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arXiv · 1510.03756

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

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

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D. V. Gorpinchenko, A. G. Magner, J. Bartel, J. P. Blocki. 2019-05-15. Surface corrections to the moment of inertia and shell structure in finite Fermi systems. https://doi.org/10.1103/physrevc.93.024304

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