Is it possible to stay in the Chornobyl Zone?

I saw news that camera traps are operating in the Chornobyl Biosphere Reserve and animals are being monitored because it is now safe there for wild nature. But if, for example, I want to go there on an excursion or just to look at nature, is it legal at all? What restrictions for ordinary people on entering the Chornobyl Zone remain, and are any special permits required?