Renormalization of the Strangeness-Changing Axial-Vector Coupling Constants

Using the recently determined $\mathrm{KN}\Lambda$ coupling constant and the multichannel effective-range analysis of the $\overline{K}N$ system, the renormalized axial-vector coupling constants ${g_A}^{\Lambda }$ for the decay $\Lambda \to p+e^{-}+\overline{v}$ and ${g_A}^{\Sigma -}$ for the decay ${\Sigma }^{-}\to n+e^{-}+\overline{v}$ are recalculated, using the method of Adler and Weisberger. The results $\left|{g_A}^{\Lambda }\right|=0.77\mathrm{}\pm 0.1$ and $\left|{g_A}^{\Sigma -}\right|=0.55\mathrm{}\pm 0.2$ agree well with the best-fit solution to all leptonic baryon decays based on the Cabibbo theory, but disagree with the recent experimental results from the decay angular distribution of polarized baryons. The mass-continuation problem is investigated in detail, and its effect is shown to be non-negligible.