of the principles of CIR and suggesting a variety of systems where CIRs can emerge. These efforts include works on different waveguide geometries [@petrov2001; @pricoupenko2006; @idziaszek2006; @peano2005; @sala2012; @peng2011; @zhang2013quasi1dscatt], resonant molecule formation [@melezhik2009], transparency induced by the confinement [@kim2006; @hess2014], CIRs in mixed dimensions and multiple open channels [@saeidian2008; @melezhik2011; @nishida2010], the coupling of various partial waves due to the confinement [@giannakeas2012], or atomic scattering with anisotropic interactions [@sinha2007; @giannakeas2013]. Alongside with these studies we also want to mention recent investigations on ultracold quantum gases on atom chips [@buecker2011; @buecker2012; @vanfrank2014] where excited transversal modes of the confinement are utilized in order to prepare entangled atom clouds.

The focus of the present study is the two-body multi-mode scattering behavior of atoms in the presence of an axially symmetric and harmonic waveguide. In addition to the treatment of bosonic and spin-polarized fermionic collisions, we also provide a theoretical description of the collisional properties of distinguishable particles, for which even and odd partial waves contribute. Similar to preceding studies [@giannakeas2012; @hess2014], the particles are allowed to interact with higher partial waves. The constraint of colliding with energies below the excitation energy of the first excited transversal state is however lifted in 