Investigating α decays of recently discovered heavy and superheavy nuclei within the improved density-dependent cluster model

Recently, Oganessian et al. successfully synthesized the new superheavy isotope $^{275}\mathrm{Ds}$ through a $^{48}\mathrm{Ca}$-induced reaction with a $^{232}\mathrm{Th}$ target [Oganessian et al., Phys. Rev. C 109, 054307 (2024)]. Several other newly synthesized heavy and superheavy nuclides have also been reported in various works. Despite these experimental advancements, theoretical studies into the $\ensuremath{\alpha}$-decay properties of these newly discovered nuclides remain limited and insufficiently explored. In this study, we conduct an investigation on the newly reported or updated $\ensuremath{\alpha}$-decay data from recent experiments, focusing on the heavy neutron-deficient nuclei and superheavy nuclei. Utilizing an improved density-dependent cluster model ($\mathrm{DDCM}+$) of our recent work [Wang et al., Phys. Rev. C 105, 024327 (2022)], most of these experimental $\ensuremath{\alpha}$-decay half-lives are well reproduced with an average factor of approximately 2, which indicate that the $\mathrm{DDCM}+$ model remains robust and reliable across these newly explored mass regions. Notably, based on the theoretical results given by $\mathrm{DDCM}+$, we propose the possible $\ensuremath{\alpha}$-decay schemes for the newly observed $^{273}\mathrm{Ds}$ and $^{275}\mathrm{Ds}$ decay chains, incorporating minor modifications to the previously suggested schemes proposed by Oganessian et al. These theoretical results are expected to serve as valuable references for future experimental studies, contributing to a deeper understanding of the $\ensuremath{\alpha}$-decay properties and nuclear structures in heavy and superheavy nuclei.