Test of the notch technique for determining the radial sensitivity of the optical model potential

TL;DR

This paper evaluates the notch technique's effectiveness in determining the radial sensitivity of the optical model potential using ideal data from the 16O+208Pb system, highlighting parameter sensitivities and experimental data requirements.

Contribution

The study systematically tests the notch technique's sensitivity to model parameters and experimental data, providing guidelines for accurate radial sensitivity determination.

Findings

Large reduced fraction and small perturbation width improve accuracy.

Minimal dependence on potential parameters for perturbation settings.

Extended measurements to lower cross sections reveal inner nuclear potential information.

Abstract

Detailed investigations on the notch technique are performed on the ideal data generated by the optical model potential parameters extracted from the 16O+208Pb system at the laboratory energy of 129.5 MeV, to study the sensitivities of this technique on the model parameters as well as the experimental data. It is found that, for the perturbation parameters, a sufficient large reduced fraction and an appropriate small perturbation width are necessary to determine the accurate radial sensitivity; while for the potential parameters, almost no dependence was observed. For the experimental measurements, the number of data points has little influence for the heavy target system, and the relative inner information of the nuclear potential can be derived when the measurement extended to a lower cross section.