Bella's lullaby? stepheniemeyer.com says it's by carter burwell but then they play the song by yiruma?

Robert was given the opportunity to write Bella's Lullaby for the movie, but it doesn't seem that his worked out. Carter Burwell is listed as the composer for the lullaby on the soundtrack, and he's written many movie scores, so perhaps his will be wonderful. I also like River Flows In You, but nothing was ever officially announced that it was going to be on the soundtrack...By the way, Robert Pattinson does have a song on the soundtrack, not the lullaby though...the Twilight Soundtrack is available for pre-order on Amazon.com