# Stochastic approach to correlations beyond the mean field with the Skyrme interaction

## Abstract

Large-scale calculation based on the multi-configuration Skyrme density functional theory is performed for the light N=Z even-even nucleus, {sup 12}C. Stochastic procedures and the imaginary-time evolution are utilized to prepare many Slater determinants. Each state is projected on eigenstates of parity and angular momentum. Then, performing the configuration mixing calculation with the Skyrme Hamiltonian, we obtain low-lying energy-eigenstates and their explicit wave functions. The generated wave functions are completely free from any assumption and symmetry restriction. Excitation spectra and transition probabilities are well reproduced, not only for the ground-state band, but for negative-parity excited states and the Hoyle state.

- Authors:

- Institute of Physics, University of Tsukuba, Tsukuba, 305-8571 (Japan)
- (Japan) and Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8571 (Japan)
- (Japan)
- (Japan) and RIKEN Nishina Center, Wako-shi 351-0198 (Japan)

- Publication Date:

- OSTI Identifier:
- 22075611

- 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; CARBON 12; CONFIGURATION MIXING; DENSITY FUNCTIONAL METHOD; EIGENSTATES; EXCITATION; EXCITED STATES; GROUND STATES; HAMILTONIANS; MEAN-FIELD THEORY; NUCLEAR FORCES; NUCLEAR MATTER; NUCLEAR STRUCTURE; PARITY; SKYRME POTENTIAL; SLATER METHOD; STOCHASTIC PROCESSES; WAVE FUNCTIONS

### Citation Formats

```
Fukuoka, Y., Nakatsukasa, T., Funaki, Y., Yabana, K., RIKEN Nishina Center, Wako-shi 351-0198, RIKEN Nishina Center, Wako-shi 351-0198, and Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8571.
```*Stochastic approach to correlations beyond the mean field with the Skyrme interaction*. United States: N. p., 2012.
Web. doi:10.1063/1.4764243.

```
Fukuoka, Y., Nakatsukasa, T., Funaki, Y., Yabana, K., RIKEN Nishina Center, Wako-shi 351-0198, RIKEN Nishina Center, Wako-shi 351-0198, & Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8571.
```*Stochastic approach to correlations beyond the mean field with the Skyrme interaction*. United States. doi:10.1063/1.4764243.

```
Fukuoka, Y., Nakatsukasa, T., Funaki, Y., Yabana, K., RIKEN Nishina Center, Wako-shi 351-0198, RIKEN Nishina Center, Wako-shi 351-0198, and Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8571. Sat .
"Stochastic approach to correlations beyond the mean field with the Skyrme interaction". United States. doi:10.1063/1.4764243.
```

```
@article{osti_22075611,
```

title = {Stochastic approach to correlations beyond the mean field with the Skyrme interaction},

author = {Fukuoka, Y. and Nakatsukasa, T. and Funaki, Y. and Yabana, K. and RIKEN Nishina Center, Wako-shi 351-0198 and RIKEN Nishina Center, Wako-shi 351-0198 and Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8571},

abstractNote = {Large-scale calculation based on the multi-configuration Skyrme density functional theory is performed for the light N=Z even-even nucleus, {sup 12}C. Stochastic procedures and the imaginary-time evolution are utilized to prepare many Slater determinants. Each state is projected on eigenstates of parity and angular momentum. Then, performing the configuration mixing calculation with the Skyrme Hamiltonian, we obtain low-lying energy-eigenstates and their explicit wave functions. The generated wave functions are completely free from any assumption and symmetry restriction. Excitation spectra and transition probabilities are well reproduced, not only for the ground-state band, but for negative-parity excited states and the Hoyle state.},

doi = {10.1063/1.4764243},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1491,

place = {United States},

year = {2012},

month = {10}

}