Quartetting Wave Function Approach to $^{20}$Ne: Shell Model and Local Density Approximation

TL;DR

This paper develops a wave function approach to model alpha-like correlations in $^{20}$Ne, combining shell model and local density approximation to improve understanding of nucleon quartet behavior within the nucleus.

Contribution

It introduces a novel quartetting wave function method integrating shell model and local density approximation for alpha-like correlations in $^{20}$Ne.

Findings

Effective potential and wave function for the alpha-like quartet are calculated.

Comparison shows the approach aligns with other models.

Enhanced understanding of nucleon correlations in nuclear structure.

Abstract

We investigate $\alpha$-like correlations in $^{20}$Ne. A quartet of nucleons (different spin/isospin) is moving in a mean field produced by the $^{16}$O core nucleus. Improving the Thomas-Fermi model (local density approach), a shell model is considered for the core nucleus. The effective potential of the $\alpha$-like quartet and the wave function for the center-of-mass (c.o.m.) motion are calculated and compared with other approaches.