<p>The elastic scattering angular distributions of the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\alpha + {}^{232}\textrm{Th}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>α</mi> <mo>+</mo> <mmultiscripts> <mrow /> <mrow /> <mn>232</mn> </mmultiscripts> <mtext>Th</mtext> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\alpha + {}^{234,236,238}\textrm{U}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>α</mi> <mo>+</mo> <mmultiscripts> <mrow /> <mrow /> <mrow> <mn>234</mn> <mo>,</mo> <mn>236</mn> <mo>,</mo> <mn>238</mn> </mrow> </mmultiscripts> <mtext>U</mtext> </mrow> </math></EquationSource> </InlineEquation> reactions at 50&#xa0;MeV were analyzed using optical model potentials derived from both microscopic and semi-microscopic double-folding models. In the microscopic approach, both the real and imaginary components of the nuclear interaction potentials were obtained through folding model calculations employing three distinct effective nuclear interactions: the velocity-dependent São Paulo Potential version 2 (SPP2), the Brazilian Nuclear Potential (BNP), and the density-independent Michigan-3-Yukawa (M3Y) potential. In the semi-microscopic calculations, the folded potentials (SPP2, BNP, or M3Y) were used as the real component, while a Woods–Saxon potential was adopted for the imaginary part. The M3Y potential yielded the best agreement with experimental data across the different reactions. Nevertheless, BNP and SPP2 achieved competitive fits when adjusted with appropriate normalization factors. The radial sensitivity of the real potentials to the calculated elastic scattering angular distributions was further examined using the notch perturbation technique, highlighting the influence of radial variations. Overall, the theoretical results demonstrate strong agreement with experimental observations, validating the applicability of these potentials for modeling <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\alpha\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-nucleus interactions at low energies.</p>

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Microscopic and semi-microscopic optical model calculation of \(^4\)He elastic scattering cross sections on actinide targets

  • Joshua T. Majekodunmi,
  • Samuel A. Adeojo,
  • L. D. Christopher,
  • Geraldine Nneka Okoye,
  • Emmanuel J. Adoyi,
  • Sunday D. Olorunfunmi,
  • B. Mukeru

摘要

The elastic scattering angular distributions of the \(\alpha + {}^{232}\textrm{Th}\) α + 232 Th and \(\alpha + {}^{234,236,238}\textrm{U}\) α + 234 , 236 , 238 U reactions at 50 MeV were analyzed using optical model potentials derived from both microscopic and semi-microscopic double-folding models. In the microscopic approach, both the real and imaginary components of the nuclear interaction potentials were obtained through folding model calculations employing three distinct effective nuclear interactions: the velocity-dependent São Paulo Potential version 2 (SPP2), the Brazilian Nuclear Potential (BNP), and the density-independent Michigan-3-Yukawa (M3Y) potential. In the semi-microscopic calculations, the folded potentials (SPP2, BNP, or M3Y) were used as the real component, while a Woods–Saxon potential was adopted for the imaginary part. The M3Y potential yielded the best agreement with experimental data across the different reactions. Nevertheless, BNP and SPP2 achieved competitive fits when adjusted with appropriate normalization factors. The radial sensitivity of the real potentials to the calculated elastic scattering angular distributions was further examined using the notch perturbation technique, highlighting the influence of radial variations. Overall, the theoretical results demonstrate strong agreement with experimental observations, validating the applicability of these potentials for modeling \(\alpha\) α -nucleus interactions at low energies.