A systematic description of evaporation spectra for light and heavy compound nuclei

TL;DR

This paper develops a comprehensive statistical model to accurately describe evaporation spectra across light and heavy compound nuclei by incorporating barrier fluctuations, energy-dependent level densities, and angular momentum effects.

Contribution

It introduces a systematic approach that accounts for Coulomb barrier distributions, excitation-energy dependent level-density parameters, and modified rotational energies, improving spectral predictions.

Findings

Barrier distributions improve spectral fits.

Level-density parameter decreases at high excitation energies.

Adjusted rotational energies better match observed spectra.

Abstract

To systematically describe evaporation spectra for light and heavy compound nuclei over a large range of excitation energies, it was necessary to consider three ingredients in the statistical model. Firstly, transmission coefficients or barrier penetration factors for charged-particle emission are typically taken from global fits to elastic-scattering data. However, such transmission coefficients do not reproduce the barrier region of evaporation spectra and reproduction of the data requires a distributions of Coulomb barriers. This is possibly associated with large fluctuations in the compound-nucleus shape or density profile. Secondly for heavy nuclei, an excitation-energy dependent level-density parameter is required to describe the slope of the exponential tails of these spectra. The level-density parameter was reduced at larger temperatures, consistent with the expected fadeout of long-range correlation, but the strong $A$ dependence of this effect is unexpected. Lastly to describe the angular-momentum dependence of the level density in light nuclei at large spins, the macroscopic rotational energy of the nucleus has to be reduced from the values predicted with the Finite-Range Liquid-Drop model.