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

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2003-10-24

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Ciencias Integradas

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Center

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

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.

Keywords

Bosones; Física nuclear; Boson model

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Bibliographic 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

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