Linearly increasing radius of the light fragment during the spontaneous fission of $^{282}$Cn

TL;DR

This paper investigates the deformation dynamics during spontaneous fission of superheavy and heavy nuclei, revealing a linearly increasing light fragment radius and evidence of cluster preformation near the nuclear surface.

Contribution

It provides detailed analysis of the deformation trajectory and introduces the concept of a linearly increasing light fragment radius during fission, supported by microscopic and macroscopic arguments.

Findings

Linearly increasing light fragment radius during fission.

Deep minimum of deformation energy near the surface indicating cluster preformation.

Similar deformation behaviors observed in different heavy nuclei.

Abstract

In a previous article published in Phys. Rev. C 94 (2016) 014309 we have shown for the first time that the best dynamical trajectory during the deformation toward fission of the superheavy nucleus $^{286}$Fl is a linearly increasing radius of the light fragment, $R_2$. This macroscopic-microscopic result reminds us about the $\alpha $ or cluster preformation at the nuclear surface, assumed already in 1928, and proved microscopically many times. This time we give more detailed arguments for the neighboring nucleus $^{282}$Cn. Also similar figures are presented for heavy nuclei $^{240}$Pu and $^{252}$Cf. The deep minimum of total deformation energy near the surface is shown for the first time as a strong argument for cluster preformation.