For sets of β+-decaying radioisotopes of the same element, the highest initial kinetic energy of the emitted positron falls off straightly with increasing atomic mass number <i>A</i>
Earlier, we had presented a systematization of [Formula: see text]-decaying nuclei, 1 where the interrelation between the decay half-life T and the highest initial kinetic energy [Formula: see text] of the positron at the instant it is emitted (if the neutrino energy is assumed to be zero) was transcribed through the formula [Formula: see text]. Herein, we reveal that the highest initial kinetic energy [Formula: see text] linearly decreases with respect to the increasing atomic mass number A for each of the given sets of [Formula: see text]-decaying radioisotopes of the same element. This, combined with the foregoing relationship, means a more stable [Formula: see text]-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 [Formula: see text] of the half-life versus the change [Formula: see text]A in the form of [Formula: see text]. Using this relationship, and putting aside possible anomalies, one can predict within an acceptable accuracy the half-lives of [Formula: see text]-decaying nuclei that could not be measured until now.
Authors
- Alexander L. Kholmetskii
- Tolga Yarman (ORCID: https://orcid.org/0000-0003-3209-2264)
- Nimet Zaim (ORCID: https://orcid.org/0000-0002-8527-606X)
- Ozan Yarman (ORCID: https://orcid.org/0000-0001-9002-3326)
Institutions
- Trakya University (TR)
- Belarusian State University (BY)
- Istanbul University (TR)
- Okan University (TR)
Publication Details
- Journal
- International Journal of Modern Physics E
- Published
- 2025-04-11
- DOI
- https://doi.org/10.1142/s0218301325500235
- Citations
- 2
- Primary Topic
- Muon and positron interactions and applications
- Type
- article
- Field-Weighted Citation Impact
- 1.73