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The neutron-rich nuclei $^{109}$Pd and $^{111}$Pd were produced as fissionfragments following the $^{30}$Si + $^{168}$Er reaction at 142 MeV. Using theidentification based on the coincidences with the complementary fissionfragments, the only positive-parity bands observed so far in $^{109}$Pd and$^{111}$Pd emerged from this work. A band, built on top of the 5/2$^+$ groundstate exhibiting $\Delta I$ = 1 energy-level staggering, was observed in eachof these nuclei. Both nuclei of interest, $^{109}$Pd and $^{111}$Pd, aresuggested to lie in the transitional region of Pd isotopes of maximum$\gamma$-softness. The ground states of both nuclei are predicted by TRScalculations to be extremely $\gamma$-soft with shallow triaxial minima. Thefirst crossing in the new bands is proposed to be due to an alignment of$h^2_{11/2}$ neutrons.

Observation of Positive-Parity Bands in $^{109}$Pd and $^{111}$Pd: Enhanced $\gamma$-Softness