  In this letter we consider dipolar quantum gases in a quasi-one-dimensional
tube with dipole moment perpendicular to the tube direction. We deduce the
effective one-dimensional interaction potential and show that this potential is
not purely repulsive, but rather has an attractive part due to high-order
scattering processes through transverse excited states. The attractive part can
induce bound state and cause scattering resonances. This represents the dipole
induced resonance in low-dimension. We work out an unconventional behavior of
low-energy phase shift for this effective potential and show how it evolves
across a resonance. Based on the phase shift, the interaction energy of
spinless bosons is obtained using asymptotic Bethe ansatz. Despite of
long-range nature of dipolar interaction, we find that a behavior similar as
short-range Lieb-Linger gas emerges at the resonance regime.

Quantum Gases