Semiclassical shell-structure moment of inertia within the phase-space approach

TL;DR

This paper develops a semiclassical phase-space approach to calculate the nuclear moment of inertia, incorporating shell effects and providing results consistent with quantum calculations.

Contribution

It introduces a non-perturbative periodic-orbit theory method to derive the shell-corrected moment of inertia within the phase-space framework.

Findings

Accurately reproduces quantum shell effects in moment of inertia.

Provides a generalized rigid-body approximation with shell corrections.

Shows good agreement with quantum calculations for integrable and chaotic systems.

Abstract

The moment of inertia for nuclear collective rotations was derived within the semiclassical approach based on the cranking model and the Strutinsky shell-correction method by using the non-perturbative periodic-orbit theory in the phase space variables. This moment of inertia for adiabatic (statistical-equilibrium) rotations can be approximated by the generalized rigid-body moment of inertia accounting for the shell corrections of the particle density. A semiclassical phase-space trace formula allows to express quite accurately the shell components of the moment of inertia in terms of the free-energy shell corrections for integrable and partially chaotic Fermi systems, in good agreement with the quantum calculations.