Newborn attachment.

Amira • My son Kayden Kennedy was born June 28th 2015 😍
My 1 month old is very attached to me if he goes into someone else's arms for a long period of time he crys for me. I had to make an errand left him with his father when I came back the baby was crying he said he did everything to make him stop but he wouldn't stop crying I picked him up he immediately stopped crying is this normal?