I'm so in love with my baby

I can't stare at Oliver without crying my eyes out. I literally love him so much it hurts. I've probably cried like 15 times since I've had him, simply because I love him so much. Is that normal? My love for him is so intense, I can't handle it. Do any of you cry over your babies? I dont know what I'd do if anything ever happened to my sweet innocent baby.