The simplest way would be to centredrill the bar end with a portable drill, after marking and punching centre of the bar. Rest the centredrilled end on a live centre or dead centre in the tailstock. If you can’t centredrill it see other ideas below.
You can get an inexpensive Chinese made bell centre – this is a live centre with a funnel like socket rather than a centre conical point. The bar end would rest in the socket at 4 points but you may not have tool access to make your groove if funnel is deeper than 15 mm. If you go this route get a shallow one. Chronos carry them I think.
If you have a steady rest you can also use a cat head. The cat head is a piece of pipe (or a close fitting drilled round bar part that fits close to the square bar corners) with 4 screws in tapped holes at 90 degrees to each other. They come out of the pipe like spokes in a wheel. You slip the cat head over the square bar, tighten the screws so the bar runs true to the pipe OD, then rest the pipe in the steady rest which supports it while it turns.
Hope the info helps.
JD