Using Thomas-Fermi Formula of Level Density Parameter to Find New Single Particle Level Density Formula

Autor: Hadeer K. Mohammed, Ali D. Salloum
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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