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We theoretically investigate the confinement-induced resonance forquasi-one-dimensional quan- tum systems under transversely anisotropicconfinement, using a two-body s-wave scattering model in the zero-energycollision limit. We predict a single resonance for any transverse anisotropy,whose position shows a slight downshift with increasing anisotropy. We compareour prediction with the recent experimental result by Haller et al. [Phys. Rev.Lett. 104, 153203 (2010)], in which two resonances are observed in the presenceof transverse anisotropy. The discrepancy between theory and experiment remainsto be resolved.

Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement