# Dynamical Symmetries Reflected in Realistic Interactions

## Abstract

Realistic nucleon-nucleon (NN) interactions, derived within the framework of meson theory or more recently in terms of chiral effective field theory, yield new possibilities for achieving a unified microscopic description of atomic nuclei. Based on spectral distribution methods, a comparison of these interactions to a most general Sp(4) dynamically symmetric interaction, which previously we found to reproduce well that part of the interaction that is responsible for shaping pairing-governed isobaric analog 0{sup +} states, can determine the extent to which this significantly simpler model Hamiltonian can be used to obtain an approximate, yet very good description of low-lying nuclear structure. And furthermore, one can apply this model in situations that would otherwise be prohibitive because of the size of the model space. In addition, we introduce a Sp(4) symmetry breaking term by including the quadrupole-quadrupole interaction in the analysis and examining the capacity of this extended model interaction to imitate realistic interactions. This provides a further step towards gaining a better understanding of the underlying foundation of realistic interactions and their ability to reproduce striking features of nuclei such as strong pairing correlations or collective rotational motion.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center (SLAC)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 901828

- Report Number(s):
- SLAC-PUB-12444

nucl-th/0703067; TRN: US200717%%76

- DOE Contract Number:
- AC02-76SF00515

- Resource Type:
- Conference

- Resource Relation:
- Conference: To appear in the proceedings of 25th International Workshop on Nuclear Theory, Rila, Bulgaria, 26 Jun - 1 Jul 2006

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CAPACITY; DISTRIBUTION; HAMILTONIANS; ISOBARIC ANALOGS; MESONS; NUCLEAR STRUCTURE; NUCLEAR THEORY; NUCLEI; SYMMETRY BREAKING; Theory-Nucl,HEPPH

### Citation Formats

```
Sviratcheva, K.D., Draayer, J.P., /Louisiana State U., Vary, J.P., and /Iowa State U. /LLNL, Livermore /SLAC.
```*Dynamical Symmetries Reflected in Realistic Interactions*. United States: N. p., 2007.
Web.

```
Sviratcheva, K.D., Draayer, J.P., /Louisiana State U., Vary, J.P., & /Iowa State U. /LLNL, Livermore /SLAC.
```*Dynamical Symmetries Reflected in Realistic Interactions*. United States.

```
Sviratcheva, K.D., Draayer, J.P., /Louisiana State U., Vary, J.P., and /Iowa State U. /LLNL, Livermore /SLAC. Fri .
"Dynamical Symmetries Reflected in Realistic Interactions". United States.
doi:. https://www.osti.gov/servlets/purl/901828.
```

```
@article{osti_901828,
```

title = {Dynamical Symmetries Reflected in Realistic Interactions},

author = {Sviratcheva, K.D. and Draayer, J.P. and /Louisiana State U. and Vary, J.P. and /Iowa State U. /LLNL, Livermore /SLAC},

abstractNote = {Realistic nucleon-nucleon (NN) interactions, derived within the framework of meson theory or more recently in terms of chiral effective field theory, yield new possibilities for achieving a unified microscopic description of atomic nuclei. Based on spectral distribution methods, a comparison of these interactions to a most general Sp(4) dynamically symmetric interaction, which previously we found to reproduce well that part of the interaction that is responsible for shaping pairing-governed isobaric analog 0{sup +} states, can determine the extent to which this significantly simpler model Hamiltonian can be used to obtain an approximate, yet very good description of low-lying nuclear structure. And furthermore, one can apply this model in situations that would otherwise be prohibitive because of the size of the model space. In addition, we introduce a Sp(4) symmetry breaking term by including the quadrupole-quadrupole interaction in the analysis and examining the capacity of this extended model interaction to imitate realistic interactions. This provides a further step towards gaining a better understanding of the underlying foundation of realistic interactions and their ability to reproduce striking features of nuclei such as strong pairing correlations or collective rotational motion.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Fri Apr 06 00:00:00 EDT 2007},

month = {Fri Apr 06 00:00:00 EDT 2007}

}