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arXiv · 2309.00701

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

A. Rahmatinejad·T. M. Shneidman·G. G. Adamian·N. V. Antonenko·P. Jachimowicz·M. Kowal
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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.

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A. Rahmatinejad, T. M. Shneidman, G. G. Adamian, N. V. Antonenko, P. Jachimowicz, M. Kowal. 2023-09-01. Entropies, level-density parameters, and fission probabilities along the triaxially- and axially-symmetric fission paths in $^{296}$Lv. https://arxiv.org/abs/2309.00701

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