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A microscopically derived formula for alpha-decay half-lives

2016/12/13 by Swagatika Bhoi, Bhoi, Swagatika, Basudeb Sahu +1
Earth and Planetary Sciences · Physics and Astronomy · #Earth Systems and Cosmic Evolution #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #nucl-th

paper · pdf · doi:10.48550/arxiv.1612.04140

arxiv created 2016/12/13 · openalex publication_date 2016/12/13 · arxiv updated 2016/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Although Geiger-Nuttall (GN) law gives a single straight line, if we consider the experimental data of alpha particle emitters including heavy and super heavy nuclei with proton numbers as large as 118, instead of getting a single linear path we observe several linear segments with different slopes and intercepts. This problem is overcome when the experimental results in logarithm form are plotted as a function of Viola-Seaborg (VS) parameters with values of parameters set by hand. By using the fundamental principle of decay, we derive a formula of logarithm of half-lives in terms of well-defined parameters or coefficients and this replaces the empirical VS rule.

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