Changing the name of my wordpress.com site

I changed the name of my wordpress website on my WebHost from damonarmani.info to nutratimes.com. Both websites were linked to the same file containing my WordPress files, but the nutratimes.com website will not work. I’m not sure what it is I’m doing wrong. On my dashboard the blog is under damonarmani.info but I cannot figure out how to change it to nutratimes.com. Is there something else I need to do in order to link the wordpress.com files to the nutratimes.com wordpress site?
Or if I make another blog under the same account in my wordpress.com account, would it work if I linked the new blog to the files? Or would it still not work?