Quantum chaos in the nuclear collective model: I. Classical-quantum correspondence

TL;DR

This paper investigates the classical-quantum correspondence in nuclear collective models, analyzing spectra to identify chaos and regularity, and examining how classical features manifest in quantum signatures across various quantization schemes.

Contribution

It demonstrates the quantum signatures of classical chaos in nuclear models and explores the effects of different quantization schemes and parameters on this correspondence.

Findings

Quantum signatures of classical chaos are confirmed in nuclear spectra.

Classical chaos variability influences quantum spectral correlations.

Different quantization schemes affect the classical-quantum correspondence.

Abstract

Spectra of the geometric collective model of atomic nuclei are analyzed to identify chaotic correlations among nonrotational states. The model has been previously shown to exhibit a high degree of variability of regular and chaotic classical features with energy and control parameters. Corresponding signatures are now verified also on the quantum level for different schemes of quantization and with a variable classicality constant.