Exploring $\alpha$ decay properties in the superheavy region through the double-folding formalism and Skyrme interactions

In this study, $\alpha$ decay properties of yet unknown nuclei are investigated through the systematic behavior of the parameters of $\alpha$-nucleus double-folding (DF) potentials. To calculate DF potentials, the density distributions of the protons and neutrons are being employed by use of the self-consistent Hartree-Fock-Bogoliubov (HFB) calculations based on the SLy4 Skyrme interaction widely used for the $\alpha$-emitter systems and the superheavy region. In addition, a new set of effective Skyrme force parameters is presented so that more precise estimations, labeled OMGA, are optimized to describe the ground-state properties of superheavy nuclei with $82\le Z\le 120$. Consequently, a good mass fit and half-lives are thus obtained by the optimized Skyrme force with more consistency with experimental data.

Figure 1

(a) The deviations of calculated binding energies obtained by SLy4 and OMGA from their corresponding experimental values. (b) The deviations of calculated rms charge radii obtained by SLy4 and OMGA from their corresponding semi-empirical values.

Figure 2

Calculated total potentials within different nucleon density distributions corresponding to the SLy4 and OMGA Skyrme forces, typically for the nucleus ${}^{294}\mathrm{Og}$. The classical turning points are presented schematically. For $0^{+}\to 0^{+}s$-wave decay the inner turning point is at $R_1=0$.

Figure 3

(a) Values of the $\lambda$ parameters for decay chains ${}^{296}118\to {}^{284}\mathrm{Cn}$ and ${}^{298}120\to {}^{282}\mathrm{Cn}$. (b) Volume integrals for these decay chains.

Figure 4

(a) Values of the $\lambda$ parameters for decay chains ${}^{274}112\to {}^{214}\mathrm{Pb}$ and ${}^{268}110\to {}^{212}\mathrm{Pb}$ from SLy4 force. (b) Corresponding $\lambda$ parameters for mentioned decay chains obtained by OMGA force.

Figure 5

(a) Values of the volume integrals for decay chains${}^{274}112\to {}^{214}\mathrm{Pb}$ and ${}^{268}110\to {}^{212}\mathrm{Pb}$ from SLy4 force. (b) Corresponding volume integrals for mentioned decay chains obtained by OMGA force.