Effect of the doubly magic shell closures in Sn132 and Pb208 on the mass distributions of fission fragments of superheavy nuclei

In this Rapid Communication, we try to settle down the controversial predictions on the effect of doubly magic nuclei $^{132}\mathrm{Sn}$ and $^{208}\mathrm{Pb}$ on the mass distributions of fission fragments of superheavy nuclei. For this, we have calculated the mass distribution of fission fragments of superheavy nuclei from $^{274}\mathrm{Hs}$ to $^{306}122$ within the dynamical four-dimensional Langevin approach. We have found that, in ``light'' superheavies, the influence of $^{208}\mathrm{Pb}$ on the mass distributions is negligibly small. In ``heavy'' superheavies, $Z=120--122$, the (quasi)symmetric peaks and strongly asymmetric peaks at fragment mass ${A}_{F}$ close to ${A}_{F}=208$ are of comparable magnitude to ${A}_{F}=132--140$.