A Method of Improving the Formula of Binding Energyand Its Universal Revised Formula

ZHANG Gao-Long; JIA Wen-Bao; DAI Qiu-Sheng; YU Bo-Xiang; SU Tong-Ling

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2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(3) : 245-251

A Method of Improving the Formula of Binding Energyand Its Universal Revised Formula

Department of Modern Physics, Lanzhou University, Lanzhou 730000, China

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Abstract：
The action among nucleons is simplified as the bond of nuclear force from which the formula of volume energy and the formula of surface energy are inferred. And the two parameters are worked out by the binding energy of 21H, and then two parameters are reduced. The formula of binding energy is given by using both the experimental data and the theory value, which is obtained from the semi-rational formula and Zeng′s formula of binding energy. Then basing on this formula of binding energy, we get the D-value of odd-even mass of nuclei and β stable line. In correspondence with the empirical formula of β stable line, the value of parameter is modified, so the final formula of binding energy is obtained. The calculation values of new formula are good agreement with experimental data, especially for heavy nuclei, further supporting the utility of the formula to describe nuclear structure.

References

[1]

ZENG Jin-Yan. CHENG Tan-Sheng, YANG Fu-Jia. HEP NP, 1980, 4: 632(in Chinese)(曾谨言, 程檀生, 杨福家. 高能物理与核物理. 1980, 4: 632)2 YANG Fu-Jia, WANG Yan-Sheng. LU Fu-Quan. Nuclear Physics. Shanghai: Publisher of Fudan University, 1993 (in Chinese)(杨福家, 王炎生, 陆福全. 原子核物理上海: 复旦大学出版社, 1993年版)3 CHEN Chen-Jia. Handbook of Atom and Nuclear Physics. Beijing: Publisher of Beijing, 1993 (in Chinese)(陈辰嘉. 原子与原子核物理手册. 北京: 北京出版社, 1993年版)4 XU Si-Da. Nuclear Physics. Beijing: Publisher of Tsinghua University, 1992(in Chinese)(徐四大. 核物理学. 北京: 清华大学出版社, 1992年版)

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ZHANG Gao-Long, JIA Wen-Bao, DAI Qiu-Sheng, YU Bo-Xiang and SU Tong-Ling. A Method of Improving the Formula of Binding Energyand Its Universal Revised Formula[J]. Chinese Physics C, 2002, 26(3): 245-251.

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Received: 2001-04-03
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

A Method of Improving the Formula of Binding Energyand Its Universal Revised Formula

Corresponding author: ZHANG Gao-Long,

Department of Modern Physics, Lanzhou University, Lanzhou 730000, China

Received Date: 2001-04-03
Accepted Date: 1900-01-01
Available Online: 2002-03-05

Abstract: The action among nucleons is simplified as the bond of nuclear force from which the formula of volume energy and the formula of surface energy are inferred. And the two parameters are worked out by the binding energy of 21H, and then two parameters are reduced. The formula of binding energy is given by using both the experimental data and the theory value, which is obtained from the semi-rational formula and Zeng′s formula of binding energy. Then basing on this formula of binding energy, we get the D-value of odd-even mass of nuclei and β stable line. In correspondence with the empirical formula of β stable line, the value of parameter is modified, so the final formula of binding energy is obtained. The calculation values of new formula are good agreement with experimental data, especially for heavy nuclei, further supporting the utility of the formula to describe nuclear structure.