Derivative dispersion relations above the physical threshold

Autor(es)

R. F. Ávila ^[1] ; M. J. Menon ^[2]

Afiliação do(s) autor(es)

^[1] Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica - Brasil

^[2] Universidade Estadual de Campinas. Instituto de Física Gleb Wataghin - Brasil

• Tipo de documento: Artigo Científico
• Fonte: Brazilian Journal of Physics; v. 37, p. 358-367, 2007-06-00.

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. (AU)

• Processo FAPESP: 04/10619-9 - Estudo de interações hadrônicas a altas energias
• Beneficiário: Yogiro Hama
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 03/00228-0 - Processos difrativos suaves em altas energias: abordagens analíticas e representação eiconal
• Beneficiário: Regina Fonseca Avila
• Modalidade de apoio: Bolsas no Brasil - Doutorado