The Problem With Pan-Psychism

In principle, could this problem be resolved by science? Could scientists discover their mechanism within the brain that allows physical stuff to give rise to experience? I think that can't be done, and will never be done, simply because science has to produce publicly checkable results as it were essentially a third person enterprise. Science cannot evolve a vocabulary which includes experiential predicates. What I mean is it cannot have terms for experiential features because they are essentially private and not possibly publicly observable. In fact, strictly speaking, I can't even know that you have a mind at all. It's simply not a possible object of knowledge for the natural sciences.