We consider coherently coupled bosonic mixtures scattering at low energies in the presence of an external confinement along either one or two directions. We exactly solve the two-body scattering problem, showing that for large Rabi coupling the confinement-induced resonance can be displaced towards scattering lengths much smaller than the oscillator length. Our results make the observation of confinement-induced resonances more tunable and accessible, offering yet another handle for the efficient control of strong interactions in ultracold quantum gases.

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• Bose-Bose mixtures
• Scattering theory
• Atomic gases
• Bose-Einstein condensates
• Ultracold gases
• Confinement-induced resonance
• Schroedinger equation