β4 potential at the U(5)–O(6) critical point of the interacting boson model

Exact numerical results of the interacting boson model Hamiltonian along the integrable line from U(5) to O(6) are obtained by diagonalization within boson seniority subspaces. The matrix Hamiltonian reduces to a block tridiagonal form that can be diagonalized for large number of bosons. We present...

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Detalles Bibliográficos
Autores: García Ramos, José Enrique, Dukelsky, Jorge, Arias Carrasco, José Miguel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/85011
Acceso en línea:https://hdl.handle.net/11441/85011
https://doi.org/10.1103/PhysRevC.72.037301
Access Level:acceso abierto
Descripción
Sumario:Exact numerical results of the interacting boson model Hamiltonian along the integrable line from U(5) to O(6) are obtained by diagonalization within boson seniority subspaces. The matrix Hamiltonian reduces to a block tridiagonal form that can be diagonalized for large number of bosons. We present results for the low-energy spectrum and the transition probabilities for systems up to 10,000 bosons, which confirm that at the critical point the system is equally well described by the Bohr Hamiltonian with a Î 4 potential.