Presentation
On the relation between E(5)- models and the interacting boson model
Author/s | García Ramos, José Enrique
Arias Carrasco, José Miguel ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2009 |
Deposit Date | 2019-03-28 |
Published in |
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ISBN/ISSN | 0094-243X 1551-7616 |
Abstract | The connections between the Ε(5)-models (the original Ε(5) using an infinite square well, Ε(5) - β4 Ε(5) - β6 and Ε(5) - β8), based on particular solutions of the geometrical Bohr Hamiltonian with γ -unstable potentials, ... The connections between the Ε(5)-models (the original Ε(5) using an infinite square well, Ε(5) - β4 Ε(5) - β6 and Ε(5) - β8), 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 £(5) - models energies is performed. It is shown that within the IBM one can reproduce very well all these Ε(5) - models. The agreement is the best for Ε(5) - β4 and reduces when passing through Ε(5) - β6, Ε(5) - β8 and Ε(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. |
Project ID. | FIS2005-0 1105
![]() FPA2006-13807 -C02-02 ![]() FPA2007- 63074 ![]() FQM160 ![]() FQM318 ![]() P05-FQM437 ![]() P07-FQM-02962 ![]() |
Citation | García Ramos, J.E. y Arias Carrasco, J.M. (2009). On the relation between E(5)- models and the interacting boson model. En 13th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics (278-282), Colonia, Alemania: American Institute of Physics. |
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