Artículo
Relation between E(5) models and the interacting boson model
Autor/es | García Ramos, José Enrique
Arias Carrasco, José Miguel |
Departamento | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Fecha de publicación | 2008 |
Fecha de depósito | 2017-04-26 |
Publicado en |
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Resumen | The connections between the E(5) models [the original E(5) using an infinite square well, E(5)-β4, E(5)-β6, and E(5)-β8], based on particular solutions of the geometrical Bohr Hamiltonian with γ-unstable potentials, and ... The connections between the E(5) models [the original E(5) using an infinite square well, E(5)-β4, E(5)-β6, and E(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 E(5) models energies is performed, later on the obtained wave functions 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)-β4 and reduces when passing through E(5)-β6, E(5)-β8, 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 |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España Junta de Andalucía |
Identificador del proyecto | FIS2005-01105
FPA2006-13807-C02-02 FPA2007-63074 FQM160 FQM318 P05-FQM437 P07-FQM-02962 |
Cita | García Ramos, J.E. y Arias Carrasco, J.M. (2008). Relation between E(5) models and the interacting boson model. Physical Review C - Nuclear Physics, 77 (5), 054307-1-054307-9. |
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