You could try to detach the database, copy the files to new names at a command prompt, then attach both DBs.
In SQL:
USE master;
GO
EXEC sp_detach_db
@dbname = N'OriginalDB';
GO
At Command prompt (I've simplified the file paths for the sake of this example):
copy c:\OriginalDB.mdf c:\NewDB.mdf
copy c:\OriginalDB.ldf c:\NewDB.ldf
In SQL again:
USE master;
GO
CREATE DATABASE OriginalDB
ON (FILENAME = 'C:\OriginalDB.mdf'),
(FILENAME = 'C:\OriginalDB.ldf')
FOR ATTACH;
GO
CREATE DATABASE NewDB
ON (FILENAME = 'C:\NewDB.mdf'),
(FILENAME = 'C:\NewDB.ldf')
FOR ATTACH;
GO