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Full text (en) Semiclassical shell-structure moments of inertia in heated Fermi systems
A. G. Magner1, A. S. Sitdikov2, A. A. Khamzin2, J. Bartel3, A. M. Gzhebinsky1
1Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine
2Kazan State Power-Engineering University, Kazan, Russia
3Institut Pluridisciplinaire Hubert Curien, Universit'e Louis Pasteur, Strasbourg, France
Abstract: The moment of inertia for collective rotation is derived analytically for the harmonic-oscillator Hamiltonian within the cranking model for any rotation frequency and at finite temperature. Semiclassical shell-structure moments of the inertia are obtained in terms of the free-energy shell corrections through the rigid-body inertia of the statistically equilibrium rotation of a heated Fermi system by using the 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 quantum results for critical deformations and temperatures.
Keywords: cranking model, nuclear rotations, moment of inertia, periodic orbit theory, shell-correction energy, harmonic oscillator potential.
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