The total cross section is calculated for the resonant process $l^{\pm }+Z\to l^{\pm }+Z^{\prime }+B^0\to l^{\pm }+Z^{\prime }+\mathrm{}\left(\mathrm{hadrons}\mathrm{or}\mathrm{leptons}\right)\mathrm{}$, where $l=\mu or e$, and $B^0$ is the hypothetical massive spin-1 boson of electromagnetic interactions, proposed by Lee and Wick. Several ($Z,Z^{\prime }$) cases have been studied, corresponding to elastic scattering off protons and neutrons (with and without an exclusion principle), coherent scattering off spin-0 nuclei, and inelastic scattering off protons (in which case $Z^{\prime }$ denotes a nucleon resonance or hadronic system in the continuum). Detailed structure-function data are used to improve the accuracy of the inelastic scattering calculation. At a beam energy of 200-300 GeV, the cross section exceeds ${10}^{-36\mathrm{}}$ ${\mathrm{cm}}^2$, provided the $B^0$ mass is not much greater than 10 GeV. Details of the calculation are given with results for beam energies between 50 and 10 000 GeV and $B^0$ masses between 5 and 40 GeV. The cross section is also computed for the resonant process ${\overline{\nu }}_l\left({\nu }_l\right)+Z\to l^{\pm }+Z^{\prime }+W_0^{}{}_{}{}^{\mp }\to l^{\pm }+Z^{\prime }+\mathrm{}\left(\mathrm{hadrons}\mathrm{or}\mathrm{leptons}\right)\mathrm{}$ and for the extensively studied semiweak process ${\overline{\nu }}_l\left({\nu }_l\right)+Z\to l^{\pm }+Z^{\prime }+W_1^{\mp }$, where $W_{0,1}^{\pm }$ are the scalar and vector weak intermediate bosons. The cross section for $W_0^{\pm }$ production with $l=\mu$ is found to be at least an order of magnitude smaller than that for $W_1^{\pm }$, in nearly all regions of interest. The $W_0^{\pm }$ production cross section for inelastic scattering off protons is comparable to that for elastic scattering in the regions of interest; whereas in the $B^0$ and $W_1^{\pm }$ cases, the main contribution to the total cross section for production off protons is elastic.

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