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Band mixing in 74, 76, 78Kr

  • H. T. FortuneEmail author
Regular Article - Theoretical Physics
  • 27 Downloads

Abstract.

A simple two-state mixing model has been applied to members of the two rotational bands containing the two lowest \( 0^{+}\) states in 74, 76, 78Kr . For each even angular momentum J , two physical states are taken to be linear combinations of basis states \( J_{g}\) and \( J_{e}\) . Mixing amplitudes are varied in order to reproduce E2 transition matrix elements. Unique solutions are found for the \( 0^{+}\) and \( 2^{+}\) mixing in all three cases, and for the E2 matrix elements connecting the basis states. The basis-state band containing basis state \( 0_{g}\) is found to be much more collective than the one containing \( 0_{e}\) in 74, 78Kr , and somewhat more collective in 76Kr . From the fit, the amount of basis state \( J_{e}\) in the lower of the two physical J states decreases very rapidly with increasing J . The \( 2^{+}\) wave functions from the fit are used to compute matrix elements for \( 4\leftrightarrow 2\) transitions, some of which are unknown. A sign discrepancy is noted for the \( 2_{2}\rightarrow 4_{1}\) transition matrix element in 74Kr .

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUniversity of PennsylvaniaPhiladelphiaUSA

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