I am surprised you have a somewhat loose fit with that combo. The numbers don't add up except for a very tight fit, some .020" over bore dia. I suggest that your patch material, when wet, is much thinner than it measures when dry. By all means find a thicker patch. Either that or your bore isn't a .62, or the balls are undersize. Most guys up here use .595 balls with a .020" patch that measures about .018 when wet. Regardless, you do need a slightly thicker patch or larger ball.
: One thing you could do it to aquire some .610 balls and try them with the patch you are now using.
: Either way, you do need a snug fit for the best accuracy. A smoothbore at 25yds., accuracy wise, is difficult to tell from a rifled bore when you hit the correct combo. Even with loose paper patches, it should still hold a 3" group, twice the size it should shoot with the ultimate combinaton.
: This brings up sighting. Are you able to sight right down the barrel, across the front bead or blade? Having to hold your head up, shotgun style, is not productive to shooting small groups. Some guys, my Brother included, will slightly bend the barrel to get it shooting straight in line with the hump at the beech being the rear sight.
: Much of smoothbore accurate shooting comes from lots of practise. A proper ball/patch combo helps immensely. If it's loose, it's too loose. Try something thicker or slightly larger balls.
Daryl