Quantum confined scattering beyond the s-wave approximation

A dual confinement induced resonance effect first observed numerically in a paper predicts the possibility of suppressing the effective two-body interaction in a quasi-one dimensional (1D) cylindrical geometry. Here this low dimensionality effect is analytically modeled by applying a previous formalism to treat low energy quantum scattering processes under tight confinement. This analytic formalism is improved in order to account non-perturbatively for the three dimensional (3D) scattering phase shift l=1 for a given spherically symmetric interaction potential between distinguishable colliding particles. The role of the confinement on the scattering properties can then be systematically calculated up to the p-wave. (author)