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Semiclassical shell-structure moment of inertia for equilibrium rotation of a simple Fermi system

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Abstract

Semiclassical shell-structure components of the collectivemoment of inertia are derived within the mean-field cranking model in the adiabatic approximation in terms of the free-energy shell corrections through those of a rigid body for the statistically equilibriumrotation of a Fermi system at finite temperature by using the nonperturbative extended Gutzwiller periodic-orbit theory. Their analytical structure in terms of the equatorial and 3-dimensional periodic orbits for the axially symmetric harmonic oscillator potential is in perfect agreement with the quantum results for different critical bifurcation deformations and different temperatures.

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Authors and Affiliations

  1. Institute for Nuclear Research, NAS of Ukraine, Kyiv, Ukraine

    A. G. Magner & A. M. Gzhebinsky

  2. Kazan State Power-Engineering University, Kazan, Russia

    A. S. Sitdikov & A. A. Khamzin

  3. Institut Pluridisciplinaire Hubert Curien, CNRS/IN2P3, Université Louis Pasteur, Strasbourg, France

    J. Bartel

Authors
  1. A. G. Magner
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  2. A. S. Sitdikov
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  3. A. A. Khamzin
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  4. J. Bartel
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  5. A. M. Gzhebinsky
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Correspondence to A. S. Sitdikov.

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The text was submitted by the authors in English

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Magner, A.G., Sitdikov, A.S., Khamzin, A.A. et al. Semiclassical shell-structure moment of inertia for equilibrium rotation of a simple Fermi system. Phys. Atom. Nuclei 73, 1398–1404 (2010). https://doi.org/10.1134/S1063778810080132

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  • DOI: https://doi.org/10.1134/S1063778810080132

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