  New rotational bands built on the $\nu$$(h_{11/2})$ configuration have been
identified in $^{105}$Pd. Two bands built on this configuration show the
characteristics of transverse wobbling: the $\Delta$$I$=1 transitions between
them have a predominant E2 component and the wobbling energy decreases with
increasing spin. The properties of the observed wobbling bands are in good
agreement with theoretical results obtained using constrained triaxial
covariant density functional theory and quantum particle rotor model
calculations. This provides the first experimental evidence for transverse
wobbling bands based on a one-neutron configuration, and also represents the
first observation of wobbling motion in the $A$$\sim$100 mass region.
