Guitar help

[C0FFINCASE]

I understand what your saying is broken. A battery will not work if that wire is broken. There should be a ac plug spot on the side of it somewhere and the adapter will skip the whole battery part of the circuit. You either have to buy the ac adapter or solder the wire back together and put a battery in. You need to use the adapter that is specific to the pedal/company/brand.
Or buy a new pedal, its just an OD pedal not hard to find and not terribly expensive.