Entropies, level-density parameters, and fission probabilities along the triaxially- and axially-symmetric fission paths in $^{296}$Lv

TL;DR

This paper investigates how axial asymmetry affects nuclear level density, entropy, and fission probabilities in superheavy nucleus $^{296}$Lv, highlighting the importance of triaxiality and shell effects in fission dynamics.

Contribution

It introduces a detailed statistical analysis of deformation-dependent level density parameters and fission probabilities considering triaxial and axial pathways in superheavy nuclei.

Findings

Triaxiality significantly influences entropy along fission paths.

Shell effects suppression can change fission scenarios at different excitation energies.

Deformation-dependent level density parameters are crucial for estimating survival probabilities.

Abstract

We employ a statistical approach to investigate the influence of axial asymmetry on the nuclear level density and entropy along the fission pathways of a superheavy nucleus, explicitly focusing on the $^{296}$Lv isotope. These pathways are determined within multidimensional deformation spaces. Our analysis reveals a significant impact of triaxiality on entropy. Additionally, suppressing shell effects can alter the fission scenario depending on the available excitation energy. We derive the deformation-dependent level density parameter, which plays a crucial role in estimating the survival probability of a superheavy nucleus. Furthermore, we utilize a set of master equations to obtain the time-dependent fission probabilities and calculate the ratio of decay probabilities for both axial and triaxial paths.