Actually, I believe the Bank Service Company Act requires notification regarding certain services that are outsourced. I can't tell from the OP if the new "core processor" is just the application, or actual servicing of accounts.
In any case, the BSCA is
here.
And a FIL from the FDIC regarding this is
here.
We have filed these forms for our internet banking provider, our ATM network provider, our online mortgage application provider and managed security services (firewall and IDS) provider.