Is It normal to have anxiety when away from my babies?

Every time Im away from my kids I get really bad anxiety only if its like a day or 2 overnight im okay if a family member wants to take them to the movies or chuck e cheese exc , for example when I was in the hospital having my 2nd daughter I had panic attack in the hospital because i missed my oldest so much they had to give a shot in the ;( the hospital didn't allow children in the room because that was when the whole Swine Flu was going on, and last night my sister in law took my daughter to see Family 2 1/2 hrs away and I will see her tonight but last night I was really paranoid and having bad anxiety heart was racing and couldn't breathe ;( Is it normal to feel this way? Or should I talk to my doctor about it? Im 4 months pregnant right now and Im already scared to away from them when im ready to deliver. Also i feel bad last time my sister in law wanted to take her for 4-5 days and I was like heck no I feel bad because she really wanted to spend time with her cousin. Also when shes away from me I worry that she is going to choke get run over by a car or some one is going to abuse ugggh whats wrong with me?