Study of $^{6}$He+$^{12}$C Elastic Scattering Using a Microscopic Optical Potential

TL;DR

This study investigates $^{6}$He+$^{12}$C elastic scattering at various energies using microscopic optical potentials derived from a double-folding method and high-energy approximation, analyzing the effects of nuclear densities and Pauli blocking.

Contribution

It introduces a comprehensive analysis of elastic scattering with microscopic optical potentials, addressing potential ambiguities and incorporating Pauli blocking effects.

Findings

Volume optical potentials fit low-energy data well.

Additional surface terms improve high-energy fits.

Pauli blocking effects influence cross section estimations.

Abstract

The $^6$He+$^{12}$C elastic scattering data at beam energies of 3, 38.3 and 41.6 MeV/nucleon are studied utilizing the microscopic optical potentials obtained by a double-folding procedure and also by using those inherent in the high-energy approximation. The calculated optical potentials are based on the neutron and proton density distributions of colliding nuclei established in an appropriate model for $^6$He and obtained from the electron scattering form factors for $^{12}$C. The depths of the real and imaginary parts of the microscopic optical potentials are considered as fitting parameters. At low energy the volume optical potentials reproduce sufficiently well the experimental data. At higher energies, generally, additional surface terms having form of a derivative of the imaginary part of the microscopic optical potential are needed. The problem of ambiguity of adjusted optical potentials is resolved requiring the respective volume integrals to obey the determined dependence on the collision energy. Estimations of the Pauli blocking effects on the optical potentials and cross sections are also given and discussed. Conclusions on the role of the aforesaid effects and on the mechanism of the considered processes are made.