Soft triaxial rotovibrational motion in the vicinity of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>γ</mml:mi><mml:mo>=</mml:mo><mml:mi>π</mml:mi><mml:mo>∕</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:math>

A solution of the Bohr collective Hamiltonian for the $\ensuremath{\beta}$-soft, $\ensuremath{\gamma}$-soft triaxial rotor with $\ensuremath{\gamma}\ensuremath{\sim}\ensuremath{\pi}∕6$ is presented making use of a harmonic potential in $\ensuremath{\gamma}$ and Coulomb-like and Kratzer-like potentials in $\ensuremath{\beta}$. It is shown that, while the $\ensuremath{\gamma}$-angular part in the present case gives rise to a straightforward extension of the rigid triaxial rotor energy in which an additive harmonic term appears, the inclusion of the $\ensuremath{\beta}$ part results instead in a nontrivial expression for the spectrum. The negative anharmonicities of the energy levels with respect to a simple rigid model are in qualitative agreement with general trends in the experimental data.

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