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Il Nuovo Cimento A (1965-1970)

, Volume 41, Issue 1, pp 73–95 | Cite as

Meson-meson scattering amplitudes in the modifiedK-matrix formalism

  • C. B. Lang
Article

Summary

On the basis of a modified definition of theK-matrix we construct amplitudes for low-energy ππ, K\(\overline {\text{K}} \) and πK scatterings. An iteration scheme allows us to account for crossing symmetry and coupled-channel unitarity. We find that we have to include information on the masses and widths of the possible resonances—they cannot be predicted in this framework. As a result we present partial-wave amplitudes that agree well with experiments. Conclusions on several features of meson-meson scattering can be drawn.

Амплитуда рассеяния меэона на меэоне в формалиэме модифицированнойK-матрицы

Реэюме

На основе модифицированного определенияK-матрицы мы кон?струируем амплитуды для ππ, K\(\overline {\text{K}} \) и πK рассеяния при ниэких знергиях. Схема итераций поэволяет общяснить кроссинг-симметрию и инвариантность свяэанных каналов. Мы находим, что необходимо включить информацию о массах и щиринах воэможных реэонансов, т.к. зти величины не могут быть предскаэаны в зтом подходе. Мы приводим парциальные амплитуды, которые хорощо согласуются с зкспериментами. На основе зтих реэультатов можно сделать ряд эаключений о некоторых особенностях меэон-меэонного рассеяния.

Riassunto

Si costruiscono le ampiezze degli scattering a bassa energia ππ, K\(\overline {\text{K}} \) e πK sulla base di una definizione modificata della matriceK. Uno schema di iterazione ci permette di spiegare la simmetria d’incrocio e l’unitarietà dei canali accoppiati. Si trova che bisogna includere informazioni sulle masse e le ampiezze delle possibili risonanze — esse non possono essere predette in questo contesto. Come risultato si presentano ampiezze dell’onda parziale che sono in buon accordo con gli esperimenti. Si possono trarre delle conclusioni riguardo a molte caratteristiche dello scattering mesone-mesone.

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Copyright information

© Società Italiana di Fisica 1977

Authors and Affiliations

  • C. B. Lang
    • 1
  1. 1.Institut für Theoretische PhysikUniversität GrazGrazAustria

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