Extended M1 sum rule for excited symmetric and mixed-symmetry states in nuclei

Details Extended M1 sum rule for excited symmetric and mixed-symmetry states in nuclei Extended M1 sum rule for excited symmetric and mixed-symmetry states in nuclei

2001-08-10

arxiv.org/abs/nucl-th/0108025v2

Phys.Rev. C65 (2002) 024319

Physics

Nuclear Physics

Nuclear Theory

19 pages, 3 figures, Revtex

Scientific paper

10.1103/PhysRevC.65.024319

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 $nd(0^+_1)/nd(2^+_2) \approx 0.6$ is obtained in a largely parameter-independent way

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