Calculation ofM1transition rates at high spin in axial nuclei

A method is proposed for applying the cranking model to the calculation of M1 transition rates between high spin states. The accuracy is checked by comparing numerical results with recent high-spin data for ${}_{}{}^{165}{}_{}{}^{}\mathrm{Lu}$, which provides a critical test, and with a physically equivalent three-quasiparticle plus rotor calculation. The nucleus ${}_{}{}^{81}{}_{}{}^{}\mathrm{Kr}$ is also considered. The behavior of the M1 rates at high spin is qualitatively and semiquantitatively reproduced.