# Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions

## Abstract

We report the first study of restoration of rotational symmetry and fluctuations of the quadrupole deformation in the framework of relativistic mean-field models. A model is developed that uses the generator coordinate method to perform configuration mixing calculations of angular-momentum-projected wave functions, calculated in a relativistic point-coupling model. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the constrained relativistic mean-field + BCS equations in an axially deformed oscillator basis. A number of illustrative calculations are performed for the nuclei {sup 194}Hg and {sup 32}Mg, in comparison with results obtained in nonrelativistic models based on Skyrme and Gogny effective interactions.

- Authors:

- Physics Department, Faculty of Science, University of Zagreb, Croatia, and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching (Germany)
- (Germany)

- Publication Date:

- OSTI Identifier:
- 20771331

- 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.73.034308; (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; ANGULAR MOMENTUM; APPROXIMATIONS; AXIAL SYMMETRY; COMPARATIVE EVALUATIONS; CONFIGURATION MIXING; COUPLING; FLUCTUATIONS; GENERATOR-COORDINATE METHOD; GEOMETRY; MAGNESIUM 32; MATHEMATICAL SOLUTIONS; MEAN-FIELD THEORY; MERCURY 194; NUCLEAR DEFORMATION; OSCILLATORS; QUADRUPOLES; RELATIVISTIC RANGE; SKYRME POTENTIAL; WAVE FUNCTIONS

### Citation Formats

```
Niksic, T., Vretenar, D., Ring, P., and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching.
```*Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevC.73.034308.

```
Niksic, T., Vretenar, D., Ring, P., & Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching.
```*Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions*. United States. doi:10.1103/PhysRevC.73.034308.

```
Niksic, T., Vretenar, D., Ring, P., and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching. Wed .
"Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions". United States.
doi:10.1103/PhysRevC.73.034308.
```

```
@article{osti_20771331,
```

title = {Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions},

author = {Niksic, T. and Vretenar, D. and Ring, P. and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching},

abstractNote = {We report the first study of restoration of rotational symmetry and fluctuations of the quadrupole deformation in the framework of relativistic mean-field models. A model is developed that uses the generator coordinate method to perform configuration mixing calculations of angular-momentum-projected wave functions, calculated in a relativistic point-coupling model. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the constrained relativistic mean-field + BCS equations in an axially deformed oscillator basis. A number of illustrative calculations are performed for the nuclei {sup 194}Hg and {sup 32}Mg, in comparison with results obtained in nonrelativistic models based on Skyrme and Gogny effective interactions.},

doi = {10.1103/PhysRevC.73.034308},

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}

}