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

D. V. Gorpinchenko; A. G. Magner; J. Bartel; J. P. Blocki

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arXiv · 1411.6195

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

D. V. Gorpinchenko·A. G. Magner·J. Bartel·J. P. Blocki

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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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D. V. Gorpinchenko, A. G. Magner, J. Bartel, J. P. Blocki. 2014-11-23. Semiclassical shell-structure moment of inertia within the phase-space approach. https://arxiv.org/abs/1411.6195

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