Shape phase transitions in algebraic nuclear models

A review of the shape phase transitions within the IBA, is presented. This nuclear model depends on two control parameters, (r(2), r(1)), and two order parameters, (beta, gamma). In the control parameter space, the accesible shapes and stability properties of the Consistent-Q nuclear model are estab...

Descripción completa

Detalles Bibliográficos
Autores: Castanos, O, López-Moreno, E, López-Pena, R
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1696
Acceso en línea:http://hdl.handle.net/11154/1696
Access Level:acceso abierto
Palabra clave:Physics, Multidisciplinary
algebraic nuclear models
shape phase transitions
coherent states and catastrophe theory
Descripción
Sumario:A review of the shape phase transitions within the IBA, is presented. This nuclear model depends on two control parameters, (r(2), r(1)), and two order parameters, (beta, gamma). In the control parameter space, the accesible shapes and stability properties of the Consistent-Q nuclear model are established. The procedure of coherent states plus catastrophe formalisms to determine the shape phase diagram of an algebraic nuclear model is illustrated by considering the Meshkov-Glick-Lipkin nuclear model. The relevance of the separatrix to organize the classical orbits and the structure of the quantum energy levels is established.