Generalizing the Liquid Drop Model (LDM) to Assess (Q_β^+-value) for Nuclei in the Range of 10≤Z≤98. | ||||
| Arab Journal of Nuclear Sciences and Applications | ||||
| Article 6, Volume 55, Issue 1, January 2022, Page 62-69 PDF (750.33 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/ajnsa.2021.75297.1471 | ||||
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| Authors | ||||
Firas Mohammed Ali Al-jomaily  1; Raghda Tareq Abdullateef2
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| 1Physics Department College of Science, Mosul University, Mosul, IRAQ. | ||||
| 2Physics Department ,Science College ,Mosul University | ||||
| Abstract | ||||
| In this research, a new formula of positive beta decay energy (Q_β^+-value) was obtained for light, medium and heavy nuclei (even – even, even – odd, odd – even and odd – odd) for the range of nuclei (10≤Z≤98). Instead of mass differences values, this formula is expressed in the form of nuclear binding energies. After multiple mathematical derivations, the decay energy is defined using the liquid drop model (LDM) to arrive at a final equation for the positive beta decay energy. The (Q_β^+-value) was calculated using four terms: the first term represents the symmetry energy with the opposite sign as in the liquid drop model, the second term represents the Coulomb repulsion energy, and the other two terms represent the pairing and constant (C) terms, where (C) is provided by the mass difference between the neutron and proton. In the investigation of our novel formula of (Q_β^+-value).The findings showed a good match between experimental and theoretical values, especially for heavy and medium nuclei, but a less match for light nuclei due to the presence of a magic numbers. In the investigation of our novel Q_β^+-value formula, the standard deviation (σ) was used to calculate the dependency of (LDM). | ||||
| Keywords | ||||
| : Q_β^+-value; Binding Energy; Liquid Drop Model; Beta Decay; Magic Number | ||||
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