# Finite-size instabilities in nuclear energy density functionals

## Abstract

The systematic lack of convergence of self-consistent mean-field calculations with certain parameterizations of the Skyrme energy density functional has been attributed to the appearance of finite-size instabilities. In this contribution, we investigate what happens at the instability associated with the C{sub 0}{sup {Delta}s}s{sub 0} Dot-Operator {Delta}s{sub 0} term in a high-spin state of the superdeformed band in {sup 194}Hg.

- Authors:

- Universite Libre de Bruxelles, PNTPM, CP229, 1050 Bruxelles (Belgium)
- (France) and CNRS/IN2P3, CENBG, UMR5797, F-33170 Gradignan (France)

- Publication Date:

- OSTI Identifier:
- 22075615

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1491; Journal Issue: 1; Conference: Conference on nuclear structure and dynamics 2012, Opatija (Croatia), 9-13 Jul 2012; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DENSITY FUNCTIONAL METHOD; ENERGY DENSITY; HIGH SPIN STATES; MASS NUMBER; MEAN-FIELD THEORY; MERCURY 194; NUCLEAR FORCES; NUCLEAR MATTER; NUCLEAR STRUCTURE; SKYRME POTENTIAL; SUPERDEFORMED NUCLEI

### Citation Formats

```
Hellemans, V., Heenen, P.-H., Bender, M., and Univ. Bordeaux, CENBG, UMR5797, F-33170 Gradignan.
```*Finite-size instabilities in nuclear energy density functionals*. United States: N. p., 2012.
Web. doi:10.1063/1.4764248.

```
Hellemans, V., Heenen, P.-H., Bender, M., & Univ. Bordeaux, CENBG, UMR5797, F-33170 Gradignan.
```*Finite-size instabilities in nuclear energy density functionals*. United States. doi:10.1063/1.4764248.

```
Hellemans, V., Heenen, P.-H., Bender, M., and Univ. Bordeaux, CENBG, UMR5797, F-33170 Gradignan. Sat .
"Finite-size instabilities in nuclear energy density functionals". United States. doi:10.1063/1.4764248.
```

```
@article{osti_22075615,
```

title = {Finite-size instabilities in nuclear energy density functionals},

author = {Hellemans, V. and Heenen, P.-H. and Bender, M. and Univ. Bordeaux, CENBG, UMR5797, F-33170 Gradignan},

abstractNote = {The systematic lack of convergence of self-consistent mean-field calculations with certain parameterizations of the Skyrme energy density functional has been attributed to the appearance of finite-size instabilities. In this contribution, we investigate what happens at the instability associated with the C{sub 0}{sup {Delta}s}s{sub 0} Dot-Operator {Delta}s{sub 0} term in a high-spin state of the superdeformed band in {sup 194}Hg.},

doi = {10.1063/1.4764248},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1491,

place = {United States},

year = {2012},

month = {10}

}

DOI: 10.1063/1.4764248

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