Publication: Low-energy potential scattering in two and three dimensions
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Date
2009
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AIP Publishing
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Khuri, 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.
Abstract
Conditions 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.
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