1.  This thesis aimed to derive a new formula for the single-particle level density (g) using the curve-fitting method applied to experimental values of the level density parameter (a). Furthermore, it aimed to incorporate this derived g into one- and two-component Ericson formulas, as well as their corrected versions (Williams, pairing, and surface corrections), and to compare the resulting state densities with equidistant and non-equidistant spacing models to evaluate their agreement.”

The scientific value of this work lies in re-evaluating the applicability of Ericson’s formulas for calculating nuclear state densities through the introduction of the newly derived g. Integrating this formula with Williams’ corrected model—alongside pairing and surface corrections—effectively addresses physical factors neglected by standard equidistant and non-equidistant spacing models. This comprehensive integration enhances computational precision in predicting nuclear level densities, thereby strengthening its application in analyzing nuclear reaction mechanisms and compound nucleus models.”

1. The results summarized the performance of the single-particle level density parameter g from fitting  derived from curve fitting in comparison to conventional models  the partial level density (PLD) results showed exact agreement and full consistency between g from fitting  and g from ESM  across Ericson, Williams, Surface Effect, and Pairing Correction for two-component) formulae, whereas other pairing corrections  for one-component, as well as Types III and IV) yielded slightly higher values when using g from ESM. On the other hand, all formulae and corrections based on the non-equidistant spacing model g from non-ESM produced significantly higher PLD values compared to those calculated using g from fitting.

The researcher was awarded the grade of Excellent.