Nuclear masses set bounds on quantum chaos

Abstract

It has been suggested that chaotic motion inside the nucleus may significantly limit the accuracy with which nuclear masses can be calculated. Using a power spectrum analysis we show that the inclusion of additional physical contributions in mass calculations, through many-body interactions or local information, removes the chaotic signal in the discrepancies between calculated and measured masses. Furthermore, a systematic application of global mass formulas and of a set of relationships among neighboring nuclei to more than 2000 nuclear masses allows to set an unambiguous upper bound for the average errors in calculated masses which turn out to be almost an order of magnitude smaller than estimated chaotic components.

4 pages, Accepted for publication in Physical Review Letters

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• Microscopic mass formulae
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• Nuclear Mass Predictions for the Crustal Composition of Neutron Stars: A Bayesian Neural Network Approach
• Further improvements on a global nuclear mass model
• Global study of quadrupole correlation effects
• Nuclear charge radii: Density functional theory meets Bayesian neural networks
• The impact of individual nuclear masses on $r$-process abundances
• A Minimal Nuclear Energy Density Functional
• Improved Kelson-Garvey mass relations for proton-rich nuclei
• Nuclear masses in extended kernel ridge regression with odd-even effects
• High precision nuclear mass predictions towards a hundred kilo-electron-volt accuracy
• Error analysis of nuclear mass fits
• Improved radial basis function approach with the odd-even corrections
• Garvey-Kelson Relations for Nuclear Charge Radii
• New charge radius relations for atomic nuclei
• Impact of statistical uncertainties on the composition of the outer crust of a neutron star
• Correlations in Nuclear Masses
• What can be learned from binding energy differences about nuclear structure: the example of delta V_{pn}
• How good are the Garvey-Kelson predictions of nuclear masses?
• Nuclear Energy Density Functionals: What do we really know?
• Bounds on the presence of quantum chaos in nuclear masses
• Statistical learnability of nuclear masses
• Ground state energy fluctuations in the Nuclear Shell Model
• The impact of nuclear masses near $N=82$ on $r$-process abundances
• A semiclassical description of the Autocorrelations in Nuclear Masses