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- W2003876032 abstract "We point out that the extension of the PCAC (partially conserved axial-vector current) relation ${ensuremath{partial}}_{ensuremath{mu}}{{A}_{ensuremath{mu}}}^{ensuremath{pi}}={C}_{ensuremath{pi}}{ensuremath{varphi}}^{ensuremath{pi}} mathrm{to} {ensuremath{partial}}_{ensuremath{mu}}{{A}_{ensuremath{mu}}}^{K}={C}_{K}{ensuremath{varphi}}^{K}$ and the use of charge commutators typified by ${A}_{K}=[{V}_{K},{A}_{ensuremath{pi}}]$ are useful in the study of broken $mathrm{SU}(3)$ symmetry. The use of the ${ensuremath{partial}}_{ensuremath{mu}}{{A}_{ensuremath{mu}}}^{K}={C}_{K}{ensuremath{varphi}}^{K}$ condition usually confronts us with a considerable off-mass-shell extrapolation ${m}_{K}ensuremath{rightarrow}0$. However, by using the above charge commutators and the approximation we propose, the off-mass-shell extrapolation ${m}_{K}ensuremath{rightarrow}0$ may be replaced by a more comfortable one, ${m}_{ensuremath{pi}}ensuremath{rightarrow}0$, effectively to first order in the symmetry-breaking interaction. This approach is applied to the study of the $mathrm{SU}(3)$ symmetry breaking. Encouraging results have been obtained in the case of $Vensuremath{rightarrow}P+P$ (i.e., ${K}^{*}ensuremath{rightarrow}K+ensuremath{pi}$ and $ensuremath{rho}ensuremath{rightarrow}ensuremath{pi}+ensuremath{pi}$) decays and in the direct determination of the $fensuremath{-}{f}^{ensuremath{'}}$ mixing angle from their decay widths. We also make some estimate of the off-shell extrapolation ${m}_{K}ensuremath{rightarrow}0$ compared with the case ${m}_{ensuremath{pi}}ensuremath{rightarrow}0$. Another useful application of the above charge commutators is for the weak leptonic decays. We can derive a set of sum rules for the axial-vector coupling constants of the leptonic decays of hyperons which seem to give new insight into the Cabibbo theory of leptonic interactions." @default.
- W2003876032 created "2016-06-24" @default.
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- W2003876032 date "1967-06-25" @default.
- W2003876032 modified "2023-10-17" @default.
- W2003876032 title "Partially Conserved Axial-Vector Current, Charge Commutators, Off-Mass-Shell Correction, and the BrokenSU(3)Symmetry" @default.
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- W2003876032 doi "https://doi.org/10.1103/physrev.158.1594" @default.
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