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International Journal of Modern Physics E, vol.34, no.6, 2025 (SCI-Expanded)
Earlier, we had presented a systematization of β+-decaying nuclei,1 where the interrelation between the decay half-life T and the highest initial kinetic energy ε of the positron at the instant it is emitted (if the neutrino energy is assumed to be zero) was transcribed through the formula T∼(Formula presented). Herein, we reveal that the highest initial kinetic energy ε linearly decreases with respect to the increasing atomic mass number A for each of the given sets of β+-decaying radioisotopes of the same element. This, combined with the foregoing relationship, means a more stable β+-decaying nucleus, or the same, a longer decay half-life with respect to increasing A. All this, in turn, leads, as a first approximation, to an easily memorizable expression of the rate of change ΔT∕T of the half-life versus the change Δ A in the form of ΔT∕T∼ΔA. Using this relationship, and putting aside possible anomalies, one can predict within an acceptable accuracy the half-lives of β+-decaying nuclei that could not be measured until now.