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Abstract

In this study, a new formula for single particle level density was found from experimental values of single particle level density using the curve fitting. This new formula was substituted in Ericson's formula which is used to calculate the partial level density in pre-equilibrium nuclear reactions and in the corrected formulas of William's formula, spin corrected formula and surface formula. The results for each formula were compared with the results for the same formula using single particle level density from the equidistant spacing model ESM. It was noticed that there is good agreement between the results of single particle level density from ESM and single particle level density from curve fitting especially at energies less than 20MeV. With increasing energy, the results of single particle level density from curve fitting become higher than the results of single particle level density from ESM. In one-component Ericson's formula the difference is clearer than in other formulas, in a spin correction the difference becomes less than one-component Ericson's and in case of two-components Ericson's correction, surface correction and Williams's correction the difference is so little that it is difficult to notice. The increase in level density of single particle level density from curve fitting is greater than the level density of single particle level density from ESM, reflecting the increase in level density with increasing energy, therefore, as it is shown the single particle level density from curve fitting is more accurate than single particle level density from equidistant spacing model ESM.

Keywords

Nuclear level density, Nuclear models, Nuclear reactions, pre-compound reactions, Pre-equilibrium region, Statistical models of nucleus

Subject Area

Physics

Article Type

Article

First Page

2300

Last Page

2306

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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