Microscopic study of the isoscalar giant resonances in 208Pb induced by inelastic alpha scattering

TL;DR

This study uses a microscopic folding model to analyze isoscalar giant resonances in lead-208 induced by inelastic alpha scattering at energies of 240 and 386 MeV, comparing experimental data with RPA predictions.

Contribution

It applies a detailed microscopic folding model with RPA transition densities to interpret inelastic alpha scattering data on lead-208, providing insights into nuclear giant resonances.

Findings

Energy-weighted sum rule fractions around main peaks analyzed.

Comparison of experimental and RPA-predicted strength distributions.

Validation of the microscopic model against scattering data.

Abstract

The energetic beam of (spin and isospin zero) $\alpha$-particles remains a very efficient probe for the nuclear isoscalar giant resonances. In the present work, a microscopic folding model study of the isoscalar giant resonances in $^{208}$Pb induced by inelastic \aPb scattering at $E_{\rm lab}=240$ and 386 MeV has been performed using the (complex) CDM3Y6 interaction and nuclear transition densities given by both the collective model and Random Phase Approximation (RPA) approach. The fractions of energy weighted sum rule around the main peaks of the isoscalar monopole, dipole and quadrupole giant resonances were probed in the Distorted Wave Born Approximation analysis of inelastic \aPb scattering using the double-folded form factors given by different choices of the nuclear transition densities. The energy distribution of the $E0, E1$ and $E2$ strengths given by the multipole decomposition {analyses} of the \aap data under study are compared with those predicted by the RPA calculation.