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Upper bounds for the asymptotic behaviour of Regge trajectories

Верхние границы для асимптотического поведения траекторий Редже

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Il Nuovo Cimento A (1965-1970)

Summary

Assuming the usual analyticity for mesonic Regge trajectories we correlate the asymptotic (power) behaviour of the trajectories with the number of complex zeros of the functionα(s) —N, N being an integer of adequate parity. Trajectories that grow nearly linearly do not have such zeros.

Riassunto

Adottando l’usuale analiticità per le traiettorie di Regge mesoniche, si mette in relazione il comportamento asintotico (di potenze) delle traiettorie con il numero di zeri complessi della funzioneα(s) —N, in cuiN è un intero di adeguata parità. Le traiettorie che crescono quasi linearmente non hanno zeri di questo tipo.

Реэюме

Предполагая обычную аналитичность для меэонных траекторий Редже, мы свяэываем асимптотическое (степенное) поведение зтих траекторий с числом комплексных нулей функции α(s) —N, гдеN целое число. Траектории, которые растут почти линейно, не имеют таких нулей.

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References

  1. The statements we make, rather liberally, about the basic framework of Regge theory can all be found in the masterly review byR. Oehme:Complex angular momentum, inStrong Interactions and High-Energy Physics, edited byR. G. Moorhouse (London, 1964).

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Authors and Affiliations

  1. Instituto de Física, Universidade de S. Paulo, S. Paulo

    H. Fleming & A. Montes Filho (FAPESP predoctoral fellow)

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  1. H. Fleming
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  2. A. Montes Filho
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Fleming, H., Filho, A.M. Upper bounds for the asymptotic behaviour of Regge trajectories. Nuov Cim A 14, 215–223 (1973). https://doi.org/10.1007/BF02734615

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  • DOI: https://doi.org/10.1007/BF02734615

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