We report our detailed analysis of a table-top system for the measurement ofthe weak-force-induced electric dipole moment of a ground state hyperfinetransition carried out in an atomic beam geometry. We describe an experimentalconfiguration of conductors for application of orthogonal r.f. and staticelectric fields, with cavity enhancement of the r.f. field amplitude, thatallows confinement of the r.f. field to a region in which the static fields areuniform and well-characterized. We carry out detailed numerical simulations ofthe field modes, and analyze the expected magnitude of statistical andsystematic limits to the measurement of this transition amplitude in atomiccesium. The combination of an atomic beam with this configuration leads tostrong suppression of magnetic dipole contributions to the atomic signal. Theapplication of this technique to the measurement of extremely weak transitionamplitudes in other atomic systems, especially alkali metals, seems veryfeasible.
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