Modeling survival probabilities of superheavy nuclei at high excitations

TL;DR

This paper models the survival probabilities of highly excited superheavy nuclei using temperature-dependent fission barriers, providing new formulas and systematic comparisons with experimental data.

Contribution

It introduces a microscopic temperature-dependent approach to calculate fission rates and systematically compares survival probabilities across superheavy nuclei.

Findings

Fission rate formula derived from Bohr-Wheeler and imaginary free energy methods.

Model reproduces experimental fission probability of $^{210}$Po.

Survival probabilities of $Z$=120 are comparable to Fl and Og.

Abstract

This work investigated the first-chance survival probabilities of highly excited compound superheavy nuclei in the prospect of synthesizing new superheavy elements. The main feature of our modelings is the adoption of microscopic temperature dependent fission barriers in calculations of fission rates. A simple derivation is demonstrated to elucidate the connection between Bohr-Wheeler statistical model and imaginary free energy method, obtaining a new formula for fission rates. The best modeling is chosen with respect to reproducing the experimental fission probability of $^{210}$Po. Systematic studies of fission and survival probabilities of No, Fl, Og, and $Z$=120 compound nuclei are performed. Results show large discrepancies by different models for survival probabilities of superheavy nuclei although they are close for $^{210}$Po. We see that the first-chance survival probabilities of $Z$=120 are comparable to that of Fl and Og.