Had the same issue, but only happened after I did the 'DeSmog'. Probably caused the leak when doing the R&R on the carb bank.
Before you tear in to it, order the 'O' Rings (11 & 12) in the picture, as that is where mine was leaking.

You will need 3 of the # 11, and 1 of the # 12. The job is not too bad, but you need to drain the coolant, remove the radiator, and to make life much easier, remove the frame cross member that blocks clear access to the thermostat.
Another thing to consider... Your bike is 11 years old. This is a great time to replace the upper and lower radiator hoses. Also, I replaced the thermostat and gasket, and some sensors, but that may have been over kill on my part.
At the worst, it's a 3 scotch job...

Also a great way to get to know yer lady better, and to put yer mind at ease, knowing you have replaced some pretty old rubber parts.
Black Dog