C12emission fromBa114and nuclear properties

We investigate the influence of nuclear masses, radii, and interaction potentials on ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ radioactivity of ${}_{}{}^{114}{}_{}{}^{}\mathrm{the}$ best representative of a new island of cluster emitters leading to daughter nuclei around the doubly magic ${}_{}{}^{100}{}_{}{}^{}\mathrm{Sn}$. Three different models are considered: one derived by Blendowske, Fliessbach, and Walliser (BFW) from the many-body theory of α decay, as well as our analytical (ASAF) and numerical (NuSAF) superasymmetric fission models. A Q value larger by 1 MeV or an ASAF potential barrier reduced by 3% are producing a half-life shorter by 2 orders of magnitude. A similar effect can be obtained within BFW and NuSAF by a decrease of the action integral with less than 10% and 5%, respectively. By increasing the radius constant within ASAF or BFW models by 10%, the half-life becomes shorter by 3 orders of magnitude.