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

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

19 pages, 3 figures, Revtex

References in corpus (5)

• Transition Rates between Mixed Symmetry States: First Measurement in 94Mo
• Shell model description of "mixed-symmetry" states in 94Mo
• Quadrupole shape invariants in the interacting boson model
• Interrelation between the isoscalar octupole phonon and the proton-neutron mixed-symmetry quadrupole phonon in near spherical nuclei
• F-spin as a Partial Symmetry

Cited by in corpus (3)

• Partial Dynamical Symmetries
• Microscopic Restoration of Proton-Neutron Mixed Symmetry in Weakly Collective Nuclei
• Correlations between charge radii, E0 transitions, and M1 strength