Now that rabbits no longer need to be tamed in order to be bred, I'd expect them to behave somewhat like pigs.

When right-clicking a pig that's following you with a carrot, the pig stops following you and finds a mate.
Rabbits keep staring at the player with the heart particles popping up on top of them and won't breed until the player either goes away or changes the item it's holding.

(thought rabbits teleported, but we've stablished that it was just me being a derp, so I retracted this part of the bug report)