No, there should be a "next step" from your side.
Have you had a look at Oracle's CertView database (http://certview.oracle.com)?
The result of your accomplishments should be visible there. If not, I advise you to contact Oracle.
You will also see when they have (if they have) mailed out a success kit for your certification.
Yes, I checked in Oracle's CertView database and my certification history was not visible there.
Latter on I contacted Oracle and asked them to merge my Prometric ID with the new Oracle ID. They have taken up my request and lets see how it goes from here.