<p>Nuclear <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1663_Article_IEq4.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\beta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-decay, a typical decay process for unstable nuclei, is a key mechanism for producing heavy elements in the Universe. In this study, neural networks were employed to predict <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1663_Article_IEq5.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\beta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-decay half-lives and, for the first time, to identify abnormal trends in nuclear <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1663_Article_IEq6.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\beta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-decay half-lives based on deviations between experimental values and the predictions of neural networks. Nuclei exhibiting anomalous increases, abrupt peaks, sharp decreases, abnormal odd-even oscillations, and excessively large experimental errors in their <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1663_Article_IEq7.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\beta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-decay half-lives, which deviate from systematic patterns, were identified through deviations. These anomalous phenomena may be associated with shell effects, shape coexistence, or discrepancies in the experimental data. The discovery and analysis of these abnormal nuclei provide a valuable reference for further investigations using sophisticated microscopic theories, potentially offering insights into new physics through studies of nuclear <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1663_Article_IEq8.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\beta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-decay half-lives.</p>

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Selection of abnormal trends in nuclear β-decay half-lives by neural network and exploration of the physical mechanisms

  • Peng Li,
  • Zhong-Ming Niu,
  • Yi-Fei Niu

摘要

Nuclear \(\beta\) β -decay, a typical decay process for unstable nuclei, is a key mechanism for producing heavy elements in the Universe. In this study, neural networks were employed to predict \(\beta\) β -decay half-lives and, for the first time, to identify abnormal trends in nuclear \(\beta\) β -decay half-lives based on deviations between experimental values and the predictions of neural networks. Nuclei exhibiting anomalous increases, abrupt peaks, sharp decreases, abnormal odd-even oscillations, and excessively large experimental errors in their \(\beta\) β -decay half-lives, which deviate from systematic patterns, were identified through deviations. These anomalous phenomena may be associated with shell effects, shape coexistence, or discrepancies in the experimental data. The discovery and analysis of these abnormal nuclei provide a valuable reference for further investigations using sophisticated microscopic theories, potentially offering insights into new physics through studies of nuclear \(\beta\) β -decay half-lives.