Tentative probe into the nuclear charge radii of superheavy odd-mass and odd-odd nuclei

Abstract

The root-mean-square (rms) nuclear charge radii of superheavy odd-$A$ and odd-odd nuclei are tentatively pursued by the deduction of experimental $\ensuremath{\alpha}$ decay data. The framework of calculating $\ensuremath{\alpha}$ decay half-lives is constructed via the combination of the improved two-potential approach with the density-dependent cluster model. In this procedure, the charge distribution of daughter nuclei is determined to exactly reproduce the measured $\ensuremath{\alpha}$ decay half-lives. Next, the rms charge radius of daughter nuclei is obtained by using the corresponding charge distribution. For comparison, the previously proposed formula of our group is employed to estimate the rms charge radii as well. Besides the reasonable agreement between the extracted nuclear charge radii and the available experimental values, the nuclear radii of heaviest odd-$A$ and odd-odd nuclei are extracted from the $\ensuremath{\alpha}$ decay energies and half-lives. This can be considered as an effective attempt in terms of the nuclear size in the superheavy mass region.