Stability of superheavy nuclei produced in actinide-based complete fusion reactions: Evidence for the next magic proton number at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Z</mml:mi><mml:mo>⩾</mml:mo><mml:mn>120</mml:mn></mml:mrow></mml:math>

Abstract

Using the experimental evaporation residue cross sections in the $^{48}\mathrm{Ca}$-induced complete fusion reactions and the complete fusion cross sections calculated within the dinuclear system model, the survival probabilities of superheavy nuclei with charge numbers $Z=112\text{\ensuremath{-}}116$ and 118 in the $\mathit{xn}$-evaporation channels are extracted. The effects of angular momentum and deformations of colliding nuclei are taken into account. The obtained dependence of the survival probability on $Z$ indicates the next doubly magic nucleus beyond $^{208}\mathrm{Pb}$ at $Z\ensuremath{\geqslant}120$.

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DOI

10.1103/physrevc.79.054608

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