Single-particle decomposition of nuclear surface diffuseness

TL;DR

This paper introduces a method to decompose nuclear surface diffuseness into single-particle contributions, analyzing its systematic behavior across various isotopes using a mean-field approach, and exploring the role of wave functions near the Fermi level.

Contribution

It provides a quantitative decomposition of nuclear surface diffuseness into single-particle contributions, linking wave function characteristics to surface properties.

Findings

Nodeless s.p. orbits create sharp nuclear surfaces.

Nodal s.p. orbits contribute to surface diffusion.

Systematic behavior observed across multiple isotopes.

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 way. 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.