Sleep specialist

My daughter is 5 weeks old and is having A LOT of trouble sleeping at night. It seems like she just hates sleeping on her back she tosses and turns all night making all sorts of noises and the only way she will sleep is on my chest.  I'm at a loss of what to do, most nights I just lay there and cry with her because I'm running on empty. Has anyone contacted a sleep specialist? Was it helpful/worth it? Or has anyone gone through the same and found a way to cope? Advice please😩