Scaling of the giant dipole resonance widths in hot rotating nuclei from the ground state values

TL;DR

This paper investigates how the widths of the giant dipole resonance in hot, rotating nuclei depend on temperature, angular momentum, and mass, using a thermal shape fluctuation model to compare theoretical predictions with experimental data.

Contribution

It introduces a modified thermal shape fluctuation model to estimate ground state GDR widths from hot, rotating nuclei data, showing good agreement with experimental systematics.

Findings

Theoretical GDR widths match experimental values, being approximately 1.5 times smaller.

The model accurately reproduces the systematics of GDR widths across various nuclei.

Ground state GDR widths are systematically overestimated by experimental systematics.

Abstract

The systematics of the giant dipole resonance (GDR) widths in hot and rotating nuclei are studied in terms of temperature T, angular momentum J and mass A. The different experimental data in the temperature range of 1 - 2 MeV have been compared with the thermal shape fluctuation model (TSFM) in the liquid drop formalism using a modified approach to estimate the average values of T, J and A in the decay of the compound nucleus. The values of the ground state GDR widths have been extracted from the TSFM parametrization in the liquid drop limit for the corrected T, J and A for a given system and compared with the corresponding available systematics of the experimentally measured ground state GDR widths for a range of nuclei from A = 45 to 194. Amazingly, the nature of the theoretically extracted ground state GDR widths matches remarkably well, though 1.5 times smaller, with the experimentally measured ground state GDR widths consistently over a wide range of nuclei.