Modeling survival probabilities of superheavy nuclei at high excitation energies
Chun-Yuan Qiao, J. C. Pei
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 the Bohr-Wheeler statistical model and the imaginary free energy method, obtaining a new formula for fission rates. Various models are examined to reproduce the experimental fission probability of $^{210}\mathrm{Po}$. Systematic studies of fission and survival probabilities of No, Fl, Og, and $Z=120$ compound nuclei are performed. Results show that $Z=120$ compound nuclei still have considerable first-chance survival probabilities at high excitations, which are very similar to that of Fl and Og nuclei.