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<p>In this study, the "hole" formalism is used to describe the tritium (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(^3\text {H}\)</EquationSource> </InlineEquation>) and helium (<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(^3\text {He}\)</EquationSource> </InlineEquation>) states, simplifying calculations of both the half-life and the log<i>&#xa0;ft</i> for tritium beta decay. Various central potentials are used to characterize the nuclear structure, including the truncated harmonic oscillator, the Woods-Saxon potential, and the Gaussian potential. The overlap integral of the initial and final wave functions for the proton and neutron holes is found to be approximately equal to unity. This indicates that tritium beta decay is insensitive to the choice of nucleon-nucleon potential.</p>

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Beta decay of \(^3\)H within the nucleon hole states framework

  • 期刊论文

  • 发表日期：

    2026年5月7日

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  • Bakhadir Irgaziev,
  • Javlonbek Khasanov

摘要

In this study, the "hole" formalism is used to describe the tritium ( \(^3\text {H}\) ) and helium ( \(^3\text {He}\) ) states, simplifying calculations of both the half-life and the log ft for tritium beta decay. Various central potentials are used to characterize the nuclear structure, including the truncated harmonic oscillator, the Woods-Saxon potential, and the Gaussian potential. The overlap integral of the initial and final wave functions for the proton and neutron holes is found to be approximately equal to unity. This indicates that tritium beta decay is insensitive to the choice of nucleon-nucleon potential.