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

Hadeer K. Mohammed; Ali D. Salloum

doi:10.30526/37.4.3455

Authors

Hadeer K. Mohammed Department of Physics, College of Sciences for Women, University of Baghdad, Baghdad, Iraq. https://orcid.org/0000-0001-6691-3847
Ali D. Salloum Department of Physics, College of Sciences for Women, University of Baghdad, Baghdad, Iraq. https://orcid.org/0000-0002-1253-5171

DOI:

https://doi.org/10.30526/37.4.3455

Keywords:

Keywords: Exaction model, Induced nuclear reaction, Level density, Pre-compound nucleus, Pre-equilibrium reactions.

Abstract

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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