

Believe it or not, that’s not an uncommon feeling. Evolutionary wise, there’s no particular reason for the dad to bond with the baby. It’s completely dependent on mum. What we get is often a spillover for the drive to get mum to bond.
I was lucky and had that bond kick in quite quickly, but it’s ok if it doesn’t. Likely it will kick in around 6 months, as the baby becomes more “interesting”. Until then, be a good husband.
It’s also worth noting that you are entering peak “emergency mode”. Right now the baby is completely dependent on you. It hasn’t settled down into a routine, and you are running low on sleep. They combine to utterly screw with your head.
The mentality that got me through that zone was this: mum looks after the baby, I look after mum. I made sure she had regular meals. That she had time for a shower. That she could have a coherent night sleep.
Something that might help is to sniff your baby’s head. Babies put off powerful pheromones, designed to reinforce the bonds. Unfortunately, not everyone has active pheromone receptors. If you do though, that smell is like crack cocaine.
In short, you’re doing well. Baby is safe and cared for, and you’re doing your share of that work. Anything else is a bonus.
That’s ok, not everyone gets that hit. A significant number of people (I want to say around 20%) don’t have the nerve connecting their pheromone receptors to their brain. It sounds like you are in that group.
The bond will still form, it will just be later, and based on interactions, rather than hormonal. It’ll be worth it eventually. Just focus on being a good dad, even if it’s just by rote. It’ll come.