Electron-impact excitation of diatomic hydride cations – I. HeH+, CH+, ArH

R-matrix calculations combined with the adiabatic nuclei approximation are used to compute electron-impact rotational excitation rates for three closed-shell diatomic cations, HeH+, CH+, ArH+. Comparisons with previous studies show that an improved treatment of threshold effects leads to significant changes in the low temperature rates; furthermore the new calculations suggest that excitation of CH+ is dominated by ΔJ = 1 transitions as is expected for cations with a large dipole moment. A model for ArH+ excitation in the Crab nebula is presented which gives results consistent with the observations for electron densities in the range 2–3 × 103 cm−3.