Journal: | Brazilian journal of physics |
Database: | PERIÓDICA |
System number: | 000408627 |
ISSN: | 0103-9733 |
Authors: | Avila, R.F1 Menon, M.J2 |
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: | 2007 |
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 |
Full text: | Texto completo (Ver PDF) |