Khuri, N. N.Martin, AndreRichard, J.-M.Wu, Tai2016-04-112009Khuri, N. N., Andre Martin, J.-M. Richard, and Tai Tsun Wu. 2009. “Low-Energy Potential Scattering in Two and Three Dimensions.” Journal of Mathematical Physics 50 (7): 072105. doi:10.1063/1.3167803.0022-2488http://nrs.harvard.edu/urn-3:HUL.InstRepos:26514973Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a function of the momentum is also derived for longer-range power-law potentials which do not fulfill these conditions.en-USJournal Article2016-04-1110.1063/1.3167803