  The two-body bound and scattering properties in an one-dimensional harmonic
waveguide close to free space magnetic Feshbach resonances are investigated
based on the local frame transformation approach within a single partial wave
approximation. An energy and magnetic field dependent free space phase shift is
adopted in the current theoretical framework. For both $s$- and $p$-wave
interaction, the least bound state in the waveguide dissociates into the
continuum at the resonant magnetic field where the effective one-dimensional
scattering length $a_{\rm 1D}$ diverges. Consequently, the association of atoms
into molecules in the waveguide occurs when the magnetic field is swept
adiabatically across the pole of $a_{\rm 1D}$. In the vicinity of broad
$s$-wave resonances, the resonant magnetic field is nearly independent on the
transverse confining frequency $\omega_{\perp}$ of the waveguide. Close to
$p$-wave and narrow $s$-wave resonances, the resonant magnetic field changes as
$\omega_{\perp}$ varies.
