zeta function and $\Gamma(\cdot)$ are some combinatorial constants containing the Wigner $3j$-symbols. Equation is discussed in more detail in [@hess2014]. The dimensionless, channel-normalized energy ${\epsilon}$ is defined by the relation $E=2\hbar{\omega_{\perp}}({\epsilon}+\frac{1}{2})$, which is chosen such that $n\le{\epsilon}\le n+1$ is between the threshold of th $n$-th and the $(n+1)$-th channel. We note, that $n_{o}=\lfloor{\epsilon}\rfloor+1$ is the number of open channels, where $\lfloor{\epsilon}\rfloor$ denotes the largest integer smaller than ${\epsilon}$. The representation of Eq. , which differs from the one introduced in [@hess2014], is in particular useful when considering the threshold singularities below. One further remark is in order, which refers to the second argument of the Hurwitz zeta function. This argument is given by ${\epsilon_{c}}=n_{o}-{\epsilon}=1-{\Delta\epsilon}$, where ${\Delta\epsilon}={\epsilon}-\lfloor{\epsilon}\rfloor$ denotes the fraction of the total collision energy above the threshold of the last open channel rendering $\zeta_{H}$ periodic with a saw-tooth like behavior.

Throughout the following analysis the energy ranges up to ${\epsilon}=4$, passing several channel thresholds of the transverse confinement. We note that all these energies lie close to the threshold of the interatomic potential and thus the analytic solutions [@gao2009single] for our interatomic potential are applicable.

Scattering observables {#sec:scattering_observables}
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In the asymptotics of the scattering process the transversal and longitudinal 