Ohio allows only rifles with slower projectiles, similar to a shotgun. Like a 45-70. I may get this backward, but I believe the shell case has to be straight, it can’t have an indent.
No modern rifles. Only rifles allowed are black powder muzzle loaders, and those only during primitive weapon season. Shotgun slugs are OK.
Population density in Ohio is too high to allow modern rifles. The bullets carry too far.
Even primitive rifles can carry too far. There was a case in Ohio a few years ago in which a hunter was using a black powder muzzle loader. At the end of the day he hadn't gotten a deer. He "unloaded" his gun by firing it into the air. The bullet came down several hundred yards away and killed a woman.