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Journal of Mathematical Physics 50 (2009) 072105
Low-energy potential scattering in two and three dimensions
N.N. Khuri, A. Martin, J.-M. Richard1, T.T. Wu

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.
1 :  LPSC - Laboratoire de Physique Subatomique et de Cosmologie
Mathématiques/Physique mathématique

Physique/Physique mathématique
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