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<p>This work focuses to develop semi-empirical formulae for calculating (<i>n</i>,&#xa0;<i>t</i>) nuclear reaction induced by fast neutron at energy of 14-15 MeV. The emission of triton is a weak nuclear reaction, it is presented by an excitation function of micro barns, and we use pre-compound mechanism based on exciton model to describe it. Three fitting parameters at the formulae are proposed where the even-odd contribution is taken into consideration, 31 nuclei are investigated with mass number A <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(17 \le A \le 238\)</EquationSource> </InlineEquation>. Compared to previous studies, low values of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\chi ^{2}\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\Sigma\)</EquationSource> </InlineEquation> are obtained, achieving 0.91 and 16.53 respectively, for even A nuclei, 1.57 and 10.98 respectively, for odd A nuclei. These formulae reproach more calculated cross sections from experiment data and predict the unmeasured ones. This work improves that, in addition to the equilibrium model, the pre-equilibrium model is useful in weak nuclear reaction description.</p>

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Semi-Empirical Formulae for Triton Emission at 14-15 MeV Neutrons

  • 期刊论文

  • 发表日期：

    2026年1月3日

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  • Asma Ghezal,
  • Samra Nehaoua,
  • Nouri Benaidja

摘要

This work focuses to develop semi-empirical formulae for calculating (n, t) nuclear reaction induced by fast neutron at energy of 14-15 MeV. The emission of triton is a weak nuclear reaction, it is presented by an excitation function of micro barns, and we use pre-compound mechanism based on exciton model to describe it. Three fitting parameters at the formulae are proposed where the even-odd contribution is taken into consideration, 31 nuclei are investigated with mass number A \(17 \le A \le 238\) . Compared to previous studies, low values of \(\chi ^{2}\) and \(\Sigma\) are obtained, achieving 0.91 and 16.53 respectively, for even A nuclei, 1.57 and 10.98 respectively, for odd A nuclei. These formulae reproach more calculated cross sections from experiment data and predict the unmeasured ones. This work improves that, in addition to the equilibrium model, the pre-equilibrium model is useful in weak nuclear reaction description.