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Partially conserved axial-vector current and the nonleptonic K-meson decays

Suzuki, Mahiko (1966) Partially conserved axial-vector current and the nonleptonic K-meson decays. Physical Review, 144 (4). pp. 1154-1157. ISSN 0031-899X. doi:10.1103/PhysRev.144.1154.

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Current commutation relations and a partially conserved axial-vector current hypothesis (PCAC) are applied to the nonleptonic K decays. On the assumption that the effective weak interactions should have the transformation property suggested by Gell-Mann in the quark model of the chiral symmetry, and that the axial-vector isospin charges to which the pions are related through PCAC should be generators of U(2)×U(2), the K2π and the K3π decay amplitudes, in which the four-momenta of all the final pions are continued to zero, are proved to obey the ΔI=1/2 rule. In the approximation of neglecting the continuation, the decay rate of the K3π is related to that of the K2π. The ratio of the decay rates is estimated and a reasonable agreement with experiment is obtained. Only the charge independence is assumed for the strong interactions.

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Additional Information:©1966 The American Physical Society. Received 9 December 1965. The author is very grateful to Professor R.F. Dashen, Professor M. Gell-Mann, and Dr. K. Kawarabayashi for stimulating discussions. He is especially indebted to Professor R.F. Dashen for careful reading of the manuscript.
Issue or Number:4
Record Number:CaltechAUTHORS:SUZpr66c
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7145
Deposited By: Tony Diaz
Deposited On:10 Jan 2007
Last Modified:08 Nov 2021 20:39

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