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

2014/11/23 by D. V. Gorpinchenko, Gorpinchenko, D. V., A. G. Magner +5
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.1411.6195

openalex publication_date 2014/11/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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