Higher order corrections to the coherent production of vector bosons in the coulomb field of a nucleus

Abstract

The wave function for a vector boson in a Coulomb field is obtained in a high energy approximation. The Furry wave function for a lepton in a Coulomb field is reconsidered and extended by taking into account a term hitherto neglected. Both wave functions are then applied to the coherent production of vector bosons and muons by neutrinos in the Coulomb field of a nucleus. For low-energy muons the matrix element is improved bv taking into account all second order effects for the muon. The effect of nuclear structure is briefly discussed.