Abstract
We carry out a study on various configurations admissible in a superdeformed nucleus, 152Dy. Our interest is in extracting the nature of spectral fluctuations and compare with those of random matrix theory. In particular, we study the distribution functions of ratios of the nearest-neighbor spacing of the energy levels. This does not require usage for the average level density. For several variations of shapes, the energy levels have been calculated in a self-consistent manner, and their fluctuations show that the energy levels are correlated in a manner expected for the eigenvalues of quantum systems which are classically non-integrable. Due to limited size of level sequences in each symmetry class, our results may be termed only indicative.
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Dwivedi, N., Agarwal, B. & Jain, S.R. Spectral statistics of energy levels of 152Dy. Eur. Phys. J. Spec. Top. 229, 2619–2628 (2020). https://doi.org/10.1140/epjst/e2020-000151-y
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DOI: https://doi.org/10.1140/epjst/e2020-000151-y