In particle terms the difference between neutron and baryon

is that neutron is a subatomic particle forming part of the nucleus of an atom and having no charge; it is a combination of an up quark and two down quarks while baryon is a heavy subatomic particle created by the binding of quarks by gluons; a hadron containing three quarks. Baryons have half-odd integral spin and are thus fermions. This category includes the common proton and neutron of the atomic nucleus.