Microscopic versus empirical effective interactions in a single j shell

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Abstract

Effective-interaction matrix elements within a single j shell can be determined directly from experimental data. Such matrix elements have been found to be much different from those calculated microscopically within a complete major shell. The recent work of Moszkowski et al. showed that this difference is at least partially due to the severe truncation to a single j shell. We have constructed the microscopic effective interaction for a single j shell using two different methods: (1) simple perturbation theory and (2) explicit projection from the full major shell to a single j shell. We conclude that the empirical matrix elements and the full major-shell matrix elements should not agree, since the model spaces are different. On top of this the empirical values and the microscopic results for a single j shell would be expected to be similar only when the configurations |(j2)JT are very pure. NUCLEAR STRUCTURE Effective interactions, empirical and microscopic, in a single j shell; importance of model space size and of configuration purity.

Original languageEnglish (US)
Pages (from-to)1926-1929
Number of pages4
JournalPhysical Review C
Volume20
Issue number5
DOIs
StatePublished - Jan 1 1979

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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