Do anyone believe or know if it is possible to use a 220V-9V power adapter with the Metz 45 CL-4, to use in a studio situation?

I have the 45-39 battery pack and can quite easily solder an external 9V battery connector to the correct connectors.

But I don't want to fry the flashgun using something with too much power, and as we all know Metz warns against using rechargeables in the battery pack.

Any ideas?