I just started shooting a recurve instictively. I've had great succes with it and I'm working my way out to 30 yards when the weather warms up. What you are describing is exactly how I feel.

I actually feel the same mentally when shooting my compound. I burn a hole in the target. I don't even notice my peep or my sight pin.... I only see that spot I am shooting at. It took months to do this every time, but I have practiced so much that I subconciously pick the right pin and I never even feel myself looking at it. I swear to God that when I focus on the target I can physically feel my brain turning in my skull and pushing towards the target. It's the wierdest dang thing and it's more addictive than any drug. My ultimate test was hunting this late fall. I picked a spot on the animal, never taking my eyes from it. I vaguely remember seeing my pin enter the vision then it was gone...I was back to burning a hole in the side of the animal. The arrow just left and I never took my eyes off the spot.

I feel the same thing shooting hand guns. I can blaze away at bowling pins with my .45 and never conciously remember looking at the front sight...even though I know that some part of my optic system of my body is looking. Unfortunately my reaction time is terribly slow or I might be a dang fine pin shooter.

The closest thing that I can find to it in real life is going down a two lane road for 20 minutes and daydreaming. You all the sudden realize that you've gone 20 miles and don't know how you got there. Yet, your body and optic system kept you on the road, around the corners and up the hills.