Been working on the crossfeed on the Student. Took it apart and studied the nut, which is about 40mm long and made of what seems to be bronze, it fits in a groove on the underside of the cross-slide, where it's retained by a hollow bolt (which I guess originally had a grease or oil nipple on the top, as the nut has a matching hole.
Basically, I've cut it in half and arranged for one half to be fitted in such a way that it has a small amount of length-wise adjustment. Each half is retained by an M6x1 stainless bolt. The fixed half is fixed through a new 6mm hole in the cross-slide, while the adjustable half if fitted with a bush in the old (7/16") mounting hole, with a reducing bush with an 8mm hole, and a 6mm bolt with penny washer. Adjustment is a touch problematic, it'd be better with some shims in between the 2 halves. I'll test it a bit and see how it works, and possibly add shims later.
none of this precludes fitting a normal single nut back to it (except I don't have one).
Now, to look up the proper way to adjust the gibs in the slide, rather than guessing...