Summary
It is shown that the complementary aspect of high-energy Regge behaviour and low-energy resonance saturation known as « duality » from finite-energy sum rules can be advanced in a unifying direction. The Regge parametrization of low-energy partial waves is deduced reversing the path leading to asymptotic Regge behaviour in the crossed channel by means of the Khuri-Jones representation. TheP 11 andS 11 waves in πN scattering are analysed. They show evidence for a pattern of trajectories characteristic for a model of oscillatory excitations.
Riassunto
Si dimostra che si può sviluppare in una direzione unificata l’aspetto di complementarità del comportamento di Regge alle alte energie e la saturazione delle risonanze a bassa energia nota come « dualità » dalle regole di somma di energia finita. Si deduce la parametrizzazione di Regge delle onde parziali alle basse energie invertendo la traiettoria che porta al comportamento di Regge asintotico nel canale incrociato tramite la rappresentazione di Khuri-Jones. Si analizzano le ondeP 11 eS 11 nello scattering πN. Si ottengono così indicazioni per un tipo di traiettorie caratteristiche per un modello di eccitazioni oscillatorie.
Реэюме
--Покаэывается, что дополнительный аспект поведения Редже при высоких знергиях и насышение реэонансов при ниэких знергиях, иэвестное как « дуальность », могут быть раэвиты с единой точки эрения, исходя иэ правил сумм при конечной знергии. Выводится параметриэация Редже для парциальных воли при ниэких знергиях, посредством обрашения пути, приводяшего к асимптотическому поведению Редже в перекрестном канале, с испольэованием представления Хури-?онеса. АналиэируютсяР 11 иS 11 волны в рассеянии. Они дают подтверждение для формы траектории, характерной для модели осцилляторных воэбуждений.
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Minkowski, P., Halzen, F. Regge parametrization for low-energy πN scattering. Nuov Cim A 1, 59–77 (1971). https://doi.org/10.1007/BF02722611
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DOI: https://doi.org/10.1007/BF02722611