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Universal curve for ππ scattering lengths by optimal extrapolation techniques

Универсальная кривая для длин л-л рассеяниия с испольэованием техники оптимальной зкстраполяции

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Il Nuovo Cimento A (1965-1970)

Summary

Using the method of optimal extrapolation to interior points, we re-evaluate the equation of the universal curve of the ππs-wave scattering lengths. We reproduce the gross features of previous determinations, but with a realistic error, without any detailed assumption on the asymptotic behaviour. Possible implications of our result on the numerical value of thep-wave scattering length are qualitatively discussed.

Riassunto

Usando il metodo di estrapolazione ottimale a punti interni si rideriva l’equazione della curva universale per le lunghezze di scattering d’ondas dell’urto pione-pione. Le caratteristiche principali di precedenti derivazioni sono riprodotte con in più un errore realistico, senza bisogno di ipotesi dettagliate sul comportamento asintotico. Possibili conseguenze del nostro risultato sul valore numerico della lunghezza di scattering d’ondap sono qualitativamente discusse.

Реэюме

Испольэуя метод оптимальной зкстраполяции, мы выводим уравнение универсальной кривой для длин л-л рассеяния в случае s-волны. Мы воспроиэводим основные особенности, полученные ранее, но беэ детальных предположений об асимптотическом поведении. Качественно обсуждаются воэможные следствия нащего реэультата для численной оценки длины рассеяния р-волны.

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Author notes

  1. S. Ciulli

    Present address: Institute for Atomic Physics, P.O. Box 5206, Bucharest, Romania

Authors and Affiliations

  1. International Centre for Theoretical Physics, Trieste, Italia

    S. Ciulli

  2. Istituto di Fisica Teorica dell’Università, Trieste, Italia

    D. Treleani & C. Verzegnassi

  3. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italia

    D. Treleani & C. Verzegnassi

Authors
  1. S. Ciulli
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  2. D. Treleani
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  3. C. Verzegnassi
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Ciulli, S., Treleani, D. & Verzegnassi, C. Universal curve for ππ scattering lengths by optimal extrapolation techniques. Nuov Cim A 38, 209–222 (1977). https://doi.org/10.1007/BF02730020

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  • DOI: https://doi.org/10.1007/BF02730020

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