Just to add to Allan's comments.
I had a quick look at the Hähnel website and they make no reference to the specs on their plates or clamps, so I suspect that it is likely a proprietary design. If that is the case, you are stuck with the gear that they offer or you will have to either replace the ball head or depending on how the clamp is attached to the ball head, possibly only the clamp itself.
In general, the legs and ball heads on better tripods are independent and can be detached; no need to use a ball head and triopd legs from the same manufacturer. As an example; I have a Feisol tripod, fitted with a Really Right Stuff (RRS) ball head. This means you could replace your ballhead / clamp mechanism with one that is compatible with your L-bracket. If you have an Arca-Swiss type L-bracket, then you can probably pick up just about any ballhead with that style of mount and put it on your tripod.