Disassociating after birth

I just gave birth to my baby yesterday. We have a 2 year old who stayed with grandparents. Visitors weren't allowed so we went 2 days without seeing her. We did everything possible to leave as quickly as we could. When we left the hospital, I felt weird. Like it didn't feel like my life. Like I didn't know how I got there. And i dont feel a deep connection with my new baby. When I saw my daughter I felt like I had been living 2 different lives. Is this normal?? I'm freaking out because I don't like how I'm feeling