Energy dependence of the potential for interaction of 16O ions with 12C nuclei
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 correction...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute for Nuclear Research, National Academy of Sciences of Ukraine
2009-09-01
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| Series: | Âderna Fìzika ta Energetika |
| Subjects: | |
| Online Access: | http://jnpae.kinr.kiev.ua/10.3/Articles_PDF/jnpae-2009-10-0239-Magner.pdf |
| Summary: | 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. |
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| ISSN: | 1818-331X 2074-0565 |