# New model of binding energies of heavy nuclei with Z{>=}90

## Abstract

A new form of the binding energy formula of heavy nuclei with Z{>=}90 is proposed where new terms beyond the standard Bethe and Weizsaecker formula are introduced by analytical expressions. This can be considered an interesting development of the Bethe and Weizsaecker mass formula for heavy nuclei with Z{>=}90. Two versions of the formulae are presented. The first version of the formula can reproduce the 117 known binding energies of nuclei with Z{>=}90 and N{>=}140 with an average deviation 0.118 MeV. This is the first time that the binding energies of heavy nuclei with Z{>=}90 and N{>=}140 can be calculated very accurately by a formula with only seven parameters. The binding energies, {alpha}-decay energies, and {alpha}-decay half-lives of unknown superheavy nuclei are predicted. The second version of the formula is obtained by fitting the 181 data of nuclei with Z{>=}90 with nine parameters and good agreement with experimental binding energies is also reached for all nuclei with Z{>=}90.

- Authors:

- Department of Physics, Nanjing University, Nanjing 210008 (China)
- (China)

- Publication Date:

- OSTI Identifier:
- 20771107

- 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.72.064331; (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; ACTINIDE NUCLEI; ALPHA DECAY; BINDING ENERGY; HALF-LIFE; MASS FORMULAE; MEV RANGE; TRANSACTINIDE ELEMENTS; WEIZSAECKER FORMULA

### Citation Formats

```
Dong Tiekuang, Ren Zhongzhou, and Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000.
```*New model of binding energies of heavy nuclei with Z{>=}90*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevC.72.064331.

```
Dong Tiekuang, Ren Zhongzhou, & Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000.
```*New model of binding energies of heavy nuclei with Z{>=}90*. United States. doi:10.1103/PhysRevC.72.064331.

```
Dong Tiekuang, Ren Zhongzhou, and Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000. Thu .
"New model of binding energies of heavy nuclei with Z{>=}90". United States.
doi:10.1103/PhysRevC.72.064331.
```

```
@article{osti_20771107,
```

title = {New model of binding energies of heavy nuclei with Z{>=}90},

author = {Dong Tiekuang and Ren Zhongzhou and Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000},

abstractNote = {A new form of the binding energy formula of heavy nuclei with Z{>=}90 is proposed where new terms beyond the standard Bethe and Weizsaecker formula are introduced by analytical expressions. This can be considered an interesting development of the Bethe and Weizsaecker mass formula for heavy nuclei with Z{>=}90. Two versions of the formulae are presented. The first version of the formula can reproduce the 117 known binding energies of nuclei with Z{>=}90 and N{>=}140 with an average deviation 0.118 MeV. This is the first time that the binding energies of heavy nuclei with Z{>=}90 and N{>=}140 can be calculated very accurately by a formula with only seven parameters. The binding energies, {alpha}-decay energies, and {alpha}-decay half-lives of unknown superheavy nuclei are predicted. The second version of the formula is obtained by fitting the 181 data of nuclei with Z{>=}90 with nine parameters and good agreement with experimental binding energies is also reached for all nuclei with Z{>=}90.},

doi = {10.1103/PhysRevC.72.064331},

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}

}