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(Referência obtida automaticamente do SciELO, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Derivative dispersion relations above the physical threshold

Texto completo
Autor(es):
R. F. Ávila ; M. J. Menon
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Brazilian Journal of Physics; v. 37, n. 2a, p. 358-367, Jun. 2007.
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
Linha de fomento: Auxílio à Pesquisa - Temático
Processo FAPESP: 03/00228-0 - Processos difrativos suaves em altas energias: abordagens analíticas e representação eiconal
Beneficiário:Regina Fonseca Ávila
Linha de fomento: Bolsas no Brasil - Doutorado