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Modified hypothesis of partially conserved axial vector current, the pion-decay constantf π A and the ratiof π A f Emphasis>/K A

Модифицированная гипотеза частично сохраняющегося аксиально-векторного тока, постоянная пионного распадаf π A и отношениеf π A /f K A

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Il Nuovo Cimento A (1965-1970)

Summary

The hypothesis of partial conservation of weak axial vector current ∂μ a αμ =c α(m 2α ϕα) is modified to the form ∂μ a αμ =c α(m 2α ϕα+E), whereR α(x) is a pseudoscalar current operator. Invoking this modified hypothesis in the theoretical calculation of the pion-decay constantf π A and the ratio of kaon- to pion-decay constants |f K A /f π A | it is found thatf π A =0.139m o and |f K A /f π A |=1.28, which are in excellent agreement with the corresponding experimental value 0.14m p forf π A and the Cabibbo-angle value 1.28 for |f K A /f π A |.

Riassunto

Si modifica l'ipotesi della conservazione parziale della corrente vettoriale assiale ∂μ a αμ =c α(m 2α ϕα) nella forma ∂μ a αμ =c α(m 2α ϕα+E), doveR α(x) è un'operatore della corrente pseudoscalare. Servendosi di queste ipotesi modificate nei calcoli teorici della costante di decadimento del pionef π A e del rapporto fra le costanti di decadimento del kaone e del pione |f K A /f π A |, si trova chef π A =0.139m p e |f K A /f π A |=1.28, che sono in ottimo accordo con il corrispondente valore sperimentale 0.14m p perf π A ed il valore dell'angolo di Cabibbo 1.28 per |f K A /f π A |.

Резюме

Гипотеза частичного сохранения слабого аксиально-векторного тока ∂μ a αμ =c α(m 2α ϕα) преобразуется к форме ∂μ a αμ =c α(m 2α ϕα+E), гдеR α(x) представляет оператор псевдоскалярного тока. Используя эту модифицированную гипотезу в теоретическом вычислении постоянной пионного распадаf π A и отношения постоянных каонного и пионного распадов |f K A /f π A |, получено, чтоf π A =0.139m p и |f K A /f π A |=1.28. Полученные значения прекрасно согласуются с соответствующим экспериментальным значением 0.14m p дляf π A и значением угла Кабиббо 1.28 для |f K A /f π A |.

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References

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Authors and Affiliations

  1. Department of Physics, Laval University, Quebec

    M. Satapathy

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  1. M. Satapathy
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Work supported by a grant from Atomic Energy Board of Canada.

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Satapathy, M. Modified hypothesis of partially conserved axial vector current, the pion-decay constantf π A and the ratiof π A f Emphasis>/K A . Nuovo Cimento A (1965-1970) 70, 344–354 (1970). https://doi.org/10.1007/BF02725379

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