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Low-energy potential scattering in two and three dimensions

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-la...

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Detalles Bibliográficos
Autores principales: Khuri, N.N., Martin, Andre, Richard, Jean-Marc, Wu, Tai Tsun
Lenguaje:eng
Publicado: 2008
Materias:
Acceso en línea:https://dx.doi.org/10.1063/1.3167803
http://cds.cern.ch/record/1153027
Descripción
Sumario: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.