Phase transitions in the sdg interacting boson model
A geometric analysis of the sdg interacting boson model is performed. A coherent state is used in terms of three types of deformation: axial quadrupole ( β 2 ), axial hexadecapole ( β 4 ) and triaxial ( γ 2 ). The phase-transitional structure is established for a schematic sdg Hamiltonian which is i...
Gespeichert in:
| Veröffentlicht in: | Nuclear physics. A 2010-05, Vol.836 (3), p.225-241 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | A geometric analysis of the
sdg interacting boson model is performed. A coherent state is used in terms of three types of deformation: axial quadrupole (
β
2
), axial hexadecapole (
β
4
) and triaxial (
γ
2
). The phase-transitional structure is established for a schematic
sdg Hamiltonian which is intermediate between four dynamical symmetries of
U
(
15
)
, namely the spherical
U
(
5
)
⊗
U
(
9
)
, the (prolate and oblate) deformed
SU
±
(
3
)
and the
γ
2
-soft
SO
(
15
)
limits. For realistic choices of the Hamiltonian parameters the resulting phase diagram has properties close to what is obtained in the
sd version of the model and, in particular, no transition towards a stable triaxial shape is found. |
|---|---|
| ISSN: | 0375-9474 1873-1554 |
| DOI: | 10.1016/j.nuclphysa.2010.01.247 |