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Exactly Solvable Model for the Decay of Superdeformed Nuclei

B. R. Barrett·D. M. Cardamone·C. A. Stafford
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Abstract

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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B. R. Barrett, D. M. Cardamone, C. A. Stafford. 2005-08-19. Exactly Solvable Model for the Decay of Superdeformed Nuclei. https://doi.org/10.1142/s0218301305002886

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