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Low-energy potential scattering in two and three dimensions

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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http://hal.in2p3.fr/in2p3-00350148
Contributor : Emmanuelle Vernay <>
Submitted on : Tuesday, January 6, 2009 - 9:36:06 AM
Last modification on : Thursday, November 19, 2020 - 12:59:02 PM

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N.N. Khuri, A. Martin, J.-M. Richard, T.T. Wu. Low-energy potential scattering in two and three dimensions. Journal of Mathematical Physics, American Institute of Physics (AIP), 2009, 50, pp.072105. ⟨10.1063/1.3167803⟩. ⟨in2p3-00350148⟩

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