Derivative dispersion relations above the physical threshold



Document title: Derivative dispersion relations above the physical threshold
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000408627
ISSN: 0103-9733
Authors: 1
2
Institutions: 1Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computacao Cientifica, Campinas, Sao Paulo. Brasil
2Universidade Estadual de Campinas, Instituto de Fisica "Gleb Wataghin", Campinas, Sao Paulo. Brasil
Year:
Season: Jun
Volumen: 37
Number: 2A
Pages: 358-367
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract 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
Disciplines: Física y astronomía
Keyword: Física,
Física nuclear,
Dispersión elástica
Keyword: Physics and astronomy,
Nuclear physics,
Physics,
Elastic scattering
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