In this contribution, we present for the first time a scenario according to
which early quark deconfinement in compact stars is triggered by the
Bose-Einstein condensation (BEC) of a light sexaquark (S) with a mass
mS<2054 MeV, that has been suggested as a candidate particle to explain the
baryonic dark matter in the Universe. The onset of S BEC marks the maximum mass
of hadronic neutron stars and it occurs when the condition for the baryon
chemical potential μb=mS/2 is fulfilled in the center of the star,
corresponding to Monset≲0.7M⊙. In the gravitational
field of the star the density of the BEC of the S increases until a new state
of the matter is attained, where each of the S-states got dissociated into a
triplet of color-flavor-locked (CFL) diquark states. These diquarks are the
Cooper pairs in the color superconducting CFL phase of quark matter, so that
the developed scenario corresponds to a BEC-BCS transition in strongly
interacting matter. For the description of the CFL phase, we develop here for
the first time the three-flavor extension of the density-functional formulation
of a chirally symmetric Lagrangian model of quark matter where confining
properties are encoded in a divergence of the scalar self-energy at low
densities and temperatures.Comment: 27 pages, 8 figures, Contribution to the Book "New Phenomena and New
States of Matter in the Universe. From Quarks to Cosmos" edited by C. A. Z.
Vasconcellos, P. O. Hess and T. Bolle