Impacts of octupole correlations on the low-lying $0^{+}$ states and two-neutron transfer intensities in rare-earth nuclei are investigated in terms of the interacting boson model that is based on the nuclear density functional theory. The octupole degrees of freedom are not only essential building blocks to describe properties of negative-parity states in the model, but also influence low-spin positive-parity states including excited $0^{+}$ states. The calculation produces a large number of low-energy $0^{+}$ states that contain significant amounts of octupole components, indicating important roles played by the octupole degrees freedom in this mass region. Octupole correlations are shown to make sizable contributions to the $(p,t)$ and $(t,p)$ transfer intensities and, in particular, to reproduce the discontinuous changes of these quantities near those nuclei with $N\approx 88$ or 90, which are observed experimentally as a signature of the shape phase transition.

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• Collective levels
• Electromagnetic transitions
• Nuclear structure & decays
• Transfer reactions
• 150 ≤ A ≤ 189
• 90 ≤ A ≤ 149
• Models based on symmetries
• Nuclear density functional theory