# Spreading widths of giant resonances in spherical nuclei: damped transient response

## TL;DR

This paper introduces a universal method to describe the spreading widths of giant resonances in spherical nuclei, utilizing random matrix theory and Skyrme interactions to analyze heavy and superheavy nuclei.

## Contribution

It presents a novel universal approach based on random matrix theory to accurately describe spreading widths of giant resonances in spherical nuclei.

## Key findings

- The approach successfully describes the gross structure of spreading widths.
- Application to doubly magic nuclei shows good agreement with expected resonance behavior.
- Uses Skyrme SLy4 interaction for realistic nuclear modeling.

## Abstract

We propose the universal approach to describe spreading widths of monopole, dipole and quadrupole giant resonances in heavy and superheavy spherical nuclei. Our approach is based on the ideas of the random matrix distribution of the coupling between one-phonon and two-phonon states generated in the random phase approximation. We use the Skyrme interaction SLy4 as our model Hamiltonian to create a single-particle spectrum and to analyze excited states of the doubly magic nuclei $^{132}$Sn, $^{208}$Pb and $^{310}$126. Our results demonstrate that the universal approach enables to describe gross structure of the spreading widths of the considered giant resonances.