Towards microscopic studies of survival probabilities of compound superheavy nuclei

TL;DR

This paper develops a microscopic method using finite-temperature Skyrme-Hartree-Fock+BCS calculations to study the survival probabilities of superheavy nuclei, comparing it with traditional statistical models.

Contribution

It introduces a self-consistent microscopic framework for calculating fission and neutron emission rates in superheavy nuclei, incorporating temperature dependence.

Findings

Microscopic approach provides detailed fission rate calculations.

Comparison reveals significant uncertainties in existing models.

Survival probabilities can be estimated microscopically.

Abstract

The microscopic approach of fission rates and neutron emission rates in compound nuclei have been applied to $^{258}$No and $^{286}$Cn. The microscopic framework is based on the finite-temperature Skyrme-Hartree-Fock+BCS calculations, in which the fission barriers and mass parameters are self-consistently temperature dependent. The fission rates from low to high temperatures can be obtained based on the imaginary free energy method. The neutron emission rates are obtained with neutron gases at surfaces. Finally the survival probabilities of superheavy nuclei can be calculated microscopically. The microscopic approach has been compared with the widely used statistical models. Generally, there are still large uncertainties in descriptions of fission rates.