Abstract
Like in earlier work by Schiffer et al. the effective interaction is derived from experimental two-body multiplets. However, now the assumption is that a multiplet state is formed by two unpaired fermions relative to a core of correlatedJ=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 theN=50 region are considered. But the conclusions drawn, will also apply to other regions of the periodic table.
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The authors thank Dr. J. Idzko and Prof. K. Stelzer for presenting their data on92Nb prior to publication and for private communications. They thank also Prof. J.P. Schiffer, Prof. J.P. Elliott and Prof. E. Boeker for their comments on an earlier draft of this paper. This investigation was part of the research program of the “Stichting voor Fundamenteel Onderzoek der Materie (FOM)”, which is financially supported by the “Nederlandse Organisatie voor Zuiver Wetenschappelijk Onderzoek (ZWO)”.
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Akkermans, J.N.L., Allaart, K. The empirical form of the effective nucleon-nucleon interaction in a model space with correlatedJ=0 pairs. Z Physik A 304, 245–255 (1982). https://doi.org/10.1007/BF01414500
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DOI: https://doi.org/10.1007/BF01414500