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Microscopic Calculations of Nuclear Wobbling Rotation

High-K rotational bands may correspond to classical wobbling, which is a more complex motion than rotation around an intrinsic axis and therefore can in general not be described by the cranking model. Two microscopic models of wobbling are developed and found to give compatible results. One diagonalizes the response of a valence shell to a wobbling rotational core. The other is RPA with the field F ∼ [HN,J+], which turns out to be a major improvement over F ∼ r2Y21 employed in previous calculations. General features seem to be ℱ < ℱrigid or under many circumstances a fragmentation of the collective mode. The highest-K data available, from a recent experiment on 179W, are reproduced without parameter fitting. Recent quasicontinuum data on 158Yb are discussed.