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dc.contributor.author
Macek, J. H.
dc.contributor.author
Ovchinnikov, S. Yu
dc.contributor.author
Gasaneo, Gustavo
dc.date.available
2019-04-08T19:58:16Z
dc.date.issued
2006-12
dc.identifier.citation
Macek, J. H.; Ovchinnikov, S. Yu; Gasaneo, Gustavo; Exact solution for three particles interacting via zero-range potentials; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 73; 3; 12-2006; 1-14
dc.identifier.issn
1050-2947
dc.identifier.uri
http://hdl.handle.net/11336/73475
dc.description.abstract
Exact solutions for three identical bosons interacting via zero-range s -wave potentials are derived. The solutions are contour integrals over a product of hyperradial Bessel functions times angular functions weighted by a coefficient. The product function is a solution of the free-particle Schrödigner equation and the weight function is chosen to satisfy the zero-range boundary conditions. Scattering matrix elements for boson-dimer elastic scattering, breakup of a dimer into three particles and the time-reversed recombination process are derived. For vanishing total energy E, these quantities are given as closed-form functions of the two-body s -wave scattering length a and a three-body renormalization constant R0. The exact results obtained by this method are compared with those obtained using other methods. Differences in the functional dependence on R0 of the order of 2% are noted. Comparison with the hidden-crossing theory finds similar agreement with the functional dependence upon a and R0.
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.classification
Física Atómica, Molecular y Química
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Exact solution for three particles interacting via zero-range potentials
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-03-15T19:22:29Z
dc.journal.volume
73
dc.journal.number
3
dc.journal.pagination
1-14
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Macek, J. H.. University of Tennessee; Estados Unidos
dc.description.fil
Fil: Ovchinnikov, S. Yu. University of Tennessee; Estados Unidos
dc.description.fil
Fil: Gasaneo, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Física; Argentina
dc.journal.title
Physical Review A: Atomic, Molecular and Optical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevA.73.032704
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.73.032704
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