Is the Shell-Model Concept Relevant for the Nuclear Interior?

Abstract

The $3s$ radial wave function $R\left(\mathcal{r}\right)$ has been determined by electron scattering from ${}_{}{}^{206}{}_{}{}^{}\mathrm{Pb}$ and ${}_{}{}^{205}{}_{}{}^{}\mathrm{Tl}$. The shape of $R\left(\mathcal{r}\right)$ in the central region of the nucleus is used to test the validity of the independent-particle shell model at large nuclear density.