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The recent measurement of the nuclear anapole moment of 133Cs has beeninterpreted to yield a value of the weak pion-nucleon coupling H_pi^1 whichcontradicts the upper limit from the 18F experiments. We argue that because ofthe sensitivity of the anapole moment to H_rho^0 in the odd proton nucleus133Cs, there is a combination of weak meson-nucleon couplings which satisfiesboth experiments and which is (barely) in agreement with theory. In addition,the anapole moment measurement in 205Tl gives a constraint which isinconsistent with the value from 133Cs, calling into question the theory ofnuclear anapole moments. We argue that measurements of directional asymmetry inn+p-->d+gamma and in the photo-disintegration of the deuteron by circularlypolarized photons, combined with results from pp scattering, would determineH_pi^1 and several other weak meson-nucleon couplings in a model-independentway.Comment: 9 pages, RevTeX, 1 figure, eps, submitted to Phys. Rev.

Consistency of parity-violating pion-nucleon couplings extracted from measurements in 18F and 133Cs