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The stability of current algebra predictions for the renormalized axial coupling constant

Устойчивость предсказаний алгебры токов для перенормированной аксиальной константы связи

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Il Nuovo Cimento A (1965-1970)

Summary

One-particle approximations to the completeness relation are compared with the Adler-Weisberger summation. Predictions for the renormalized axial-vector coupling constant, obtained by saturation of axial charge commutators with the nucleon and isospin-3/2 resonances in the infinite-momentum representation, imply the need to include more states with isospin 1/2, if degenerate masses are assumed.

Riassunto

Si confrontano le approssimazioni di una particella alla relazione di completezza con la somma di Adler-Weisberger. Le predizioni per la costante di accoppiamento rinormalizzata del vettore assiale, ottenuta tramite la saturazione dei commutatori assiali di carica col nucleone e delle risonanze di isospin 3/2 nella rappresentazione di quantità di moto infinita, comportano necessariamente l’inclusione di più stati con isospin 1/2, se si assumono masse degeneri.

Резюме

Одно-частичные приближения для соотношения полноты сравниваются с суммированием Адлера-Вейсбергера. Предсказания для перенормированной аксиально-векторной константы связи, полученной посредством насыщения аксиальных зарядовых коммутаторов с нуклонными и изоспиновыми 3/2 резонансами в представлении бесконечного импульса, подразумевают необходимость включения большего числа состояний с изоспином 1/2, если предполагаются вырожденные массы.

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Authors and Affiliations

  1. Physics Department, Imperial College, London, UK

    R. M. Williams

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  1. R. M. Williams
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Additional information

The research reported in this document has been sponsored in part by the Air Force Office of Scientific Research OAR through the European Office Aerospace Research, United States Air Force.

Traduzione a cura della Redazione.

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Williams, R.M. The stability of current algebra predictions for the renormalized axial coupling constant. Nuovo Cimento A (1965-1970) 52, 107–115 (1967). https://doi.org/10.1007/BF02739277

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  • DOI: https://doi.org/10.1007/BF02739277

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