Um… No?
The system is simple, the damage (in ingame damage units) for any projectile is the square root of the kinetic energy of the projectile. 9x19mm rounds have a kinetic energy of 481J, so they have a damage of 22ish. However, arrows aren’t bullets, as you’re probably aware, so they have this thing called a terminal ballistics modifier. Basically this represents the fact that instead of just applying all the energy in the projectile to the target directly, a lot of the energy is being spread over a bladed tip, cutting through flesh and causing more actual damage than a pointed projectile with the same energy. The TB modifier for broadheads is x2.4 from memory. However, I make the assumption that bows aren’t going to fire any rocks, so they start modified by x2, so the broadhead arrow only needs a 1.2x modifier, as they currently do.
In practice, this means that an 80lb compound bow, which has a ‘muzzle’ energy of around 140J, has a base damage value of 12. Multiply that by the base TB multiplier of x2, and we get 24, WHICH IS WHAT’S LISTED AS THE DAMAGE VALUE FOR THE 80LB COMPOUND BOW. IT’S ALMOST AS IF I KNOW WHAT I’M DOING.
For the 200lb bow, there’s a paper somewhere where a team basically showed that you can relatively accurately model compound bows (and probably most other bows actually) as a spring using Hooke’s law, which means that K.E is directly proportional to the poundage of the bow.
What that all means is that my numbers are correct, unless there’s a flaw somewhere in our well entrenched K.E -> damage system which has been in use far longer than I’ve been around. Which means that melee scaling is broken, which it pretty obviously is, considering being twice as strong means you do barely any extra damage unless you’re trying to slap someone with a wet sock. You can go fix that if you want to, but I have better things to do.
If you want to know more about terminal ballistics you can see if Poragon is willing to speak to you.
Also, I can find pretty good reason to justify the compound bows having about twice their current damage, so my numbers are actually pretty conservative.