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arXiv · 0812.4054

Low-energy potential scattering in two and three dimensions

N. N. Khuri·Andre Martin·Jean-Marc Richard·Tai Tsun Wu
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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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N. N. Khuri, Andre Martin, Jean-Marc Richard, Tai Tsun Wu. 2009-06-10. Low-energy potential scattering in two and three dimensions. https://doi.org/10.1063/1.3167803

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