Exactly Solvable Model for the Decay of Superdeformed Nuclei

Details Exactly Solvable Model for the Decay of Superdeformed Nuclei Exactly Solvable Model for the Decay of Superdeformed Nuclei

2005-08-19

arxiv.org/abs/nucl-th/0508038v1

Int.J.Mod.Phys. E14 (2005) 157

Physics

Nuclear Physics

Nuclear Theory

8 pages, 3 figures, from a talk given at the conference Blueprints for the Nucleus: From First Principles to Collective Motion

Scientific paper

10.1142/S0218301305002886

The history and importance of superdeformation in nuclei is briefly discussed. A simple two-level model is then employed to obtain an elegant expression for the branching ratio for the decay via the E1 process in the normal-deformed band of superdeformed nuclei. From this expression, the spreading width Gamma^downarrow for superdeformed decay is found to be determined completely by experimentally known quantities. The accuracy of the two-level approximation is verified by considering the effects of other normal-deformed states. Furthermore, by using a statistical model of the energy levels in the normal-deformed well, we can obtain a probabilistic expression for the tunneling matrix element V.

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