Mean-field calculations of exotic nuclei ground states

TL;DR

This paper compares three mean-field theoretical approaches to predict ground state properties of exotic spherical nuclei, highlighting their similarities and the influence of fundamental assumptions over specific implementations.

Contribution

It provides a comparative analysis of non-relativistic and relativistic mean-field models for exotic nuclei, emphasizing the robustness of mean-field hypotheses.

Findings

Consistent results across different mean-field models.

Ground state properties are more influenced by basic hypotheses than specific implementations.

Good agreement in predictions of binding energies and radii.

Abstract

We study the predictions of three mean-field theoretical approaches in the description of the ground state properties of some spherical nuclei far from the stability line. We compare binding energies, single particle spectra, density distributions, charge and neutron radii obtained with non-relativistic Hartree-Fock calculations carried out with both zero and finite-range interactions, and with a relativistic Hartree approach which uses a finite-range interaction. The agreement between the results obtained with the three different approaches indicates that these results are more related to the basic hypotheses of the mean-field approach rather than to its implementation in actual calculations.