Seperation Anxiety

My son is currently 5 weeks old now and I've been experiencing horrible anxiety when he's not next to me. Even if he's in the living room with his father and I'm taking a shower or something that requires him to be out of sight. He will not sleep in his bassinet which is next to  my side of the bed. He loves sleeping in his crib now. That's great and I'm proud but I've been crying so much because he's in his room and not next to me. I wish I could bring his crib in next to me but there's no space due to our room size. I've never been so anxious/panicked  or cried so much. Is it normal? Could it be hormones? I've called my doctor and she told me it could be a sign of ppd.