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Random Matrix Theory in Cd isotopes

Majarshin, A. J.·Luo, Yan-An·Pan, Feng·Draayer, Jerry P.
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Abstract

Random matrix theory (RMT) is used to provide a measure of the chaoticity (q) of calculated results for the spectra for various Cd isotopes. Here, the goal is to gain a better understanding of the internal dynamics in play; namely, whether it tracks with regular or irregular (chaotic) behavior as determined through an RMT analyses of calculated spectra. The basis-state configurations used to determine the spectra includes all positive, negative, natural (J π = 1 – , 2 + , ...), and unnatural parity configurations (J π = 0 – , 1 + , 2 – , ...), unless suppressed for comparative purposes. The results show that when intruder-state configurations are in play, regular behavior emerges, but when not in play, chaotic behavior seems to dominate the dynamics.

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73 NUCLEAR PHYSICS AND RADIATION PHYSICSCd isotopesPhysicschaos and regularitynuclear structurerandom matrix theoryspectral statistics

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Majarshin, A. J., Luo, Yan-An, Pan, Feng, Draayer, Jerry P.. 2021-09-22. Random Matrix Theory in Cd isotopes. https://doi.org/10.1088/1361-6471%2Fac2313

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