Using Thomas-Fermi Formula of Level Density Parameter to Find New Single Particle Level Density Formula
Autor: | Hadeer K. Mohammed, Ali D. Salloum |
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Jazyk: | angličtina |
Rok vydání: | 2024 |
Předmět: | |
Zdroj: | Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 37, Iss 4 (2024) |
Druh dokumentu: | article |
ISSN: | 1609-4042 2521-3407 |
DOI: | 10.30526/37.4.3455 |
Popis: | The level density is a parameter that has great importance in the theoretical nuclear calculation, and it is considered a key of many theoretical studies, therefore, the level density in pre-equilibrium reaction or what is the so-called accurate partial level density PLD has been studied. The partial level density PLD used in pre-equilibrium reactions is dependent on the parameter called single particle level density which can be calculated by two methods either using the equidistant spacing model (ESM) or non-equidistant spacing model (non-ESM) In this study, the parameter is estimated by using the relation between the level density parameter and based on Ericson and Williams's formulas ( ) is substituted from the Thomas-Fermi formula and the new was substituted one-component Ericson's formula, two-components Ericson's formula, Williams's formula, spin formula, and surface formula. The results show that the PLD estimated from one-component Ericson's formula gives the best agreement with the experimental data between 4 MeV to 5 MeV. |
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