You need to quit jump starting it and put the battery on a charger to get it fully charged. Fortunately, you have not burned up the stator (yet). The charging system on the machine is for maintaining a fully charged battery, not to recharge a low or dead one.
Once a fully charged battery is installed, run a jumper wire from the regulator 12V out charging pin directly to the battery positive and see if it has charging voltage (above idle). If it does, that would indicate an open in the harness or a bad connector pin. trace wire down to find the problem.
If the regulator is not putting out charge voltage (above idle), it is defective.