Mean-field description of the nucleus-nucleus optical potential

TL;DR

This paper introduces a new finite-range, density-dependent nucleon-nucleon interaction model that accurately reproduces optical potentials in nuclear matter and applies it to elastic scattering calculations.

Contribution

It presents a novel density-dependent interaction based on the CDM3Y functional, calibrated to match Brueckner-Hartree-Fock results, and demonstrates its application in nuclear scattering models.

Findings

The new interaction closely matches existing optical potential calculations.

It successfully predicts elastic scattering outcomes for various nuclear systems.

The model improves the accuracy of nuclear reaction simulations.

Abstract

A new finite-range representation of the JLM effective nucleon-nucleon interaction is suggested based on the CDM3Y density dependent functional and M3Y-Paris interaction. The density dependence has been carefully adjusted at each energy so that the nucleon optical potential (OP) given by the new density dependent interaction in the Hartree-Fock calculation of nuclear matter closely matches the JLM nucleon OP given by the Brueckner-Hatree-Fock calculation. The new interaction has been used in the double-folding model to calculate the OP for the elastic $^{6}$Li,$^{6}$He,$^{12}$C + $^{12}$C scattering at different energies.