Analysis of PCAC constraints in a dispersive approach to off-mass shell pi pi scattering

A one-parameter set of pi pi amplitudes fulfilling general on-shell constraints is extrapolated off the mass shell of one pion by means of the dispersive method suggested by Basdevant and Hayot (see Phys. Lett., vol.36B, p.375, 1971). The ability of PCAC to restrict this class of amplitudes is inves...

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Detalles Bibliográficos
Autores principales: Bonnier, B, Johannesson, N
Lenguaje:eng
Publicado: 1975
Materias:
Particle Physics - Theory
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1007/BF02734529
http://cds.cern.ch/record/697599
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author Bonnier, B
Johannesson, N
author_facet Bonnier, B
Johannesson, N
author_sort Bonnier, B
collection CERN
description A one-parameter set of pi pi amplitudes fulfilling general on-shell constraints is extrapolated off the mass shell of one pion by means of the dispersive method suggested by Basdevant and Hayot (see Phys. Lett., vol.36B, p.375, 1971). The ability of PCAC to restrict this class of amplitudes is investigated within some given criteria for the smoothness in the off-shell mass dependence. It is found in particular that the requirements of maximal smoothness selects some neighbourhood of Wienberg's solution (O<or=a/sub 0//sup 0/<or=0.4). (18 refs).
id cern-697599
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1975
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spelling cern-6975992019-09-30T06:29:59Zdoi:10.1007/BF02734529http://cds.cern.ch/record/697599engBonnier, BJohannesson, NAnalysis of PCAC constraints in a dispersive approach to off-mass shell pi pi scatteringParticle Physics - TheoryParticle Physics - PhenomenologyA one-parameter set of pi pi amplitudes fulfilling general on-shell constraints is extrapolated off the mass shell of one pion by means of the dispersive method suggested by Basdevant and Hayot (see Phys. Lett., vol.36B, p.375, 1971). The ability of PCAC to restrict this class of amplitudes is investigated within some given criteria for the smoothness in the off-shell mass dependence. It is found in particular that the requirements of maximal smoothness selects some neighbourhood of Wienberg's solution (O<or=a/sub 0//sup 0/<or=0.4). (18 refs).CERN-TH-1969oai:cds.cern.ch:6975991975-01-24
spellingShingle Particle Physics - Theory
Particle Physics - Phenomenology
Bonnier, B
Johannesson, N
Analysis of PCAC constraints in a dispersive approach to off-mass shell pi pi scattering
title Analysis of PCAC constraints in a dispersive approach to off-mass shell pi pi scattering
title_full Analysis of PCAC constraints in a dispersive approach to off-mass shell pi pi scattering
title_fullStr Analysis of PCAC constraints in a dispersive approach to off-mass shell pi pi scattering
title_full_unstemmed Analysis of PCAC constraints in a dispersive approach to off-mass shell pi pi scattering
title_short Analysis of PCAC constraints in a dispersive approach to off-mass shell pi pi scattering
title_sort analysis of pcac constraints in a dispersive approach to off-mass shell pi pi scattering
topic Particle Physics - Theory
Particle Physics - Phenomenology
url https://dx.doi.org/10.1007/BF02734529
http://cds.cern.ch/record/697599
work_keys_str_mv AT bonnierb analysisofpcacconstraintsinadispersiveapproachtooffmassshellpipiscattering
AT johannessonn analysisofpcacconstraintsinadispersiveapproachtooffmassshellpipiscattering

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