Short of disrupting the CNS/Brain, or a freak psychological "stop" you can forget about reliable "stopping power" with any basic self defense handgun caliber.
If you want to win, study shot placement, then learn shot placement, then practice shot placement. After you're done with these three steps, practice shot placement some more and carry whichever caliber you shoot best when measured to the standard of (yep, you guessed it) SHOT PLACEMENT .
Did I mention that shot placement is more important than caliber choice?