Like in earlier work by Schiffer et al, the effective interaction is derived from experimental two-body muttiplets. However, now the assumption is that a muttiplet state is formed by two unpaired fermions relative to a core of correlated J=0 pairs. Then the need for two ranges, as proposed by Schiffer, disappears for the force between identical nucleons in a model space which is large enough to include pairing correlations, A form with a single attractive medium range is preferred for the identical nucleon interaction in order to reproduce collective 2 + states in even-even nuclei. In contrast, the proton-neutron force requires a very short range or two ranges to reproduce the empirical values of multipole coefficients, observed in odd-odd nuclei. Therefore we discuss the fact that the effective interaction is not always isospin invariant. As a typical case broken-pair calculations in the N=50 region are considered. But the conclusions drawn, will also apply to other regions of the periodic table.
The broken-pair model is used to study the nature of collective pair structure in even nuclei and a possible connection with the interacting-boson model IBM-2. In our selfconsistent treatment there is no particle-hole ambiguity, such as has been reported in recent literature. We find that about four particles away from a closed shell, for both protons and neutrons, the collective 2 + (D-pair) structure becomes roughly independent of mass number due to the proton-neutron force. Only near the closed shell pronounced fermion configurations show up. The same is true for the 3-(F-pair). In lighter nuclei, the 20
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.