Blackhawk has it right. 3/*" thick is enough, really, with a 1/8" backing, BUT that is then a consistently thick "stave", and it will take very little adjustment to screw it up as you tiller.
When I made more R/D lam bows, I would use a power lam down by the handle, a core tapered from about 3/8" to 5/16", and a wedge at the tips maybe 1/8" thick on the butt end, with a 1/8" backing, and barely had to touch up the middle 50% of the limb. BUT, that set up came to be after much trial and error, including 6-8 way too thick glue ups, or various other failures for various reasons.