Synthesis and decay properties of isotopes of element 110: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Ds</mml:mi><mml:mprescripts/><mml:none/><mml:mn>273</mml:mn></mml:mmultiscripts></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Ds</mml:mi><mml:mprescripts/><mml:none/><mml:mn>275</mml:mn></mml:mmultiscripts></mml:math>

The $^{232}\mathrm{Th}$($^{48}\mathrm{Ca},5n$)$^{275}\mathrm{Ds}$ and $^{238}\mathrm{U}$($^{40}\mathrm{Ar},5n$)$^{273}\mathrm{Ds}$ reactions have been studied at the gas-filled separator DGFRS-2 at the Superheavy Element Factory at Flerov Laboratory of Nuclear Reactions, Joint Institute for Nuclear Research. For the first time, a new isotope $^{275}\mathrm{Ds}$ with a half-life of $0.{43}_{\ensuremath{-}0.12}^{+0.29}$ ms and \ensuremath{\alpha}-particle energy of $11.20\ifmmode\pm\else\textpm\fi{}0.02$ MeV was synthesized in the $^{48}\mathrm{Ca}$-induced reaction with the actinide nucleus and identified by measuring correlated \ensuremath{\alpha} decays ending in known nuclei. The decay properties of nuclei originating from $^{273}\mathrm{Ds}$ and $^{275}\mathrm{Ds}$ are compared with theoretical calculations and decay schemes are proposed. The cross sections of the $^{232}\mathrm{Th}$($^{48}\mathrm{Ca},5n$)$^{275}\mathrm{Ds}$ reaction of $0.{11}_{\ensuremath{-}0.09}^{+0.46}$ and $0.{34}_{\ensuremath{-}0.16}^{+0.59}$ pb were measured at excitation energies of the $^{280}\mathrm{Ds}$ compound nucleus ${E}^{*}=51$ and 56 MeV, respectively. The cross section of the $5n$-evaporation channel of the $^{238}\mathrm{U}+^{40}\mathrm{Ar}$ reaction at ${E}^{*}=49$ MeV of $0.{18}_{\ensuremath{-}0.12}^{+0.44}$ pb turned out to be comparable to that for $^{275}\mathrm{Ds}$ at close excitation energy.

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