Abstract
We investigate the correlation between integrated proton-neutron interactions obtained by using the up-to-date experimental data of binding energies and the product ${N}_{p}{N}_{n}$ of valence proton number and valence neutron number with respect to the nearest doubly closed nucleus. We make corrections on a previously suggested formula for the integrated proton-neutron interaction. Our results demonstrate a nice, nearly linear, correlation between the integrated $p$-$n$ interaction and ${N}_{p}{N}_{n}$, which provides us with a firm foundation of the applicability of the ${N}_{p}{N}_{n}$ scheme to nuclei far from the stability line.
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