Heavy nuclide synthesis by neutrons in astrophysics and by screened protons in host metals

The similarity of the abundance of heavy nuclei in the Universe with that o f the nuclei produced in the fully reproducible reactions of protons in hos t metals like palladium, nickel or others is evident and can be described b y the same exponential function of the distribution probability N(Z) depend ing on the proton number Z of the nuclides. This agrees with the earlier de rived consequence of a 3(n) relation for magic numbers and an alternative f oundation of the nuclear shell model. Compared to femtometer-attosecond rea ctions in the big bang, the low energy nuclear reactions in the host metals have picometer distances and megasecond duration. For this picometer dista nce, a combination of the swimming electron layer and Debye screening model with a metal-plasma dielectric model is presented.