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Spectral sum rules for three-point functions and their application to π0→2γ decay

Спектральные правила сумм для трех-точечных функций и их применения к распаду π0→2γ

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Il Nuovo Cimento A (1965-1970)

Summary

The Lehmann-Källén representation for three-point functions involving a soft pion has been derived and applied to various processes including π0→2γ decay. The integrally-charged-quark model is preferred but the model of Cabibboet al. gives the incorrect sign for the matrix element of π0→2γ decay.

Riassunto

Si è derivata la rappresentazione di Lehman e Källén per le funzioni a tre punti interessanti un pione molle e la si è applicata a vari processi compredenti il decadimento π0→2γ. Si preferisce il modello a quark integralmente carichi, ma il modello di Cabibboet al. dà il segno sbagliato per l’elemento di matrice del decadimento π0→2γ.

Резюме

Было выведено представление Лемана-Каллена для трех-точечных функций, содержащих мяткий пион, и это представление было применено к различным процессам, включая распад π0→2γ. Здесь отдается предпочтение модели кварков с целыми зарядами, а модель Кабиббо и др. дает неправильный знак для матричного элемента распада π0→2γ.

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References

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Rochester, Rochester, N. Y.

    R. Chanda, R. N. Mohapatra & S. Okubo

Authors
  1. R. Chanda
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  2. R. N. Mohapatra
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  3. S. Okubo
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Additional information

Work supported in part by the U.S. Atomic Energy Commission.

Traduzione a cura della Redazione.

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Chanda, R., Mohapatra, R.N. & Okubo, S. Spectral sum rules for three-point functions and their application to π0→2γ decay. Nuovo Cimento A (1965-1970) 58, 589–594 (1968). https://doi.org/10.1007/BF02837657

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