On the Mass to Charge Ratio of Neutron Cores and Heavy Nuclei
arXiv:0804.2862 · doi:10.1063/1.2836985
Abstract
We determine theoretically the relation between the total number of protons and the mass number (the charge to mass ratio) of nuclei and neutron cores with the model recently proposed by Ruffini et al. (2007) and we compare it with other versus relations: the empirical one, related to the Periodic Table, and the semi-empirical relation, obtained by minimizing the Weizsäcker mass formula. We find that there is a very good agreement between all the relations for values of typical of nuclei, with differences of the order of per cent. Our relation and the semi-empirical one are in agreement up to ; for higher values, we find that the two relations differ. We interprete the different behaviour of our theoretical relation as a result of the penetration of electrons (initially confined in an external shell) inside the core, that becomes more and more important by increasing ; these effects are not taken into account in the semi-empirical mass-formula.
Some misprints of the published version corrected (value of nuclear density and eq. 7). Talk given at the 4th Italian-Sino Workshop, July 20-30 (2007), Pescara (Italy)