Pion-pion phase shifts from covariant perturbation theory for a chiral invariant field theoretic model

The Lehmann model for pion-pion scattering consists of a low-energy expansion of the scattering amplitude to fourth order in the momenta on the basis of the chiral-invariant pion-nucleon Lagrangian. Because of the non-renormalizability of the pion Lagrangian two parameters remain undetermined in the...

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Detalles Bibliográficos
Autores principales: Ecker, G, Honerkamp, J
Lenguaje:eng
Publicado: 1973
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(73)90097-7
http://cds.cern.ch/record/880791
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author Ecker, G
Honerkamp, J
author_facet Ecker, G
Honerkamp, J
author_sort Ecker, G
collection CERN
description The Lehmann model for pion-pion scattering consists of a low-energy expansion of the scattering amplitude to fourth order in the momenta on the basis of the chiral-invariant pion-nucleon Lagrangian. Because of the non-renormalizability of the pion Lagrangian two parameters remain undetermined in the pion-loop contribution. Using covariant perturbation theory and superpropagator methods the authors calculate these two parameters independently of the choice of the pion field coordinates. The resulting phase shifts are shown to be in very good agreement with the data. (17 refs).
id cern-880791
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1973
record_format invenio
spelling cern-8807912019-09-30T06:29:59Zdoi:10.1016/0550-3213(73)90097-7http://cds.cern.ch/record/880791engEcker, GHonerkamp, JPion-pion phase shifts from covariant perturbation theory for a chiral invariant field theoretic modelParticle Physics - TheoryThe Lehmann model for pion-pion scattering consists of a low-energy expansion of the scattering amplitude to fourth order in the momenta on the basis of the chiral-invariant pion-nucleon Lagrangian. Because of the non-renormalizability of the pion Lagrangian two parameters remain undetermined in the pion-loop contribution. Using covariant perturbation theory and superpropagator methods the authors calculate these two parameters independently of the choice of the pion field coordinates. The resulting phase shifts are shown to be in very good agreement with the data. (17 refs).CERN-TH-1573oai:cds.cern.ch:8807911973
spellingShingle Particle Physics - Theory
Ecker, G
Honerkamp, J
Pion-pion phase shifts from covariant perturbation theory for a chiral invariant field theoretic model
title Pion-pion phase shifts from covariant perturbation theory for a chiral invariant field theoretic model
title_full Pion-pion phase shifts from covariant perturbation theory for a chiral invariant field theoretic model
title_fullStr Pion-pion phase shifts from covariant perturbation theory for a chiral invariant field theoretic model
title_full_unstemmed Pion-pion phase shifts from covariant perturbation theory for a chiral invariant field theoretic model
title_short Pion-pion phase shifts from covariant perturbation theory for a chiral invariant field theoretic model
title_sort pion-pion phase shifts from covariant perturbation theory for a chiral invariant field theoretic model
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(73)90097-7
http://cds.cern.ch/record/880791
work_keys_str_mv AT eckerg pionpionphaseshiftsfromcovariantperturbationtheoryforachiralinvariantfieldtheoreticmodel
AT honerkampj pionpionphaseshiftsfromcovariantperturbationtheoryforachiralinvariantfieldtheoreticmodel

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