# Unified model of nuclear mass and level density formulas

## Abstract

Nuclear ground and excited state properties are described by using parameter systematics on mass and level density formulas. The formulas are based on an analytical expression of the single-particle state density by introducing the shell-pairing correlation in a new way. Main features are the shell, pairing, and deformation effects on the droplet model near the ground state, which are washed out at higher excitation energies. The main aim of the paper is to provide in the analytical framework the improved energy dependent shell, pairing, and deformation corrections generalized to the collective enhancement factors, which offer a systematic prescription over a great number of nuclear reactions. The new formulas are shown to be in close agreement with not only the empirical nuclear mass data but also the measured slow neutron resonance spacings and experimental systematics observed in the excitation energy dependent properties.

- Authors:

- Nishi-Turuma 8-5-15, Yamato-city, Kanagawa-ken 242-0005 (Japan)
- (Japan)

- Publication Date:

- OSTI Identifier:
- 20771105

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.72.064329; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CORRECTIONS; CORRELATIONS; DROPLET MODEL; ENERGY DEPENDENCE; ENERGY-LEVEL DENSITY; EXCITATION; EXCITED STATES; GROUND STATES; MASS; NUCLEAR DEFORMATION; NUCLEAR REACTIONS; RESONANCE; SINGLE-PARTICLE MODEL; SLOW NEUTRONS; UNIFIED MODEL

### Citation Formats

```
Nakamura, H., Fukahori, T., and Japan Atomic Energy Research Institute, Tokai-mura, Ibaragi-ken 319-1195.
```*Unified model of nuclear mass and level density formulas*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevC.72.064329.

```
Nakamura, H., Fukahori, T., & Japan Atomic Energy Research Institute, Tokai-mura, Ibaragi-ken 319-1195.
```*Unified model of nuclear mass and level density formulas*. United States. doi:10.1103/PhysRevC.72.064329.

```
Nakamura, H., Fukahori, T., and Japan Atomic Energy Research Institute, Tokai-mura, Ibaragi-ken 319-1195. Thu .
"Unified model of nuclear mass and level density formulas". United States.
doi:10.1103/PhysRevC.72.064329.
```

```
@article{osti_20771105,
```

title = {Unified model of nuclear mass and level density formulas},

author = {Nakamura, H. and Fukahori, T. and Japan Atomic Energy Research Institute, Tokai-mura, Ibaragi-ken 319-1195},

abstractNote = {Nuclear ground and excited state properties are described by using parameter systematics on mass and level density formulas. The formulas are based on an analytical expression of the single-particle state density by introducing the shell-pairing correlation in a new way. Main features are the shell, pairing, and deformation effects on the droplet model near the ground state, which are washed out at higher excitation energies. The main aim of the paper is to provide in the analytical framework the improved energy dependent shell, pairing, and deformation corrections generalized to the collective enhancement factors, which offer a systematic prescription over a great number of nuclear reactions. The new formulas are shown to be in close agreement with not only the empirical nuclear mass data but also the measured slow neutron resonance spacings and experimental systematics observed in the excitation energy dependent properties.},

doi = {10.1103/PhysRevC.72.064329},

journal = {Physical Review. C, Nuclear Physics},

number = 6,

volume = 72,

place = {United States},

year = {Thu Dec 15 00:00:00 EST 2005},

month = {Thu Dec 15 00:00:00 EST 2005}

}