The U(5)–O(6) transition in the Interacting Boson Model and the E(5) critical point symmetry

The relation of the recently proposed E(5) critical point symmetry with the interacting boson model is investigated. The large-N limit of the interacting boson model at the critical point in the transition from U(5) to O(6) is ob- tained by solving the Richardson equations. It is shown explicitly th...

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Detalles Bibliográficos
Autores: Arias Carrasco, José Miguel, Alonso Alonso, Clara Eugenia, Vitturi, A., García Ramos, José Enrique, Dukelsky, J., Frank, A.
Tipo de recurso: artículo
Fecha de publicación:2003
País:España
Institución:Universidad de Huelva (UHU)
Repositorio:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Idioma:inglés
OAI Identifier:oai:ariasmontano.uhu.es:10272/5464
Acceso en línea:http://hdl.handle.net/10272/5464
Access Level:acceso abierto
Palabra clave:Boson model
Descripción
Sumario:The relation of the recently proposed E(5) critical point symmetry with the interacting boson model is investigated. The large-N limit of the interacting boson model at the critical point in the transition from U(5) to O(6) is ob- tained by solving the Richardson equations. It is shown explicitly that this algebraic calculation leads to the same results as the solution of the Bohr differential equation with a β4 potential.