Hitting organs aside or a leg or a head you have more stopping power if the bullet comes to a full stop in the body.
Its like anything in physics the faster you come to a stop the more physical power there is.
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You want a bullet that expands to the largest frontal diameter. The bullet that has the highest weight and highest velocity. If the bullet expands to its maximum while going the fastest threw the target. If the bullet comes to a stop in the target it may not have caused enough damage. If a bullet travels threw the target leaving a wound channel you know it has expended most of its energy. That would cause a better wound channel.
There are lot of things that go into a bullet killing something.
If a bullet stops 1/2 way threw the target it didn't have a velocity as high as a bullet that went 3/4 of the way threw.
Also there is no such thing as punching power except in boxing and MMA.
I would not want to plink 9mm at a doped up well anyone but especially 2-300lb man. That's why many people switched to the .45 for the stopping power especially the .45 rounds with shot in them.
My take on caliber debate is this: it's all about shot placement. The only way to disable someone really really quickly is with a shot to the heart or central nervous system. A hit anywhere else doesn't guarantee that the person is going down. Despite what you see in movies, any handgun bullet is going to do very little damage as compared to a shotgun or rifle. Any good defensive round (.380 & up IMO) is going to be able to drop someone with a well-placed shot. Another big factor (IMO more important than caliber) is bullet design.