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$^{146}$Nd is one of only four (over a total of 35 existing) 2$\beta^-$ decayisotope candidates whose half-lives currently lack experimental limits. The$\alpha$ activity of the $^{146}$Sm daughter nuclide allows placement of limitson the 2$\beta$ decay using the $^{146}$Nd/$^{142}$Nd abundance ratio($T^{\beta\beta}_{1/2} \gsim 3 \times 10^9$ yr) or direct search for $^{146}$Smwith accelerator mass spectrometers ($T^{\beta\beta}_{1/2} \gsim 4.5 \times10^{19}$ yr). With a similar approach, a modest ($\sim$ Gyr) first limit onhalf-lives for the other unexplored $2\beta$ unstable isotopes and competitivelimits (few $10^{13}$yr) for $^{98}$Mo and $^{122}$Sn are also given. Finally,it is shown how the limit $T^{0\nu\epsilon\beta^+}_{1/2} \gsim 10^{15}$ yr forthe unexplored $^{144}$Sm $0\nu\epsilon \beta^+$ decay may be obtained from thedata of a GSO crystal scintillator.

On $^{146}$Nd, $^{144}$Sm and other unexplored 2$\beta$ decay isotopes