Abstract

The $\ensuremath{\alpha}$-decay chains of the isotopes $^{265\ensuremath{-}279}\mathrm{Mt}$ are predicted by comparing the $\ensuremath{\alpha}$ half-lives calculated within the Coulomb and proximity potential model for deformed nuclei of Santhosh et al. [Nucl. Phys. A 850, 34 (2011)] with the spontaneous fission half-lives using the shell-effect-dependent formula of Santhosh and Nithya [Phys. Rev. C 94, 054621 (2016)]. $\ensuremath{\alpha}$ half-lives also are calculated using different theoretical formalisms for comparison. The predicted half-lives and decay modes match well with the experimental results. The use of four different mass tables for calculating the $\ensuremath{\alpha}$- decay energies indicates that the mass table of Wang et al. [Chin. Phys. C 41, 030003 (2017)], which is based on the AME2016 atomic mass evaluation, is in better agreement with experimental results. The paper predicts long $\ensuremath{\alpha}$ chains from $^{265,267\ensuremath{-}269,271\ensuremath{-}273}\mathrm{Mt}$ with half-lives within experimental limits. The isotopes $^{274\ensuremath{-}276,278}\mathrm{Mt}$ exhibit 2\ensuremath{\alpha} chains followed by spontaneous fission. The 2\ensuremath{\alpha} chain of $^{266}\mathrm{Mt}$ and the 4\ensuremath{\alpha} chain of $^{270}\mathrm{Mt}$ end with electron capture. The isotopes $^{277,279}\mathrm{Mt}$ decay via spontaneous fission. We hope that the paper will open up new areas in this field.

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