On the Mass to Charge Ratio of Neutron Cores and Heavy Nuclei

Barbara Patricelli; Michael Rotondo; Remo Ruffini

doi:10.1063/1.2836985

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arXiv · 0804.2862

On the Mass to Charge Ratio of Neutron Cores and Heavy Nuclei

Barbara Patricelli·Michael Rotondo·Remo Ruffini

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Abstract

We determine theoretically the relation between the total number of protons $N_{p}$ and the mass number $A$ (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 $N_p$ versus $A$ 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 $A$ typical of nuclei, with differences of the order of per cent. Our relation and the semi-empirical one are in agreement up to $A\sim 10^4$; 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 $A$; these effects are not taken into account in the semi-empirical mass-formula.

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Barbara Patricelli, Michael Rotondo, Remo Ruffini. 2008-04-17. On the Mass to Charge Ratio of Neutron Cores and Heavy Nuclei. https://doi.org/10.1063/1.2836985

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