Summary
Amplitudes for the elastic scattering of two particles are constructed which saturate the Froissart bound and satisfy i) Mandelstam analyticity and polynomial boundedness, ii) crossing symmetry with respect to all channels and iii) inelastic-unitarity constraints.
Riassunto
Si costruiscono ampiezze per lo scattering elastico di due particelle che saturano il limite di Froissart e soddisfano i) l'analiticità di Mandelstam e la limitatezza polinomiale, ii) la simmetria d'incrocio rispetto a tutti i canali, e iii) i vincoli di unitarietà inelastica.
Резюме
Конструируются амплитуды упругого рассеяния двух частиц, которые насыщают границы Фруасара и удовлетворяют: 1) аналитичности Манделстама и полиномиальной ограниченности, 2) кроссинг-симметрии относительно всех каналов и 3) ограничениям неупругой унитарности.
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Kupsch, J., Pool, T.P. Saturation of the Froissart bound. Nuov Cim A 52, 99–114 (1979). https://doi.org/10.1007/BF02774943
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DOI: https://doi.org/10.1007/BF02774943