Theoretical predictions of nuclear binding energy using a semi-empirical mass formula (SEMF): Five terms of SEMF–5T | ||||
| Bulletin of Faculty of Science, Zagazig University | ||||
| Article 40, Volume 2025, Issue 1, April 2025, Page 66-75 PDF (2.32 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/bfszu.2024.291543.1404 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Abdallah Saad1; Zeyad Ibrahim Elghobary   2; mahmoud Taha3
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| 1physics, Faculty of science, Zagazig university | ||||
| 2Physics Department, Faculty of Science, Zagazig University | ||||
| 3Mathematics and Theoretical Physics Department, Nuclear Research Centre, Egyptian Atomic Energy Authority, B.O. 13759, Cairo, Egypt | ||||
| Abstract | ||||
| This study utilizes the semi-empirical mass formula with five terms (SEMF-5T), grounded in the liquid drop model (LDM), to calculate nuclear binding energies for nuclei far from the stability line. The focus spans three mass regions: light elements (Z = 20-23, A = 39-60), heavy elements (Z = 78-93, A = 199-219), and superheavy elements (Z = 87-110, A = 230-270). Our results demonstrate high accuracy and reliability, with acceptable uncertainties when compared to experimental data and existing models. We derive the coefficients for the mass formula through a least squares fitting procedure, using a dataset of 246 stable and unstable nuclides. These coefficients allow for precise predictions of nuclear binding energies in the specified regions. To validate our findings, we compare our predicted binding energies with experimental measurements and the finite-range droplet model (FRDM), a well-regarded model in the field. Our calculations show strong agreement with both experimental data and the FRDM model, underscoring the prediction accuracy of the mass formula. Thus, the liquid drop model proves to be a reliable and precise tool for determining binding energies across the studied mass regions. | ||||
| Keywords | ||||
| Semi-empirical mass formula-five terms (SEMF–5T); Liquid drop model (LDM); Nuclear binding energy; Nuclear masses | ||||
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