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.

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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
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article

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 A

Alexander L. Kholmetskii, Tolga Yarman, Nimet Zaim, Ozan Yarman
2 citations
International Journal of Modern Physics E
Muon and positron interactions and applications
1.73
article

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 A

Alexander L. Kholmetskii, Tolga Yarman, Nimet Zaim, Ozan Yarman
article en
2 citations

Abstract

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.

International Journal of Modern Physics EVol. 34(06)
Trakya University (TR), Belarusian State University (BY), Istanbul University (TR), Okan University (TR)
Affordable and clean energy
Openalex Percentile: Top 19%
Muon and positron interactions and applications
1.73
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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> — Alexander L. Kholmetskii, Tolga Yarman, et al. · International Journal of Modern Physics E (2025) | TGRS Research Map | TGRS