We study properties of the strange axial mesons in the relativized quark model. We calculate the K1 decay constant in the quark model and show how it can be used to extract the K1(3P1)-K1(1P 1) mixing angle (θK) from the weak decay τ→K1ντ. The ratio B(τ→ντK1(1270))/B(τ→ν τK1(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°≲θK≲50° 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 3P1-1P1 mixing angle of θK≃45°. Our analysis also indicates that the heavy quark limit does not give a good description of the strange mesons.

Additional Metadata
Persistent URL dx.doi.org/10.1103/PhysRevD.53.3712
Journal Physical Review D
Citation
Blundell, H.G. (Harry G.), Godfrey, S, & Phelps, B. (Brian). (1996). Properties of the strange axial mesons in the relativized quark model. Physical Review D, 53(7), 3712–3722. doi:10.1103/PhysRevD.53.3712