Abstract
Bohigas, Giannoni and Schmit conjectured that quantum analogs of classically chaotic systems have level statistics which are consistent with the Gaussian orthogonal ensemble (GOE) of random matrix theory. This suggests that the fluctuation properties of nuclear levels may be used as a signature for chaos or regularity. Resonance data are known to display the long and short range order predicted by GOE. In one nucleus, 26Al, all levels are known from the ground state to the resonance region. This provides the first experimental test of the behavior of fluctuation properties as a function of symmetry breaking — in this case, isospin. In addition there are many nuclides where level schemes are complete over a more limited range of energies and spins. Our analysis of a large data set (~ 160 sequences in 60 nuclides) reveals a strong dependence on the mass number A.
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Schedule a callMore From: Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms
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