Abstract
We develop a theoretical framework for the quasi-low-dimensional confinement-induced resonances (CIRs) of particles with the arbitrary three-dimensional two-body interactions, based on the Huang-Yang pseudopotential and the treatment of Feshbach resonances. Using this new approach, we analytically obtain some universal properties of dipolar CIRs in quasi-one-dimensional (1D) waveguides. We also show that the dipolar CIRs can be induced by tuning the angle between the dipole moments and the waveguide, which is experimentally observable in quasi-1D Cr and Dy atomic gases. We expect that these tilting angle induced CIRs will open up a new simpler way to control the resonant scatterings in quasi-low-dimensional systems.
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