Polarization Effects in the Production of Intermediate Bosons

For the coherent production of intermediate bosons by neutrinos or muons in the coulomb field of nuclei, we evaluate total cross sections, angular distributions, and spectra of the leptons appearing in the production reaction, and in particular polarization effects, e.g., the components of the polarization vector of the boson as a function of production angle and energy, and the angular distributions of charged leptons from decay in flight, which are characterized by the strong circular polarization of the boson. The angular distributions of $2\pi$ decay are obtained also. In the calculation, we use the Weizsäcker-Williams method in covariant form, another demonstration that this convenient calculatory shortcut lends itself perfectly to the evaluation of polarization effects.