Calculation of <i>α</i> Decay Half-Lives for Tl, Bi, and At Isotopes

Calculation of <i>α</i> Decay Half-Lives for Tl, Bi, and At Isotopes

We investigated the reaction Q-value (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>Q</mi><mi>α</mi></msub></semantics></math></inline-formula>) for th...

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Bibliographic Details
Main Authors:	Myeong-Hwan Mun, Kyoungsu Heo, Myung-Ki Cheoun
Format:	Article
Language:	English
Published:	MDPI AG 2025-04-01
Series:	Particles
Subjects:	deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc) α decay half-lives empirical formula
Online Access:	https://www.mdpi.com/2571-712X/8/2/42
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Summary:	We investigated the reaction Q-value (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>Q</mi><mi>α</mi></msub></semantics></math></inline-formula>) for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> decay of Tl, Bi, and At isotopes using the deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc) with the covariant density functional PC-PK1. The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> decay half-lives of Tl, Bi, and At isotopes are evaluated using various empirical formulas, based on both experimental <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>Q</mi><mi>α</mi></msub></semantics></math></inline-formula> and those obtained from DRHBc calculations. The calculated <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>Q</mi><mi>α</mi></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> decay half-lives are compared with experimental data. On the basis of these results, we also predicted the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> decay half-lives of isotopes for which experimental data are unavailable.
ISSN:	2571-712X