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<p>The elastic scattering of ³²S + ⁴⁰Ca has been analyzed at laboratory energies from 90 to 151&#xa0;MeV using the double-folding model with five different M3Y-Reid-based effective interactions: the density-independent M3Y-ZR, the density-dependent zero range DDM3Y-ZR, the density- dependent finite range (DDM3Y-FR and CDM3Y6-FR), and the explicit Pauli-correlated M3Y-P interaction. The resulted angular distribution cross sections successfully reproduced the experimental data over the full energy range. The extracted optical model parameters show that the real volume integrals exhibits weak energy dependence, while the imaginary volume integral and reaction cross section increase smoothly with energy. The calculations of the dispersion-relation show a moderate dispersive contribution to the real volume integral, consistent with a weak threshold anomaly behavior. The results constitute clear microscopic evidence that Pauli blocking in the knock-on exchange term is a key mechanism stabilizing the real potential in heavy-ion scattering with subdued dynamic polarization effects.</p>

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Systematic Microscopic Analysis of ³²S + ⁴⁰Ca Scattering: Role of Pauli Correlations and Dispersion Relations

  • 期刊论文

  • 发表日期：

    2026年4月27日

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  • A. Hemmdan,
  • M. A. Hassanain

摘要

The elastic scattering of ³²S + ⁴⁰Ca has been analyzed at laboratory energies from 90 to 151 MeV using the double-folding model with five different M3Y-Reid-based effective interactions: the density-independent M3Y-ZR, the density-dependent zero range DDM3Y-ZR, the density- dependent finite range (DDM3Y-FR and CDM3Y6-FR), and the explicit Pauli-correlated M3Y-P interaction. The resulted angular distribution cross sections successfully reproduced the experimental data over the full energy range. The extracted optical model parameters show that the real volume integrals exhibits weak energy dependence, while the imaginary volume integral and reaction cross section increase smoothly with energy. The calculations of the dispersion-relation show a moderate dispersive contribution to the real volume integral, consistent with a weak threshold anomaly behavior. The results constitute clear microscopic evidence that Pauli blocking in the knock-on exchange term is a key mechanism stabilizing the real potential in heavy-ion scattering with subdued dynamic polarization effects.