Resolution of the Discrepancy in the Determination of the Cabibbo AngleθVfromKl3and NuclearβDecays

The magnitude of the polar-vector Cabibbo angle ${\theta }_V$ obtained from $K_{e3\mathrm{}}$ decay has been reevaluated using the Kemmer description of pseudoscalar mesons. We find ${{\theta }_V}^{\left(\mathrm{K}\right)}={0.192}_{+}\pm 0.016$. This compares favorably with the value ${{\theta }_V}^{\beta }={0.188}_{-}\pm 0.007$ obtained for $0^{+}\to 0^{+}\beta$ decays, and thus removes the discrepancy between ${{\theta }_V}^{\left(\beta \right)}$ and the value obtained from the conventional Klein-Gordon $K_{e3\mathrm{}}$ description, ${{\theta }_V}^{(\mathrm{K}-\mathrm{G})}={0.235}_{-}\pm 0.019$. Combining the Kemmer and the $\beta$-decay results leads to a "best" value of ${\theta }_V={0.188}_{+}\pm 0.006$. A new determination of the axial-vector Cabibbo angles ${{\theta }_A}^{\left(\mathrm{K}\right)}$ and ${{\theta }_A}^{(\mathrm{K}-\mathrm{G})}$ is also obtained.