Scattering observables in arbitrary dimensionn≥2

A rigorous theory for low-energy scattering in arbitrary dimension $n\ge 2$ with general, possibly long-range interactions is presented. Several applications are discussed. For $n=2\mathrm{}$, the question about the existence of scattering parameters is resolved and the important role of a parametrization of scattering observables in the study of adsorbed systems is illustrated. For $n=3\mathrm{}$, an analytic expansion of the phase shift and scattering length for charged-particle scattering around their neutral counterparts is derived, taking into account explicitly the finite extent of the charge.