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

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

2003-09-02

arxiv.org/abs/nucl-th/0309005v1

Phys.Rev. C68 (2003) 041302

Physics

Nuclear Physics

Nuclear Theory

Accepted in PRC

Scientific paper

10.1103/PhysRevC.68.041302

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 obtained 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 $\beta^4$ potential.

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