Definitely more with bow - pretty much as soon as I realize its a shot opprutunity. I've bowhunted 25 years - and literally only the last few years have I been able to control my nerves consistantly. After the shot with a bow - I'm pretty shook, I just cannot help it. At least I've learned to focus its effects after the shot.
With a gun - I usually go into auto-pilot. I don't know a better way to describe it. Growing up - I shot guns a lot - more than anyone I know growing up today. All those years of shooting (open sights, pass shooting, scopes, etc) - when I decide to shoot - I couldn't be more calm - Everything goes into slow motion - and a 150 yd freehand shot feels more like a shot at 20 yds with a solid rest. Everything slows down. I can't explain it better than that. I do definitely get an adrenaline rush - but its different than with a bow. Even after the shot - I'm pumped but not shook, not at all.