An effective Nuclear Model: from Nuclear Matter to Finite Nuclei

TL;DR

This paper develops a simple density-dependent finite-range nuclear interaction model that accurately describes nuclear matter properties and finite nuclei, bridging microscopic interactions and observable nuclear characteristics.

Contribution

It introduces a novel effective interaction incorporating a Gaussian term, capable of reproducing diverse predictions for asymmetric nuclear matter and finite nuclei properties.

Findings

Accurately predicts energies and charge radii of spherical nuclei

Reproduces diverging predictions of isovector mean field in asymmetric matter

Aligns well with other effective theories for finite nuclei

Abstract

The momentum and density dependence of mean fields in symmetric and asymmetric nuclear matter are analysed using the simple density dependent finite range effective interaction containing a single Gaussian term alongwith the zero-range terms. Within the formalism developed, it is possible to reproduce the various diverging predictions on the momentum and density dependence of isovector part of the mean field in asymmetric matter. The finite nucleus calculation is formulated for the simple Gaussian interaction in the framework of quasilocal density functional theory. The prediction of energies and charge radii of the interaction for the spherical nuclei compares well with the results of other effective theories.