# Ignatyuk damping factor: A semiclassical formula

## TL;DR

This paper calculates the Ignatyuk damping factor for various nuclei using semiclassical methods, providing a parameterization that accounts for shell effects without adjustable parameters, aligning well with experimental data.

## Contribution

The work introduces a semiclassical approach to determine the Ignatyuk damping factor, eliminating the need for experimental fitting and improving theoretical understanding of nuclear level densities.

## Key findings

- Calculated damping factors for multiple nuclei.
- Good agreement with experimental data.
- Parameterization includes shell effects without adjustable parameters.

## Abstract

Data on nuclear level densities extracted from transmission data or gamma energy spectrum store the basic statistical information about nuclei at various temperatures. Generally this extracted data goes through model fitting using computer codes like CASCADE. However, recently established semiclassical methods involving no adjustable parameters to determine the level density parameter for magic and semi-magic nuclei give a good agreement with the experimental values. One of the popular ways to paramaterize the level density parameter which includes the shell effects and its damping was given by Ignatyuk. This damping factor is usually fitted from the experimental data on nuclear level density and it comes around 0.05 $MeV^{-1}$. In this work we calculate the Ignatyuk damping factor for various nuclei using semiclassical methods.