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

Arias Carrasco, José Miguel; Alonso Alonso, Clara Eugenia; Vitturi, A.; García Ramos, José Enrique; Dukelsky, J.; Frank, A.

Author

Arias Carrasco, José Miguel; Alonso Alonso, Clara Eugenia; Vitturi, A.; García Ramos, José Enrique ; Dukelsky, J.; [et al.]
Publication Date

2003-10-24
Publisher

American Physical Society
Citation

Arias Carrasco, J.M., Alonso Alonso, C.E., Vitturi, A., García Ramos, J.E., Dukelsky, J., Frank, A.: "The U(5)–O(6) transition in the Interacting Boson Model and the E(5) critical point symmetry". Physical Review C . Vol. 68, n. 4 (2003). ISSN 0556-2813
Abstract

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.
URI

http://hdl.handle.net/10272/5464

Fichero	Tamaño	Formato	Ver	Description
U5 _ 06_transition_in_the_interacting_boson.pdf	111.3Kb	PDF	View/Open	preprint version

Fichero	Tamaño	Formato	Ver	Description
U5 _ 06_transition_in_the_interacting_boson.pdf	111.3Kb	PDF	View/Open	preprint version

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

Author

Arias Carrasco, José Miguel; Alonso Alonso, Clara Eugenia; Vitturi, A.; García Ramos, José Enrique UHU Authority

; Dukelsky, J.; [et al.]

Publication Date

2003-10-24

Publisher

American Physical Society

Citation

Arias Carrasco, J.M., Alonso Alonso, C.E., Vitturi, A., García Ramos, J.E., Dukelsky, J., Frank, A.: "The U(5)–O(6) transition in the Interacting Boson Model and the E(5) critical point symmetry". Physical Review C . Vol. 68, n. 4 (2003). ISSN 0556-2813

Abstract

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.