Determination of theπΛΣandπΣΣCoupling Constants Utilizing Adler's Consistency Condition

An independent method to determine the $\pi \Sigma \Lambda$ and $\pi \Sigma \Sigma$ coupling constants is presented. It is accomplished by writing a once-substracted dispersion relation for $\pi \Lambda$ and $\pi \Sigma$ scattering amplitudes slightly off the incidentpion mass shell and evaluating the subtraction constant at the point where Adler's consistency condition is valid. The results we obtained are $\frac{g_{\pi \Sigma {\Delta }^2}}{4\pi }=20.9\mathrm{}\pm 6.7$ and $\frac{g_{\pi \Sigma {\Sigma }^2}}{4\pi }=11.4\mathrm{}\pm 5.5$, in good agreement with the earlier calculation of Chan and Meiere using a completely different method.