Abstract
It is attempted to improve the description of the collective 2+ and 3− states in even single closed-shell nuclei by using a “realistic” effective interaction based on the Reid soft core potential, instead of the Gaussian forces which are commonly used. As an example the Sn isotopes are considered.
The results of the Reid force are not better than those of the Gaussian are. The too large excitation-energies of the collective 2+ and 3− states found earlier, apparently are not due to particular features of the Gaussian effective forces used. Explicit admixture of a quadrupole and an octupole part in the effective interaction does improve the description of the collective 2+ and 3− states, but it makes the description of the other excited states worse.
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We thank Prof. Dr. E. Boeker and Dr. K. Allaart for stimulating discussions and a critical reading of the manuscript. This investigation is 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 (Z.W.O.).
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van Gunsteren, W.F., Hofstra, P. & Müther, H. Influence of the effective interaction on spectra of superfluid nuclei. Z Physik A 278, 251–255 (1976). https://doi.org/10.1007/BF01409175
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DOI: https://doi.org/10.1007/BF01409175