Extended Optical Model Analyses of Elastic Scattering and Fusion Cross Section Data for the 9Be+28Si, 144Sm, and 208Pb Systems at Near-Coulomb-Barrier Energies using Double Folding Potential

TL;DR

This study employs an extended optical model with double folding potential to analyze elastic scattering and fusion data for specific nuclear systems near Coulomb barriers, revealing systematic repulsive DR potentials and dispersion relation compliance.

Contribution

It introduces a simultaneous analysis method decomposing polarization potentials into direct reaction and fusion parts, with findings consistent with CDCC calculations and dispersion relations.

Findings

DR potential is systematically repulsive across targets

Both DR and fusion potentials satisfy dispersion relations

Analysis aligns with CDCC results on polarization effects

Abstract

Based on the extended optical model with the double folding potential, in which the polarization potential is decomposed into direct reaction (DR) and fusion parts, simultaneous $\chi^{2}$ analyses are performed of elastic scattering and fusion cross section data for the $^{9}$Be+$^{28}$Si, $^{144}$Sm, and $^{208}$Pb systems at near-Coulomb-barrier energies. We find that the real part of the resultant DR part of the polarization potential is systematically repulsive for all the targets considered, which is consistent with the results deduced from the Continuum Discretized Coupled Channel (CDCC) calculations taking into account the polarization effects due to breakup. Further, it is found that both DR and fusion parts of the extracted polarization potentials satisfy the dispersion relation.