If you have experience in catching tuna on artificial lures please give me some input.

Two weeks ago I took my first albacore trip off San Diego. I managed to land a few nice ones but wondered if somehow I could have done better. I had noticed that most of the hook ups were made within 5 minutes after one of the trolling rods "hooked up". At that point, the captain shuts off the engine, the boat "slides" and then everyone is elbow to elbow fly-lining their live baits down the stern. Tunas are schooling fish so I guess they don't hang around at any one place for too long so it appeared that the first few angler who gets his/her bait in the water have the best chance. Here's my question:

Should I try to cast an artificial lure immediately after the trolling rod's hook-up, preferably near the same spot? After all, one of them went for the feather and I know there are more of them nearby. Anyway there were 25 other anglers on board that day and not a single one of them used artificial lures.

If you have any prior experience on this please reply.

What you're talking about is called fishing on the slide. You have to be careful not to tangle with the freshly hooked fish, but if the deckhands will allow it(ask them...), you could try a couple of things. If I were going to throw an artificial at a troll stop, I'd probably throw big surface iron like a Tady 45 in white/blue or white/blue/purple. Just cast out directly behind the boat, let it sink for 5 or 10 seconds, then crank it back fairly fast.
You might try a heavy one as well. Just let it sink a little longer. You might get a slap on the wrist if the boat is a little crowded though ... 'cause you potentially could foul up a bunch of lines if everyone gets crowed around you while flylining their baits and the boat turns at all while sliding forward when you're reeling in your iron.

The bonus is that you would be able to use heavier line and might be able to boat the fish faster using 30 or 40 pound line as opposed to flyliners fishing 15-30. Give it a try!

You also may want to try plastic swimbaits fished "on the slide" as Frank mentioned. I've seen lots of albacore knocked this way and you can definetely get it out there before anyone with bait.

You can't catch tomorrow what you kill today - please practice catch and release.