On the relation between $E(5)-$models and the interacting boson model
| dc.creator | Garcia-Ramos, J. E. | |
| dc.creator | Arias, J. M. | |
| dc.date | 2008-02-25 | |
| dc.date.accessioned | 2026-07-07T11:40:28Z | |
| dc.date.available | 2026-07-07T11:40:28Z | |
| dc.description | The connections between the $E(5)-$models (the original E(5) using an infinite square well, $E(5)-β^4$, $E(5)-β^6$ and $E(5)-β^8$), based on particular solutions of the geometrical Bohr Hamiltonian with $γ$-unstable potentials, and the interacting boson model (IBM) are explored. For that purpose, the general IBM Hamiltonian for the $U(5)-O(6)$ transition line is used and a numerical fit to the different $E(5)-$models energies is performed, later on the obtained wavefunctions are used to calculate B(E2) transition rates. It is shown that within the IBM one can reproduce very well all these $E(5)-$models. The agreement is the best for $E(5)-β^4$ and reduces when passing through $E(5)-β^6$, $E(5)-β^8$ and E(5), where the worst agreement is obtained (although still very good for a restricted set of lowest lying states). The fitted IBM Hamiltonians correspond to energy surfaces close to those expected for the critical point. A phenomenon similar to the quasidynamical symmetry is observed. | |
| dc.identifier | https://arxiv.org/abs/0802.3685 | |
| dc.identifier | http://arxiv.org/abs/0802.3685 | |
| dc.identifier | Phys.Rev.C77:054307,2008 | |
| dc.identifier | doi:10.1103/PhysRevC.77.054307 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200267 | |
| dc.subject | Nuclear Theory | |
| dc.title | On the relation between $E(5)-$models and the interacting boson model | |
| dc.type | text |