Neutron Radius ofPb208from 166-MeV Alpha-Particle Scattering

Abstract

The elastic scattering of $\alpha$ particles is analyzed with an optical potential obtained by a simple folding of the nuclear-matter distribution with an $\alpha$-nucleon interaction. The ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ neutron-matter radius is extracted using the charge-distribution parameters. The result $r_{\mathrm{nm}}=5.75\mathrm{}\pm 0.09$ fm is compared with other determinations and some theoretical calculations.