The wobbling mode is uniquely related to rotation of a triaxial body. The Lu--Hf isotopes with N\sim 94 provides a possible region of nuclei with pronounced triaxiality. We have investigated 163Lu through the fusion-evaporation reaction 139La(29Si,5 n)163Lu with a beam energy of 152 MeV. The electromagnetic properties of several connecting transitions between two presumably Triaxial, SuperDeformed (TSD) bands have been studied. New particle-rotor calculations in which an aligned i13/2 proton is coupled to a ``wobbling'' core are presented and evidence for the assignment of the excited TSD band as a wobbling mode built on the yrast TSD band in 163Lu is given.
PACS numbers: 21.10.--k, 23.20.Lv, 25.70.Gh, 27.60.+j
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