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On the relation between E(5)- models and the interacting boson model

 

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Author: García Ramos, José Enrique
Arias Carrasco, José Miguel
Department: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Date: 2009
Published in: 13th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics (2009), p 278-282
ISBN/ISSN: 0094-243X
1551-7616
Document type: Presentation
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, 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.
Cite: 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.
Size: 230.8Kb
Format: PDF

URI: https://hdl.handle.net/11441/84883

DOI: 10.1063/1.3087027

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