Abstract
Superconvergent combinations of weak baryon form factors are constructed from the assumptions that the usually adopted transformation properties of the baryons and the vector and axial-vector currents are exact for matrix elements in the limit of infinite t , and that the direct vector and axial-vector form factors are convergent. The resulting sum rules are saturated with all the known relevant poles. The results are: (i) SU(3) as an asymptotic symmetru predicts that the symmetry breaking (deviation from Cabibbo theory) is unobservable except for a renormalization of the Cabibbo angle to possibly different values θ V and θ A . (ii) The chiral SU(3) ⊗ SU(3) as an asymptotic symmetry allows a calculation of the D / F ratio in axial-vector couplings in terms of the ϱ and A 1 masses. It also leads to a correction (due to the A 1 ) to the pion-pole value of the induced pseudo-scalar form factor, and of course gives the Goldberger-Treiman relation. For baryons transforming “asymptotically” like [(1,8) ± (8,1)] of the chiral group, all these results are in agreement with observation.
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