Scissors mode from a different perspective

The scissors mode, a magnetic dipole excitation-mainly orbital, is usually discussed in terms of a transition from a $J=0^{+}$ ground state to a $J=1^{+}$ excited state. This is understandable because it follows from the way the experiment is performed, e.g., inelastic electron scattering. Here, however, we start with the excited $1^{+}$ state and consider all possible transitions to $J=0^{+},1^{+},$ and $2^{+}$ states with final isospins. There is a larger transition to the $0_2^{+}$ state than to ground. This has a much richer structure. We note that the “sum of sums” is independent of the interaction.

Figure 1

Strong $B\left(M1\right)$ diagrams.