Extended M1 sum rule for excited symmetric and mixed-symmetry states in nuclei
N. A. Smirnova, N. Pietralla, A. Leviatan, J. N. Ginocchio, C. Fransen
Abstract
A generalized M1 sum rule for orbital magnetic dipole strength from excited symmetric states to mixed-symmetry states is considered within the proton-neutron interacting boson model of even-even nuclei. Analytic expressions for the dominant terms in the B(M1) transition rates from the first and second 2+ states are derived in the U(5) and SO(6) dynamic symmetry limits of the model, and the applicability of a sum rule approach is examined at and in-between these limits. Lastly, the sum rule is applied to the new data on mixed-symmetry states of 94Mo and a quadrupole d-boson ratio nd(0+1)/nd(2+2) ≈ 0.6 is obtained in a largely parameter-independent way
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