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Stability of the solutions to the Low equationsvs. Production

Устойчивость решений уравнений Лоу для рождения

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Il Nuovo Cimento A (1965-1970)

Summary

The scheme developed by the author to solve the three-particle unitarity equations is implemented for the Low equations of the symmetric pseudoscalar field theory. A closed-form solution is obtained for the inelasticP 11 amplitude in terms of the elastic phase shifts using an approximate crossing matrix. (N 33* ) production is found to dominate theP 11 P 11 ππ states, but the inelastic effect on theP 11 phase shift is found to be almost negligible. This result is compared with other methods of treating the three-particle states.

Riassunto

Si estende alle equazioni di Low della teoria di campo simmetrico pseudoscalare lo schema sviluppato dall'autore per risolvere le equazioni di unitarietà di tre particelle. Per l'ampiezza anelastica diP 11 si ottiene una soluzione in forma chiusa in termini degli spostamenti di fase elastici, usando una matrice incrociata approssimata. Si trova che la produzione diN 33* domina gli statiP 11 di ππ, ma che l'effetto anelastico sullo spostamento di faseP 11 è quasi trascurabile. Si confronta questo risultato con altri metodi usati per trattare gli stati di tre particelle.

Резюме

Схема, развитая автором для решения трех-частичных уравнений унитарности, приспоспбливается для уравнений Лоу симметричной псевдоскалярной теории поля. Получается решение в замкнутой форме для неупругойP 11 амплитуды на основе упригих фазовых сдвигов, используя приближенную поперечную матрицу. Обнаружено, что рождениеN 33* подавляетP 11 ππ состояния, но в то же время получено, что неупругое влияние наP 11 фазовый сдвиг является почти пренебрежимо малым. Этот результат сравнивается с другими методами рассмотрения трехчастичных состояний.

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Authors and Affiliations

  1. Institute of Theoretical Physics, McGill University, Montreal

    J. P. Lebrun

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Additional information

Research supported by the National Research Council of Canada.

Traduzione a cura della Redazione.

Перевебено ребакуией.

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Lebrun, J.P. Stability of the solutions to the Low equationsvs. Production. Nuovo Cimento A (1965-1970) 61, 553–566 (1969). https://doi.org/10.1007/BF02756862

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