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Abstract
A sum rule for M1 transitions is derived and is found to be saturated with low11ing states in 6Li and 10B. This is consistent with a very small amount of supermultiplet impurity present in the ground state. For self-conjugate 4 N and conjugate 4 N ± 1 nuclei, using experimental data on ΔT = 1 M1 transitions from the ground to excited states, we are able to estimate the super-multiplet impurity present in the ground state. It is found that the amount of supermultiplet impurity reaches a maximum at the middle of the shell and decreases to zero at the beginning and at the end of the shell. Under the assumption that the giant magnetic dipole resonance dominates the sum rules we find a relation which predicts the excitation energy of the T = 0, J π = 1 + state in 12C to be 12 MeV as compared with the experimental value of 12.71 MeV.
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