When I got into my accident (Guy decided to throw his truck into reverse at a stop light and drive up on my hood), I called the police right then and there.
The guy gave me his info and left, but I waited there for the police to arrive.
It's always best to get a police report in as soon as possible (Preferably at the scene of the accident) so stories can't get tossed and turned.
Best of luck, and sorry to see it happen to you
Also oddly enough, when my father got into an accident a few years ago .. some kid thinking he was cool in his Maxima in the snow T-boned him .. they went through insurance and (of course) it was the kids fault. However, it is on my dads driving report that he was
involved in an accident so when he was searching for motorcycle insurance last year, some places were quoting him ridiculous high prices just because he was in an accident, even though he was at no fault. Insurance companies are sketchy. I never had that issue.