The police gave him a citation that means he did sth wrong. Get a police report first you will know what the police says about the accident. Sometime even if the police did not say who is the at-fault driver, he will express his tendency.
Your wife can say what happened. Generally, it will be useful.
Pay attention to see if you, your wife, your baby have any pain resulting from this accident. If yes, contact a local law firm dealing with personal injury. They generally do not charge you until they recover money from the other driver's insurance co. It's really helpful.