Proton-Metal Reactions in Thin Films with Boltzmann Distribution Similar to Nuclear Astrophysics

The proton reactions in host metals like palladium, nickel, or titanium generate elements up to a proton number Z = 82 (lead), where the generation probability follows a kind of Boltzmann distribution. This is very similar to the standard abundance distribution of the elements in the universe for heavy elements. The analogy leads to a relation to the magic numbers of the nuclear shell model, to its alternative (more general) foundation on the Bagge series contrary to the spin model of Jensen and Goeppert-Mayer, and to new large magic numbers in agreement with Greiner et al.'s results on superheavy elements.