Determining the Energy Barrier for Decay out of Superdeformed Bands

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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v1: 4 pages, 1 figure, 1 table. v2: 5 pages, 1 figure, 1 table; minor corrections and clarifications

Scientific paper

10.1016/j.physletb.2010.03.052

An asymptotically exact quantum mechanical calculation of the matrix elements for tunneling through an asymmetric barrier is combined with the two-state statistical model for decay out of superdeformed bands to determine the energy barrier (as a function of spin) separating the superdeformed and normal-deformed wells for several nuclei in the 190 and 150 mass regions. The spin-dependence of the barrier leading to sudden decay out is shown to be consistent with the decrease of a centrifugal barrier with decreasing angular momentum. Values of the barrier frequency in the two mass regions are predicted.

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