# Beyond the relativistic mean-field approximation. II. Configuration mixing of mean-field wave functions projected on angular momentum and particle number

## Abstract

The framework of relativistic self-consistent mean-field models is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to perform configuration mixing of angular-momentum and particle-number projected relativistic wave functions. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the relativistic mean-field+Lipkin-Nogami BCS equations, with a constraint on the mass quadrupole moment. The model employs a relativistic point-coupling (contact) nucleon-nucleon effective interaction in the particle-hole channel, and a density-independent {delta}-interaction in the pairing channel. Illustrative calculations are performed for {sup 24}Mg, {sup 32}S, and {sup 36}Ar, and compared with results obtained employing the model developed in the first part of this work, i.e., without particle-number projection, as well as with the corresponding 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:
- 20864197

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 74; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.74.064309; (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; ARGON 36; AXIAL SYMMETRY; CONFIGURATION MIXING; CORRELATIONS; COUPLING; FLUCTUATIONS; GENERATOR-COORDINATE METHOD; MAGNESIUM 24; MATHEMATICAL SOLUTIONS; MEAN-FIELD THEORY; NUCLEONS; PARTICLE-HOLE MODEL; QUADRUPOLE MOMENTS; RELATIVISTIC RANGE; SKYRME POTENTIAL; SYMMETRY BREAKING; 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. II. Configuration mixing of mean-field wave functions projected on angular momentum and particle number*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVC.74.064309.

```
Niksic, T., Vretenar, D., Ring, P., & Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching.
```*Beyond the relativistic mean-field approximation. II. Configuration mixing of mean-field wave functions projected on angular momentum and particle number*. United States. doi:10.1103/PHYSREVC.74.064309.

```
Niksic, T., Vretenar, D., Ring, P., and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching. Fri .
"Beyond the relativistic mean-field approximation. II. Configuration mixing of mean-field wave functions projected on angular momentum and particle number". United States.
doi:10.1103/PHYSREVC.74.064309.
```

```
@article{osti_20864197,
```

title = {Beyond the relativistic mean-field approximation. II. Configuration mixing of mean-field wave functions projected on angular momentum and particle number},

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

abstractNote = {The framework of relativistic self-consistent mean-field models is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to perform configuration mixing of angular-momentum and particle-number projected relativistic wave functions. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the relativistic mean-field+Lipkin-Nogami BCS equations, with a constraint on the mass quadrupole moment. The model employs a relativistic point-coupling (contact) nucleon-nucleon effective interaction in the particle-hole channel, and a density-independent {delta}-interaction in the pairing channel. Illustrative calculations are performed for {sup 24}Mg, {sup 32}S, and {sup 36}Ar, and compared with results obtained employing the model developed in the first part of this work, i.e., without particle-number projection, as well as with the corresponding nonrelativistic models based on Skyrme and Gogny effective interactions.},

doi = {10.1103/PHYSREVC.74.064309},

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

number = 6,

volume = 74,

place = {United States},

year = {Fri Dec 15 00:00:00 EST 2006},

month = {Fri Dec 15 00:00:00 EST 2006}

}