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

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.

Comments: 10 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1707.04517