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...

Descripción completa

Detalles Bibliográficos
Autores principales: Khuri, N.N., Martin, Andre, Richard, Jean-Marc, Wu, Tai Tsun
Lenguaje:eng
Publicado: 2008
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1063/1.3167803
http://cds.cern.ch/record/1153027
_version_ 1780915717295570944
author Khuri, N.N.
Martin, Andre
Richard, Jean-Marc
Wu, Tai Tsun
author_facet Khuri, N.N.
Martin, Andre
Richard, Jean-Marc
Wu, Tai Tsun
author_sort Khuri, N.N.
collection CERN
description 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.
id cern-1153027
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
record_format invenio
spelling cern-11530272023-03-14T19:51:06Zdoi:10.1063/1.3167803http://cds.cern.ch/record/1153027engKhuri, N.N.Martin, AndreRichard, Jean-MarcWu, Tai TsunLow-energy potential scattering in two and three dimensionsMathematical Physics and MathematicsConditions 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.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.arXiv:0812.4054CERN-PH-TH-2009-119oai:cds.cern.ch:11530272008-12-23
spellingShingle Mathematical Physics and Mathematics
Khuri, N.N.
Martin, Andre
Richard, Jean-Marc
Wu, Tai Tsun
Low-energy potential scattering in two and three dimensions
title Low-energy potential scattering in two and three dimensions
title_full Low-energy potential scattering in two and three dimensions
title_fullStr Low-energy potential scattering in two and three dimensions
title_full_unstemmed Low-energy potential scattering in two and three dimensions
title_short Low-energy potential scattering in two and three dimensions
title_sort low-energy potential scattering in two and three dimensions
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1063/1.3167803
http://cds.cern.ch/record/1153027
work_keys_str_mv AT khurinn lowenergypotentialscatteringintwoandthreedimensions
AT martinandre lowenergypotentialscatteringintwoandthreedimensions
AT richardjeanmarc lowenergypotentialscatteringintwoandthreedimensions
AT wutaitsun lowenergypotentialscatteringintwoandthreedimensions

Ejemplares similares