Eur. Phys. J. A (2018) 54: 229
https://doi.org/10.1140/epja/i2018-12666-3

Regular Article - Theoretical Physics

Band mixing in ^{74, 76, 78}Kr

Department of Physics and Astronomy, University of Pennsylvania, 19104, Philadelphia, PA, USA

^* e-mail: fortune@physics.upenn.edu

Received: 12 November 2018
Accepted: 28 November 2018
Published online: 24 December 2018

Abstract

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