Does it have a solid center rib, or separate ones for top and bottom? I have seen both variations on SxS, also have seen them where in addition to barrels being soldered,they are dovetailed together near the breech, then dovetail was tack welded in place to prevent separation.
Without seeing and inspecting, hard to venture a recommendation on what I would do. But with that said, (and speaking for myself only) if the loose rib did not affect safety integrity of the gun and did not wish to risk resoldering? I would look at roughing up separated area with a coarse grit of abrasive paper, do a very thorough cleaning to remove all oil, grease, wax & etc. (Gun Scrubber works well and leaves no residue) Liberally apply standard JB Weld, (JB Weld is a great high strength, high heat resistant epoxy adhesive) clamp rib in place, wipe and clean off excess JB Weld outside joined area, and let it cure.