* DNA found loose in the nucleus is called chromatin. This is the general term for the complex of DNA and proteins that make up chromosomes. In this state, the DNA is less tightly packed and more accessible for processes like transcription (the copying of DNA into RNA).

* DNA wrapped around histones is also called chromatin, but more specifically, it's referred to as nucleosomes. Histones are proteins that act like spools around which DNA wraps. This wrapping helps to compact and organize the DNA within the nucleus.

So, to be precise, the DNA is called chromatin in both cases. However, the specific term nucleosomes highlights the fact that the DNA is wrapped around histones.