Compact stars may contain quark matter in their interiors at densities
exceeding several times the nuclear saturation density. We explore models of
such compact stars where there are two first-order phase transitions: the first
from nuclear matter to a quark-matter phase, followed at higher density by
another first-order transition to a different quark matter phase [e.g., from
the two-flavor color superconducting (2SC) to the color-flavor-locked (CFL)
phase). We show that this can give rise to two separate branches of hybrid
stars, separated from each other and from the nuclear branch by instability
regions and, therefore, to a new family of compact stars, denser than the
ordinary hybrid stars. In a range of parameters, one may obtain twin hybrid
stars (hybrid stars with the same masses but different radii) and even triplets
where three stars, with inner cores of nuclear matter, 2SC matter, and CFL
matter, respectively, all have the same mass but different radii.Comment: v2: 6 pages, 5 figures, matches published version. v1: 5 pages, 5
figures, uses RevTe