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dc.contributor.author
Gasaneo, Gustavo
dc.contributor.author
Ancarani, L. U.
dc.date.available
2019-01-29T16:29:43Z
dc.date.issued
2009-12
dc.identifier.citation
Gasaneo, Gustavo; Ancarani, L. U.; Treatment of the two-body Coulomb problem as a short-range potential; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 80; 6; 12-2009; 062717/1-062717/11
dc.identifier.issn
1050-2947
dc.identifier.uri
http://hdl.handle.net/11336/68862
dc.description.abstract
The scattering wave function and the transition amplitude for the two-body Coulomb problem are written as power series of the Sommerfeld parameter. Making use of a mathematical study of the nth derivatives of Kummer function with respect to its first parameter, the series coefficients are expressed analytically in terms of multivariable hypergeometric functions. We establish the connection with the Born series based on the free particle Green's function and show its applicability to long-range potentials. We also relate our analysis to recent works on the distorted-wave theory for the Coulomb problem. For the transition amplitude, the Born series is presented and compared to the series obtained from the exact well-known Rutherford result. Since the two series differ, care must be taken when extracting the relevant information about the scattering. Finally, implications for three-body problems are discussed.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Coulomb Interactions
dc.subject
Born Series
dc.subject.classification
Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Treatment of the two-body Coulomb problem as a short-range potential
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-01-23T14:53:35Z
dc.journal.volume
80
dc.journal.number
6
dc.journal.pagination
062717/1-062717/11
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Gasaneo, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
dc.description.fil
Fil: Ancarani, L. U.. Université Paul Verlaine-Metz; Francia
dc.journal.title
Physical Review A: Atomic, Molecular and Optical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.80.062717
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevA.80.062717
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