# Parity Dependence of Nuclear Level Densities

## Abstract

A simple formula for the ratio of the number of odd- and even-parity states as a function of temperature is derived. This formula is used to calculate the ratio of level densities of opposite parities as a function of excitation energy. We test the formula with quantum Monte Carlo shell model calculations in the (pf+g{sub 9/2}) shell. The formula describes well the transition from low excitation energies where a single parity dominates to high excitations where the two densities are equal. (c) 2000 The American Physical Society.

- Authors:

- Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520 (United States)
- Institute for Nuclear Theory and Department of Physics, University of Washington, Seattle, Washington 98195 (United States)
- Department of Physics, Chiba University, Inage, Chiba 263-8522, (Japan)

- Publication Date:

- OSTI Identifier:
- 20216434

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 19; Other Information: PBD: 8 May 2000; Journal ID: ISSN 0031-9007

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEAR PROPERTIES; PARITY; ENERGY LEVELS; MONTE CARLO METHOD; SHELL MODELS; TEMPERATURE DEPENDENCE; THEORETICAL DATA

### Citation Formats

```
Alhassid, Y., Bertsch, G. F., Liu, S., and Nakada, H.
```*Parity Dependence of Nuclear Level Densities*. United States: N. p., 2000.
Web. doi:10.1103/PhysRevLett.84.4313.

```
Alhassid, Y., Bertsch, G. F., Liu, S., & Nakada, H.
```*Parity Dependence of Nuclear Level Densities*. United States. doi:10.1103/PhysRevLett.84.4313.

```
Alhassid, Y., Bertsch, G. F., Liu, S., and Nakada, H. Mon .
"Parity Dependence of Nuclear Level Densities". United States. doi:10.1103/PhysRevLett.84.4313.
```

```
@article{osti_20216434,
```

title = {Parity Dependence of Nuclear Level Densities},

author = {Alhassid, Y. and Bertsch, G. F. and Liu, S. and Nakada, H.},

abstractNote = {A simple formula for the ratio of the number of odd- and even-parity states as a function of temperature is derived. This formula is used to calculate the ratio of level densities of opposite parities as a function of excitation energy. We test the formula with quantum Monte Carlo shell model calculations in the (pf+g{sub 9/2}) shell. The formula describes well the transition from low excitation energies where a single parity dominates to high excitations where the two densities are equal. (c) 2000 The American Physical Society.},

doi = {10.1103/PhysRevLett.84.4313},

journal = {Physical Review Letters},

issn = {0031-9007},

number = 19,

volume = 84,

place = {United States},

year = {2000},

month = {5}

}

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