# Nuclear shape-phase transitions studied within the interacting boson model-1

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It is argued that spectral features of quantal systems with random interactions can be given a geometric interpretation. This conjecture is investigated in the context of two simple models: a system of randomly interacting d bosons and one of randomly interacting fermions in a j = 7/2 shell. In...

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The degree to which the phase space of a closed bosonic string carries a representation of the two-dimensional diffeomorphism group Diff(M) is investigated. In particular, homomorphic mappings from the associated Lie algebra diff(M) into the Poisson algebra of functions on three natural phase...

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The extension of the interacting Boson model of (IBM) nuclei to sdgi bosons leads naturally to the group structure U28â†’SU3â†’SO3. There exist alternative group structures involving the exceptional Lie groups G2 and E6, namely, U28â†’SU7â†’SO7â†’G2â†’SO3 and...

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- New Interpretation of the O(6) Limit of the Interacting Boson Model. Jolie, J.; Heinze, S.; von Brentano, P.; Werner, V.; Cejnar, P. // AIP Conference Proceedings;2002, Vol. 638 Issue 1, p213
We show that O(6) limit is simultaneously a dynamical symmetry of the U(6) group of the Interacting Boson Model anal a critical point of a prolate-oblate phase transition. This observation leads to a new form of the Casten triangle of which the phase transitional behavior is studied. Empirical...