All the high gloss Brownings I have dealt with has a pretty tuff and hard finish. The scratch turns white I think cause the finish dry so hard.
If it is not scratched all the way through the finish down to the wood, you might be able to wet sand it with 1500 or 2000 grit sand paper till you get almost all the scratchs out. Then polish..
BE careful not to sand all the way through the finish. Do not put much pressure on the paper and use a very small piece of paper and keep it wet with water,,,if you don't use water and keep it wet the fine grit paper will stop up ..
Sand a little then polish, sand a little then polish it with a fine compound like you use on cars to remove a minor scratch.
Turtle Wax makes a pretty good fine polish that is white and comes in a black bottle. You can find it at Auto Zone or mabe most other car parts places.
Hope this helps
captin