The β 4 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 which can be diagonalized for large number of bosons. We present...

Descripción completa

Detalles Bibliográficos
Autores: García Ramos, José Enrique, Dukelsky, J., Arias Carrasco, José Miguel
Tipo de recurso: artículo
Fecha de publicación:2005
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:10272/5460
Acceso en línea:http://hdl.handle.net/10272/5460
Access Level:acceso abierto
Palabra clave:Boson model
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 which can be diagonalized for large number of bosons. We present results for the low energy spectrum and the transition probabilities for systems up to 10000 bosons, which confirm that at the critical point the system is equally well described by the Bohr Hamiltonian with a 4 potential.