Daddy issues

So my husband seems to want nothing to do with our baby.. when we first got pregnant he was so happy and wanted to tell everyone. Then he just didn't care. He wasn't the kind of guy to rub my belly or talk to the baby or anything like that. Most nights I'd be up on my own recording her kicks and rubbing and poking her and I'd show him and he wouldn't care. Then when our baby was born he got so happy again. Held her the whole time we were in the hospital. Followed the nurses around into the nursery. Watch all of the videos the hospital provided for how to take care of her. Then when we got home he didn't care. He doesn't hold her, he actually throws a 3 year old tantrum if I ask him to hold her. He'll ask 'why can't you just put her in her swing?!' and huff and puff.. and if he does hold her after I beg he immediately puts her in her swing himself. He doesn't talk to her or play with her of give her cuddles and kisses. Our baby is THE BEST baby.. she never cries, sleeps ALL night, and is super happy and talkative.. idk what is happening but it's exhausting feeling like I'm the only parent and it hurts that he doesn't want anything to do with her. I've asked if he's depressed and he isn't. He just wants to go out and do his own thing. Idk what would you do or think?