Single-particle decomposition of nuclear surface diffuseness

Abstract

Abstract Nuclear surface diffuseness reflects spectroscopic information near the Fermi level. I propose a way to decompose the surface diffuseness into single-particle (s.p.) contributions in a quantitative manner. Systematic behavior of the surface diffuseness of neutron-rich even–even O, Ca, Ni, Sn, and Pb isotopes is analyzed with a phenomenological mean-field approach. The role of the s.p. wave functions near the Fermi level is explored: The nodeless s.p. orbits form a sharp nuclear surface, while the nodal s.p. orbits contribute to diffusing the nuclear surface.