Yes, the song is indeed titled Date A Live.
I dunno why but I really like this song. Hope you do, too!
Lyrics:
Daremo ga utsumuku machi (Dead or Alive)
Kawaita kaze fukinuketeku
Hikari motometa hitomi (Dead or Alive)
Utsuru no wa zetsubou dake
Dare ni mo todokanai sakebi
Sagasu sono te de tomete
Nanimo kamo kowareta sekai de
Riyuu mo wakaranai mama ni
Fureta yasashisa ga mada kowakute
Ana no aita kokoro no sukima
Umete kureru hito wa kimi na no?
Erande Date A Live