Properties of the strange axial mesons in the relativized quark model

We study properties of the strange axial mesons in the relativized quark model. We calculate the K-1 decay constant in the quark model and show how it can be used to extract the K-1(P-3(1))-K-1(P-1(1)) mixing angle (theta(K)) from the weak decay tau-->K-1 nu(tau). The ratio B(tau-nu(tau)K(1)(1270))/B(tau-nu(tau)K(1)(1400)) is the most sensitive measurement and also the most reliable since the largest of the theoretical uncertainties factor out. However, the current bounds extracted from the TPC/Two-Gamma Collaboration measurements are rather weak: we typically obtain -30 degrees less than or similar to theta(K) less than or similar to 50 degrees at 68% C.L. We also calculate the strong OZI-allowed decays in the pseudoscalar emission model and the flux-tube-breaking model and extract a P-3(1)-P-1(1) mixing angle of theta(K) similar or equal to 45 degrees. Our analysis also indicates that the heavy quark limit does not give a good description of the strange mesons.