Summary
The high-energy behaviour of a dual amplitude with Mandelstam analyticity (DAMA) is investigated. A detailed analysis of the dependence of the asymptotic behaviour of DAMA on the position of the boundary of the spectral function and on the asymptotic form of the Regge trajectory is given. It is proved that the amplitude does have Regge asymptotic behaviour for arbitrary momentum transfers if the trajectories increase slower thans.
Riassunto
Si studia il comportamento di alta energia dell’ampiezza duale con analiticità di Mandelstam (DAMA) Si fa un’analisi dettagliata della dipendenza del comportamento asintotico di DAMA dalla posizione del contorno della funzione spettrale e dalla forma asintotica della traiettoria di Regge. Si dimostra che l’ampiezza ha un comportamento asintotico di Regge per impulsi trasferiti arbitrari se le traiettorie crescono più lentamente dis.
Реэуме
В работе рассмотрено поведение ДАМА в области высоких знергии. Деталяно иэучена эависимостя асимптотического поведения ДАМА от полозения границы спектралянои функции и асимптотики редзевских траектории. Покаэано, что траектории в ДАМА долзны расти медленнеиs. При зтом, амплитуда будет иметя редзевскуу асимптотику поs при всех эначениях передаваемого импуляса.
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Bugrij, A.I., Jenkovszky, L.L., Kobylinsky, N.A. et al. DAMA and regge asymptotic behaviour. Nuov Cim A 12, 377–386 (1972). https://doi.org/10.1007/BF02729552
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DOI: https://doi.org/10.1007/BF02729552