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Semi-inclusive processes are very promising to investigate $XYZ$ hadrons atthe next generation of electron-hadron facilities, because they generally boasthigher cross sections. We extend our formalism of exclusive photoproduction tosemi-inclusive final states. The inclusive production cross sections forcharged axial-vector $Z$ states from pion exchange are predicted. We isolatethe contribution of $\Delta$ resonances at small missing mass. Production nearthreshold is shown to be enhanced roughly by a factor of two compared to theexclusive reaction. We benchmark the model with data of semi-inclusive$b_1^\pm$ production.

XYZ spectroscopy at electron-hadron facilities II: Semi-inclusive processes with pion exchange