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

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778810080132· OSTI ID:21426684

Magner, A G ^[1]; Khamzin, A A ^[2]; Bartel, J ^[3]; Gzhebinsky, A M ^[1]

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1. NAS of Ukraine, Institute for Nuclear Research (Ukraine)
2. Kazan State Power-Engineering University (Russian Federation)
3. Universite Louis Pasteur, Institut Pluridisciplinaire Hubert Curien, CNRS/IN2P3 (France)

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.

• OSTI ID: 21426684
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 8 Vol. 73; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ADIABATIC APPROXIMATION
APPROXIMATIONS
AXIAL SYMMETRY
BIFURCATION
CALCULATION METHODS
CORRECTIONS
CRANKING MODEL
DEFORMATION
ENERGY
EQUILIBRIUM
FREE ENERGY
HARMONIC OSCILLATORS
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MOMENT OF INERTIA
NUCLEAR MODELS
PHYSICAL PROPERTIES
SEMICLASSICAL APPROXIMATION
SHELL MODELS
SYMMETRY
THERMODYNAMIC PROPERTIES
THREE-DIMENSIONAL CALCULATIONS