Surface corrections to the moment of inertia and shell structure in finite Fermi systems

TL;DR

This paper develops a semiclassical method incorporating surface corrections to accurately compute the moment of inertia and shell structure in finite Fermi systems like nuclei, improving agreement with quantum calculations.

Contribution

It introduces an improved phase-space trace formula and surface correction techniques within a semiclassical framework for better modeling nuclear moments of inertia.

Findings

Good agreement with quantum calculations for shell corrections.

Enhanced accuracy of moment of inertia estimations.

Effective surface correction methods validated.

Abstract

The moment of inertia for nuclear collective rotations is derived within a semiclassical approach based on the Inglis cranking and Strutinsky shell-correction methods, improved by surface corrections within the nonperturbative periodic-orbit theory. For adiabatic (statistical-equilibrium) rotations it was approximated by the generalized rigid-body moment of inertia accounting for the shell corrections of the particle density. An improved phase-space trace formula allows to express the shell components of the moment of inertia more accurately in terms of the free-energy shell correction. Evaluating their ratio within the extended Thomas-Fermi effective-surface approximation, one finds good agreement with the quantum calculations.