Spectral properties of a tractable collective Hamiltonian

Details Spectral properties of a tractable collective Hamiltonian Spectral properties of a tractable collective Hamiltonian

2008-10-02

arxiv.org/abs/0810.0319v1

Physics

Nuclear Physics

Nuclear Theory

submitted to PRC

Scientific paper

10.1103/PhysRevC.79.034305

The spectral properties of a tractable collective model Hamiltonian are studied. The potential energy is truncated up to quartic terms in the quadrupole deformation variables, incorporating vibrational, $\gamma$-independent rotational and axially deformed rotational structures. These physically significant limits are analysed in detail and confronted with well-established approximation schemes. Furthermore, transitional Hamiltonians in between the limits are presented and discussed. All results are obtained within a recently presented Cartan-Weyl based framework to calculate $SU(1,1)\times SO(5)$ embedded quadrupole collective observables.

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