1 week old constantly wants to nurse.

Sarah

I feed her and once she's done she falls asleep. I'll wake her up and she will start back up again. And we do this multiple times. When I take her off she seems satisfied and in a milk coma. Her arms and hands are very limp so I heard that's a sign that she is satisfied. Then she starts crying and gets fussy after we burp her. A pacifier will help soothe her sometimes but other times she realizes there's no food and starts crying so I feed her again. She's 1 week. First time mom and just not sure why she does this. Anyone else experience something similar?