field model based on realistic nuclear forces

## Abstract

In order to predict properties of asymmetric nuclear matter, we construct a relativistic mean field (RMF) model consisting of one-meson exchange (OME) terms and point coupling (PC) terms. In order to determine the density dependent parameters of this model, we use properties of isospin symmetric nuclear matter in combination with the information on nucleon-nucleon scattering data, which are given in the form of the density dependent G-matrix derived from Brueckner calculations based on the Tamagaki potential. We show that the medium- and long-range components of this G-matrix can be described reasonably well by our effective OME interaction. In order to take into account the short-range part of the nucleon-nucleon interaction, which cannot be described well in this manner, a point coupling term is added. Its analytical form is taken from a model based on chiral perturbation theory. It contains only one additional parameter, which does not depend on the density. It is, together with the parameters of the OME potentials adjusted to the equation of state of symmetric nuclear matter. We apply this model for the investigation of asymmetric nuclear matter and find that the results for the symmetry energy as well as for the equation of state of puremore »

- Authors:

- Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033 (Japan)
- (Germany)
- (Japan)
- RIKEN, Hirosawa, Wako-shi, Saitama 351-0198 (Japan)

- Publication Date:

- OSTI Identifier:
- 20991002

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.75.024301; (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; ASYMMETRY; BOSON-EXCHANGE MODELS; CHIRALITY; COUPLING; DENSITY; EQUATIONS OF STATE; G MATRIX; ISOSPIN; MEAN-FIELD THEORY; NEUTRON STARS; NUCLEAR FORCES; NUCLEAR MATTER; NUCLEON-NUCLEON INTERACTIONS; RELATIVISTIC RANGE

### Citation Formats

```
Hirose, S., Serra, M., Ring, P., Physik department, Technische Universitaet Muenchen, Garching, Otsuka, T., Center for Nuclear Study, University of Tokyo, Hongo, Bunkyoku, Tokyo 113-0033, RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Akaishi, Y., and Nihon University, Funabashi-shi, Chiba 274-8501.
```*Relativistic mean field model based on realistic nuclear forces*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.024301.

```
Hirose, S., Serra, M., Ring, P., Physik department, Technische Universitaet Muenchen, Garching, Otsuka, T., Center for Nuclear Study, University of Tokyo, Hongo, Bunkyoku, Tokyo 113-0033, RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Akaishi, Y., & Nihon University, Funabashi-shi, Chiba 274-8501.
```*Relativistic mean field model based on realistic nuclear forces*. United States. doi:10.1103/PHYSREVC.75.024301.

```
Hirose, S., Serra, M., Ring, P., Physik department, Technische Universitaet Muenchen, Garching, Otsuka, T., Center for Nuclear Study, University of Tokyo, Hongo, Bunkyoku, Tokyo 113-0033, RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Akaishi, Y., and Nihon University, Funabashi-shi, Chiba 274-8501. Thu .
"Relativistic mean field model based on realistic nuclear forces". United States.
doi:10.1103/PHYSREVC.75.024301.
```

```
@article{osti_20991002,
```

title = {Relativistic mean field model based on realistic nuclear forces},

author = {Hirose, S. and Serra, M. and Ring, P. and Physik department, Technische Universitaet Muenchen, Garching and Otsuka, T. and Center for Nuclear Study, University of Tokyo, Hongo, Bunkyoku, Tokyo 113-0033 and RIKEN, Hirosawa, Wako-shi, Saitama 351-0198 and Akaishi, Y. and Nihon University, Funabashi-shi, Chiba 274-8501},

abstractNote = {In order to predict properties of asymmetric nuclear matter, we construct a relativistic mean field (RMF) model consisting of one-meson exchange (OME) terms and point coupling (PC) terms. In order to determine the density dependent parameters of this model, we use properties of isospin symmetric nuclear matter in combination with the information on nucleon-nucleon scattering data, which are given in the form of the density dependent G-matrix derived from Brueckner calculations based on the Tamagaki potential. We show that the medium- and long-range components of this G-matrix can be described reasonably well by our effective OME interaction. In order to take into account the short-range part of the nucleon-nucleon interaction, which cannot be described well in this manner, a point coupling term is added. Its analytical form is taken from a model based on chiral perturbation theory. It contains only one additional parameter, which does not depend on the density. It is, together with the parameters of the OME potentials adjusted to the equation of state of symmetric nuclear matter. We apply this model for the investigation of asymmetric nuclear matter and find that the results for the symmetry energy as well as for the equation of state of pure neutron matter are in good agreement with either experimental data or with presently adopted theoretical predictions. In order to test the model at higher density, we use its equation of state for an investigation of properties of neutron stars.},

doi = {10.1103/PHYSREVC.75.024301},

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

number = 2,

volume = 75,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}