  The creation of artificial gauge fields in neutral ultracold atom systems has
opened the possibility to study the effects of spin-orbit coupling terms in
clean environments. This work considers the multi-channel scattering properties
of two atoms confined by a wave guide in the presence of spin-orbit coupling
terms within a K-matrix scattering framework. The tunability of resonances,
induced by the interplay of the external wave guide geometry, the interactions,
and the spin-orbit coupling terms, is demonstrated. Our results for the
K-matrix elements as well as partial and total reflection coefficients for two
identical fermions interacting through a finite-range interaction potential in
the singlet channel only are compared with those obtained for a strictly
one-dimensional effective low- energy Hamiltonian, which uses the effective
coupling constant derived in Zhang et al. [Scientific Reports 4, 1 (2014)] and
Zhang et al. [Phys. Rev. A 88, 053605 (2013)] as input. In the regime where the
effective Hamiltonian is applicable, good agreement is obtained, provided the
energy- dependence of the coupling constant is accounted for. Our approach
naturally describes the energy regime in which the bands associated with
excited transverse modes lie below a subset of the bands associated with the
lowest transverse modes. The threshold behavior is discussed and scattering
observables are linked to bound state properties.
