Exact analytic description of nuclear shape phase transitions
Fuente:
Redalyc
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Artículo científico |
| Sprache: | en |
| Veröffentlicht: |
Sociedad Mexicana de Física A.C.
2006
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1876442877829054464 |
|---|---|
| author | G. Lévai |
| author_facet | G. Lévai |
| contents | Exact analytic description of nuclear shape phase transitions G. Lévai Física, Astronomía y Matemáticas Quasi Nuclear shape Quadrupole collectivity exactly solvable potentials We apply the sextic oscillator as a 7-independent potential in the Bohr Hamiltonian and present exact analytic results for the energy eigenvalues and wavefunctions of the lowest few levels. Further properties, such as the flexible shape of the potential are also discussed. As illustration a potential reproducing the spectroscopic properties of the 134Ba nucleus, the first candidate for the E(5) symmetry is constructed. Fits to the energy spectrum of the 102Ru, 104Ru and 106Ru isotopes are also presented, and it is shown that in this region the potential undergoes changes characteristic for a transition from the spherical vibrator to the deformed 7-unstable domain. Possible generalizations of the model are also pointed out. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57016045015 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num. 1 Vol.52 |
| format | Artículo científico |
| id | redalyc_57016045015 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Exact analytic description of nuclear shape phase transitions G. Lévai Física, Astronomía y Matemáticas Quasi Nuclear shape Quadrupole collectivity exactly solvable potentials Exact analytic description of nuclear shape phase transitions G. Lévai Física, Astronomía y Matemáticas Quasi Nuclear shape Quadrupole collectivity exactly solvable potentials We apply the sextic oscillator as a 7-independent potential in the Bohr Hamiltonian and present exact analytic results for the energy eigenvalues and wavefunctions of the lowest few levels. Further properties, such as the flexible shape of the potential are also discussed. As illustration a potential reproducing the spectroscopic properties of the 134Ba nucleus, the first candidate for the E(5) symmetry is constructed. Fits to the energy spectrum of the 102Ru, 104Ru and 106Ru isotopes are also presented, and it is shown that in this region the potential undergoes changes characteristic for a transition from the spherical vibrator to the deformed 7-unstable domain. Possible generalizations of the model are also pointed out. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57016045015 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num. 1 Vol.52 |
| title | Exact analytic description of nuclear shape phase transitions |
| topic | Física, Astronomía y Matemáticas Quasi Nuclear shape Quadrupole collectivity exactly solvable potentials |
| url | https://www.redalyc.org/articulo.oa?id=57016045015 |