Summary
We find a parametrization for the most general ππ partial-wave amplitudes consistent with crossing symmetry and isospin invariance. This enables us to write all the constraints on the partial-wave amplitudes which follow from, and which ensure, crossing symmetry. We then discuss how these relations might be useful, and apply them in particular to Brown and Goble's model for ππ scattering
Riassunto
Si trova una parametrizzazione per le più generali ampiezze d'onda parziale di ππ, coerenti con la simmetria incrociata e l'invarianza di isospin. Ciò permette di scrivere tutti i vincoli sulle ampiezze d'onda parziale che derivano dalla simmetria incrociata e l'assicurano. Si discute come queste relazioni possano essere utili e si applicano in particolare al modello di Brown e Goble per lo scattering ππ.
Резюме
Мы получаем параметризацию для наиболее общих ππ парциальных амплитуд, согласующиеся с кроссинг-симметрией и изоспиновой инвариантностью. Это позволяет нам записать все ограничения на парциальные амплитуды, которые следуют из, и которые обеспечивают кроссинг-симметрию. Затем мы обсуждаем, как эти соотношения могут быть использованы, и применяем их, в частности, к модели Брауна и Гобла для ππ рассеяния.
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References
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Work supported in part by the U.S. Atomic Energy Commission under Contract AT(30-1)-2726.
Traduzione a cura della Redazione.
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02824801.
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Roskies, R. Crossing restrictions on ππ partial waves. Nuovo Cimento A (1965-1970) 65, 467–490 (1970). https://doi.org/10.1007/BF02824912
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DOI: https://doi.org/10.1007/BF02824912