Isovector energy-weighted sums for hot nuclei in presence of relaxation processes

TL;DR

This paper studies the isovector collective response and energy-weighted sums in hot nuclei, incorporating temperature and relaxation effects, and compares theoretical predictions with experimental data.

Contribution

It introduces a collisional kinetic theory approach to analyze the isovector sums considering relaxation and temperature effects, linking sound modes to surface vibrations.

Findings

The A-dependence of the enhancement factor matches experimental data.

The enhancement factor for m_1 is only slightly affected by temperature.

The approach effectively describes the collective response in hot nuclei.

Abstract

We investigate the collective response function and the energy-weighted sums m_k for isovector mode in hot nuclei. The approach is based on the collisional kinetic theory and takes into consideration the temperature and the relaxation effects. Taking into account a connection between the isovector sound mode and the corresponding surface vibrations we have established the A-dependence of the enhancement factor for the isovector sum rule in a good agreement with experimental data. We have shown that the enhancement factor for the "model independent" sum m_1 is only slightly sensitive to the temperature change.