Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. II. Classical trajectories

Physics – Nuclear Physics – Nuclear Theory

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11 pages, 7 figures; continuation of nucl-th/0504016

Scientific paper

10.1103/PhysRevC.73.014307

This article continues our previous study of level dynamics in the [O(6)-U(5)]$\supset$O(5) transition of the interacting boson model [nucl-th/0504016] using the semiclassical theory of spectral fluctuations. We find classical monodromy, related to a singular bundle of orbits with infinite period at energy E=0, and bifurcations of numerous periodic orbits for E>0. The spectrum of allowed ratios of periods associated with beta- and gamma-vibrations exhibits an abrupt change around zero energy. These findings explain anomalous bunching of quantum states in the E$\approx$0 region, which is responsible for the redistribution of levels between O(6) and U(5) multiplets.

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