How the Edge of Our Galaxy Defies Known Physics

I've wondered if Dark Matter naturally bonds to matter and the Dark Matter out there is unbonded material (because there is more of it).  This would suggest that there could be Dark Matter-less matter out there and it would weigh differently and have different energies (could we knock some loose (so to speak) with the LHC?).  It stands to reason that it is possible that a material exists that doesn't interact with light.  It has all other properties of matter except it simply doesn't absorb or reflect light photons.  Is anyone investigating what the properties of a particle would have to be to not interact with light?