Low-energy behavior of few-particle scattering amplitudes in two dimensions

Página do item simplificado
dc.contributor.authorAdhikari, Sadhan K. [UNESP]
dc.contributor.authorGibson, William G.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionSchool of Mathematics and Statistics, University of Sydney
dc.date.accessioned2022-04-28T20:40:09Z
dc.date.available2022-04-28T20:40:09Z
dc.date.issued1992-01-01
dc.description.abstractA study of the analytic behavior of different few-particle scattering amplitudes at low energies in two space dimensions is presented. Such a study is of use in modeling and understanding different few-particle processes at low energies. A detailed discussion of the energy and the momentum dependence of the partial-wave on-the-energy-shell and off-the-energy-shell two-particle t matrices is given. These t-matrix elements tend to zero as the energy and momentum variables tend to zero. The multiple-scattering series is used to show that the connected three-to-three amplitudes diverge in the low-energy-momentum limit. Unitarity relations are used to show that the connected two-to-three and one-to-three amplitudes have specific logarithmic singularities at the m-particle breakup threshold. The subenergy singularity in the two-to-three amplitudes is also studied, and comments are made on some applications of the present study in different problems of physical interest. © 1992 The American Physical Society.en
dc.description.affiliationInstituto de Física Terica, Universidade Estadual Paulista, 01405 Sao Paulo, Sao Paulo
dc.description.affiliationSchool of Mathematics and Statistics, University of Sydney, Sydney, NSW
dc.description.affiliationUnespInstituto de Física Terica, Universidade Estadual Paulista, 01405 Sao Paulo, Sao Paulo
dc.format.extent3967-3977
dc.identifierhttp://dx.doi.org/10.1103/PhysRevA.46.3967
dc.identifier.citationPhysical Review A, v. 46, n. 7, p. 3967-3977, 1992.
dc.identifier.doi10.1103/PhysRevA.46.3967
dc.identifier.issn1050-2947
dc.identifier.scopus2-s2.0-4243557845
dc.identifier.urihttp://hdl.handle.net/11449/225130
dc.language.isoeng
dc.relation.ispartofPhysical Review A
dc.sourceScopus
dc.titleLow-energy behavior of few-particle scattering amplitudes in two dimensionsen
dc.typeArtigo

Arquivos

Coleções

Artigos - Instituto de Física Teórica (IFT)