Theoretical predictions for the nucleus ${}^{296}118$

Theoretical predictions for the $\alpha$-decay chain of the nucleus ${}^{296}118$ are performed. The synthesis of this nucleus is being attempted in experiments running in Dubna. The $\alpha$-decay energies $Q_{\alpha }$, and the $\alpha$-decay and spontaneous-fission half-lives, $T_{\alpha }$ and $T_{\mathrm{sf}}$, are studied. The analysis of the $\alpha$ decay is based on a phenomenological model using only three parameters. The calculations are performed in nine variants using masses obtained within nine nuclear-mass models describing masses of the heaviest nuclei. The experimental $Q_{\alpha }$ energies, known from earlier experiments for the potential daughter, ${}^{292}\mathrm{Lv}$, and grand-daughter, ${}^{288}\mathrm{Fl}$, nuclei are reproduced with an average of the absolute values of the discrepancies: from 0.13 to 1.52 MeV within the considered variants. Measured half-lives $T_{\alpha }$ are reconstructed within average ratios: from 1.7 to 1054. Within all variants considered, the half-life $T_{\alpha }$ of the nucleus ${}^{296}118$ is obtained larger than needed (around $1 \mu \mathrm{s}$) for its observation.

Figure 1

$\alpha$-decay energy $Q_{\alpha }$ calculated within the models WS3+, WS4+, and HN, as compared with the experimental values available for the nuclei ${}^{292}\mathrm{Lv}$ and ${}^{288}\mathrm{Fl}$.

Figure 2

Logarithm of the $\alpha$-decay half-lives $T_{\alpha }$ (given in seconds) calculated with the use of WS3+, WS4+, and HN masses, as compared with the experimental values available for the nuclei ${}^{292}\mathrm{Lv}$ and ${}^{288}\mathrm{Fl}$.

Figure 3

Same as in Fig. 1, but for the nucleus ${}^{294}118$ [6].

Figure 4

Same as in Fig. 2, but for the nucleus ${}^{294}118$ [6].