The ``tilted wobbler" in $^{167}$Ta

The exotic wobbling mode (which is direct experimental confirmation of asymmetric nuclear shapes) has now been observed in $^{163,165,167}$Lu and $^{167}$Ta. Particle-rotor model calculations have successfully described the transition strength ratios between the wobbling band and the $\pi i_{13/2}$ sequence upon which it is based [1]. However, assumptions made in this model suggest that the wobbling band should increase in energy (with respect to the $\pi i_{13/2}$ band) with spin. This is in direct contrast to what is systematically observed in experiments. Using a different set of assumptions within the particle-rotor model, the transition strength ratios can be reproduced while also predicting correctly the reduction in the energy splitting between the bands with increasing spin.\\[4pt] [1] I. Hamamoto and G.B. Hagemann, Phys. Rev. C 67, 014319 (2003).