Derivative dispersion relations above the physical threshold

Detalhes bibliográficos
Autor(a) principal: Ávila,R. F.
Data de Publicação: 2007
Outros Autores: Menon,M. J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300006
Resumo: We discuss some formal and practical aspects related to the replacement of Integral Dispersion Relations (IDR) by derivative forms, without high-energy approximations. We first demonstrate that, for a class of functions with physical interest as forward scattering amplitudes, this replacement can be analytically performed, leading to novel Extended Derivative Dispersion Relations (EDDR), which, in principle, are valid for any energy above the physical threshold. We then verify the equivalence between the IDR and EDDR by means of a popular parametrization for total cross sections from proton-proton and antiproton-proton scattering and compare the results with those obtained through other representations for the derivative relations. Critical aspects on the limitations of the whole analysis, from both formal and practical points of view, are also discussed in some detail.
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spelling Derivative dispersion relations above the physical thresholdElastic hadron scatteringDispersion relationsHigh energiesWe discuss some formal and practical aspects related to the replacement of Integral Dispersion Relations (IDR) by derivative forms, without high-energy approximations. We first demonstrate that, for a class of functions with physical interest as forward scattering amplitudes, this replacement can be analytically performed, leading to novel Extended Derivative Dispersion Relations (EDDR), which, in principle, are valid for any energy above the physical threshold. We then verify the equivalence between the IDR and EDDR by means of a popular parametrization for total cross sections from proton-proton and antiproton-proton scattering and compare the results with those obtained through other representations for the derivative relations. Critical aspects on the limitations of the whole analysis, from both formal and practical points of view, are also discussed in some detail.Sociedade Brasileira de Física2007-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300006Brazilian Journal of Physics v.37 n.2a 2007reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332007000300006info:eu-repo/semantics/openAccessÁvila,R. F.Menon,M. J.eng2007-07-17T00:00:00Zoai:scielo:S0103-97332007000300006Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2007-07-17T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Derivative dispersion relations above the physical threshold
title Derivative dispersion relations above the physical threshold
spellingShingle Derivative dispersion relations above the physical threshold
Ávila,R. F.
Elastic hadron scattering
Dispersion relations
High energies
title_short Derivative dispersion relations above the physical threshold
title_full Derivative dispersion relations above the physical threshold
title_fullStr Derivative dispersion relations above the physical threshold
title_full_unstemmed Derivative dispersion relations above the physical threshold
title_sort Derivative dispersion relations above the physical threshold
author Ávila,R. F.
author_facet Ávila,R. F.
Menon,M. J.
author_role author
author2 Menon,M. J.
author2_role author
dc.contributor.author.fl_str_mv Ávila,R. F.
Menon,M. J.
dc.subject.por.fl_str_mv Elastic hadron scattering
Dispersion relations
High energies
topic Elastic hadron scattering
Dispersion relations
High energies
description We discuss some formal and practical aspects related to the replacement of Integral Dispersion Relations (IDR) by derivative forms, without high-energy approximations. We first demonstrate that, for a class of functions with physical interest as forward scattering amplitudes, this replacement can be analytically performed, leading to novel Extended Derivative Dispersion Relations (EDDR), which, in principle, are valid for any energy above the physical threshold. We then verify the equivalence between the IDR and EDDR by means of a popular parametrization for total cross sections from proton-proton and antiproton-proton scattering and compare the results with those obtained through other representations for the derivative relations. Critical aspects on the limitations of the whole analysis, from both formal and practical points of view, are also discussed in some detail.
publishDate 2007
dc.date.none.fl_str_mv 2007-06-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300006
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332007000300006
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.37 n.2a 2007
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
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instname_str Sociedade Brasileira de Física (SBF)
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institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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