# Monte Carlo shell model calculations for medium-mass nuclei

## Abstract

The formulation and recent applications of the Monte Carlo shell model based upon the Quantum Monte Carlo diagonalization (QMCD) method are reported. The QMCD has been proposed for solving the quantum many-body interacting systems. By the Monte Carlo shell model calculations, the level structure of low-lying states can be studied with realistic interactions, providing a useful tool for nuclear spectroscopy. Some examples of such calculations are presented. We report that the doubly closed shell probability of a proton-rich unstable nucleus {sup 56}Ni is shown to be only 49% in a full pf shell calculation, in contrast to the corresponding probability of {sup 48}Ca which reaches 86%. The Monte Carlo shell model calculation based on the QMCD method is extended so that the structure of non-yrast states can be described as well as yrast states, and it is applied again to {sup 56}Ni but on an excited rotational band. This band is nicely described in a good agreement to recent experimental observation. Thus, the Monte Carlo shell model calculation is shown to be quite feasible for the spectroscopic study of nuclei. The Monte Carlo shell model is applied also to the study of unstable nuclei: the level scheme and E2 transitionmore »

- Authors:

- Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033 (Japan)
- (Japan)
- Center for Mathematical Sciences, University of Aizu, Tsuruga, Ikki-machi Aizu-Wakamatsu, Fukushima 965 (Japan)

- Publication Date:

- OSTI Identifier:
- 21208245

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 481; Journal Issue: 1; Conference: Nuclear structure 98 conference, Gatlinburg, TN (United States), 10-15 Aug 1998; Other Information: DOI: 10.1063/1.59527; (c) 1999 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; CALCIUM 48; E2-TRANSITIONS; EIGENFUNCTIONS; EIGENVALUES; MAGNESIUM 32; MANY-BODY PROBLEM; MONTE CARLO METHOD; NEUTRON-RICH ISOTOPES; NICKEL 56; NUCLEAR STRUCTURE; PROBABILITY; PROTONS; ROTATIONAL STATES; SHELL MODELS; SULFUR 49; YRAST STATES

### Citation Formats

```
Otsuka, Takaharu, RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198, Mizusaki, Takahiro, Utsuno, Yutaka, and Honma, Michio.
```*Monte Carlo shell model calculations for medium-mass nuclei*. United States: N. p., 1999.
Web. doi:10.1063/1.59527.

```
Otsuka, Takaharu, RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198, Mizusaki, Takahiro, Utsuno, Yutaka, & Honma, Michio.
```*Monte Carlo shell model calculations for medium-mass nuclei*. United States. doi:10.1063/1.59527.

```
Otsuka, Takaharu, RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198, Mizusaki, Takahiro, Utsuno, Yutaka, and Honma, Michio. Thu .
"Monte Carlo shell model calculations for medium-mass nuclei". United States. doi:10.1063/1.59527.
```

```
@article{osti_21208245,
```

title = {Monte Carlo shell model calculations for medium-mass nuclei},

author = {Otsuka, Takaharu and RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198 and Mizusaki, Takahiro and Utsuno, Yutaka and Honma, Michio},

abstractNote = {The formulation and recent applications of the Monte Carlo shell model based upon the Quantum Monte Carlo diagonalization (QMCD) method are reported. The QMCD has been proposed for solving the quantum many-body interacting systems. By the Monte Carlo shell model calculations, the level structure of low-lying states can be studied with realistic interactions, providing a useful tool for nuclear spectroscopy. Some examples of such calculations are presented. We report that the doubly closed shell probability of a proton-rich unstable nucleus {sup 56}Ni is shown to be only 49% in a full pf shell calculation, in contrast to the corresponding probability of {sup 48}Ca which reaches 86%. The Monte Carlo shell model calculation based on the QMCD method is extended so that the structure of non-yrast states can be described as well as yrast states, and it is applied again to {sup 56}Ni but on an excited rotational band. This band is nicely described in a good agreement to recent experimental observation. Thus, the Monte Carlo shell model calculation is shown to be quite feasible for the spectroscopic study of nuclei. The Monte Carlo shell model is applied also to the study of unstable nuclei: the level scheme and E2 transition probabilities of neutron-rich nuclei around {sup 32}Mg are discussed.},

doi = {10.1063/1.59527},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 481,

place = {United States},

year = {1999},

month = {9}

}