We present the first 2.0-2.5 mum spectra of four Be/X-ray binaries, at
a resolution of lambda/DELTAlambda = 310-400. The spectra show strong
hydrogen recombination lines, notably Brgamma and, in most cases, the
higher order Pfund series. The relative recombination strengths imply
that Brgamma has a large optical depth, whereas the Pfund lines have
relative strengths close to case B and so may be optically thin. The H
e I 2.06-mum line is also in emission. Mg II emission lines are presen
t, as are Na I lines; the latter are normally associated with emission
-zone temperatures that are cooler than the conventional Be-star circu
mstellar disc. We conclude that optical effects are evident in H I lin
e emission.