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: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute for Nuclear Research, National Academy of Sciences of Ukraine
2009-09-01
|
| Series: | Âderna Fìzika ta Energetika |
| Subjects: | |
| Online Access: | http://jnpae.kinr.kiev.ua/10.3/Articles_PDF/jnpae-2009-10-0239-Magner.pdf |
| _version_ | 1811266516736278528 |
|---|---|
| author | A. T. Rudchik Yu. O. Shyrma O. A. Ponkratenko |
| author_facet | A. T. Rudchik Yu. O. Shyrma O. A. Ponkratenko |
| author_sort | A. T. Rudchik |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T20:43:25Z |
| format | Article |
| id | doaj.art-203c30aa9b4845ccb7afec1ac366a854 |
| institution | Directory Open Access Journal |
| issn | 1818-331X 2074-0565 |
| language | English |
| last_indexed | 2024-04-12T20:43:25Z |
| publishDate | 2009-09-01 |
| publisher | Institute for Nuclear Research, National Academy of Sciences of Ukraine |
| record_format | Article |
| series | Âderna Fìzika ta Energetika |
| spelling | doaj.art-203c30aa9b4845ccb7afec1ac366a8542022-12-22T03:17:20ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineÂderna Fìzika ta Energetika1818-331X2074-05652009-09-01103249256Energy dependence of the potential for interaction of 16O ions with 12C nucleiA. T. Rudchik0Yu. O. Shyrma1O. A. Ponkratenko2Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, UkraineInstitute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, UkraineInstitute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, UkraineThe 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.http://jnpae.kinr.kiev.ua/10.3/Articles_PDF/jnpae-2009-10-0239-Magner.pdfcranking modelnuclear rotationsmoment of inertiaperiodic orbit theoryshell-correction energyharmonic oscillator potential. |
| spellingShingle | A. T. Rudchik Yu. O. Shyrma O. A. Ponkratenko Energy dependence of the potential for interaction of 16O ions with 12C nuclei Âderna Fìzika ta Energetika cranking model nuclear rotations moment of inertia periodic orbit theory shell-correction energy harmonic oscillator potential. |
| title | Energy dependence of the potential for interaction of 16O ions with 12C nuclei |
| title_full | Energy dependence of the potential for interaction of 16O ions with 12C nuclei |
| title_fullStr | Energy dependence of the potential for interaction of 16O ions with 12C nuclei |
| title_full_unstemmed | Energy dependence of the potential for interaction of 16O ions with 12C nuclei |
| title_short | Energy dependence of the potential for interaction of 16O ions with 12C nuclei |
| title_sort | energy dependence of the potential for interaction of 16o ions with 12c nuclei |
| topic | cranking model nuclear rotations moment of inertia periodic orbit theory shell-correction energy harmonic oscillator potential. |
| url | http://jnpae.kinr.kiev.ua/10.3/Articles_PDF/jnpae-2009-10-0239-Magner.pdf |
| work_keys_str_mv | AT atrudchik energydependenceofthepotentialforinteractionof16oionswith12cnuclei AT yuoshyrma energydependenceofthepotentialforinteractionof16oionswith12cnuclei AT oaponkratenko energydependenceofthepotentialforinteractionof16oionswith12cnuclei |