Semiclassical shell structure in rotating Fermi systems

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.064302· OSTI ID:21388577

Magner, A G ^[1]; Sitdikov, A S; Khamzin, A A ^[2]; Bartel, J ^[3]

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1. Institute for Nuclear Research, Kyiv 03680 (Ukraine)
2. Kazan State Power-Engineering University, Kazan 420066 (Russian Federation)
3. Institut Pluridisciplinaire Hubert Curien, CNRS/IN2P3, Universite Louis Pasteur, F-67000 Strasbourg (France)

The collective moment of inertia is derived analytically within the cranking model for any rotational frequency of the harmonic-oscillator potential well and at a finite temperature. Semiclassical shell-structure components of the collective moment of inertia are obtained for any potential by using the periodic-orbit theory. We found semiclassically their relation to the free-energy shell corrections through the shell-structure components of the rigid-body moment of inertia of the statistically equilibrium rotation in terms of short periodic orbits. The shell effects in the moment of inertia exponentially disappear with increasing temperature. For the case of the harmonic-oscillator potential, one observes a perfect agreement of the semiclassical and quantum shell-structure components of the free energy and the moment of inertia for several critical bifurcation deformations and several temperatures.

• OSTI ID: 21388577
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 81; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BIFURCATION
CALCULATION METHODS
CORRECTIONS
CRANKING MODEL
DEFORMATION
ENERGY
EQUILIBRIUM
FREE ENERGY
HARMONIC OSCILLATORS
MATHEMATICAL MODELS
MOMENT OF INERTIA
NUCLEAR DEFORMATION
NUCLEAR MODELS
ORBITS
PERIODICITY
PHYSICAL PROPERTIES
SEMICLASSICAL APPROXIMATION
THERMODYNAMIC PROPERTIES
VARIATIONS