new mom love??

hi...my baby is 5 days old today and yesterday i had the baby blues...crying for no reason at all...but today, as we started having visitors, i realized i dont want people holding my baby or dont want to be away from her...im overwhelmed with how much love i have for this tiny person...i miss being pregnant mainly because it was just a relationship i had with her....is this normal?? i just feel like i lover her so much and am overwhelmed by how strong this feeling is that it makes me cry