Detailed illustration of accuracy of presently used nuclear-mass models

Abstract

The accuracy of description of measured nuclear masses by presently used nuclear-mass models is studied. Twelve models of various kinds are considered, eleven of the global character and one local model specially adapted to description of heavy nuclei. To decrease the number of nuclei over which the accuracy is averaged, the global region (Z,N >= 8) is divided into four subregions, in which the accuracy is studied separately. Still, to reach the best precision, the accuracy is finally investigated without any averaging, for each nucleus separately. The results are presented in a form of colored maps, large enough to be easily and accurately read. Besides the accuracy of the studied models, also their predictive power is considered. It is found that the accuracy of description of mass strongly depends on a nuclear-mass model and on the region of nuclei to which the model is applied. The best accuracy is obtained by the recent two Chinese models WS3+ and WS4+. Generally, no clear, strong correlation between the accuracy of description of already known masses by a given model and its predictive power for new masses is observed. Still, such correlation is found for separate models and in separate regions of nuclei. More often for the macroscopic-microscopic models than for the other approaches.

arXiv comment70 pages

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• Mass measurements for $T_z=-2$ $fp$-shell nuclei ${}^{40}$Ti, ${}^{44}$Cr, ${}^{46}$Mn, ${}^{48}$Fe, ${}^{50}$Co and ${}^{52}$Ni
• Distinguishing fission-like events from deep-inelastic collisions
• High Precision Binding Energies from Physics Informed Machine Learning
• Explosive Nucleosynthesis: What we learned and what we still do not understand
• Limitations of the Geiger-Nuttall Law in heavy cluster decay
• Further exploration of binding energy residuals using machine learning and the development of a composite ensemble model
• Bayesian model mixing with multi-reference energy density functional