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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...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
2008
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1063/1.3167803 http://cds.cern.ch/record/1153027 |
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. |
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