The Inconsistency of Superfluid Dark Matter with Milky Way Dynamics
  There are many well-known correlations between dark matter and baryons that
exist on galactic scales. These correlations can essentially be encompassed by
a simple scaling relation between observed and baryonic accelerations,
historically known as the Mass Discrepancy Acceleration Relation (MDAR). The
existence of such a relation has prompted many theories that attempt to explain
the correlations by invoking additional fundamental forces on baryons. The
standard lore has been that a theory that reduces to the MDAR on galaxy scales
but behaves like cold dark matter (CDM) on larger scales provides an excellent
fit to data, since CDM is desirable on scales of clusters and above. However,
this statement should be revised in light of recent results showing that a
fundamental force that reproduces the MDAR is challenged by Milky Way dynamics.
In this study, we test this claim on the example of Superfluid Dark Matter. We
find that a standard CDM model is strongly preferred over a static superfluid
profile. This is due to the fact that the superfluid model over-predicts
vertical accelerations, even while reproducing galactic rotation curves. Our
results establish an important criterion that any dark matter model must
satisfy within the Milky Way.
