We determine theoretically the relation between the total number of protons Np 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 Np 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∼104; 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. © 2008 American Institute of Physics.
On the Charge to Mass Ratio of Neutron Cores and Heavy / Ruffini, Remo; Rotondo, M; Patricelli, B.. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - 966:(2008), pp. 143-146. (Intervento presentato al convegno 4th italian-Sino Workshop tenutosi a Pescara; Italy nel 20-30 July 2007) [10.1063/1.2836985].
On the Charge to Mass Ratio of Neutron Cores and Heavy
RUFFINI, Remo;
2008
Abstract
We determine theoretically the relation between the total number of protons Np 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 Np 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∼104; 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. © 2008 American Institute of Physics.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
