Color Superconductivity with 2 and 3 Flavors in the Chromodielectric Model

Astronomy and Astrophysics – Astrophysics

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Strange Matter, Chiral Symmetry, Chromodieletric Model

Scientific paper

Recently, the color flavor locked phases (CFL) was studied in the Chromodielectric Model(CDM), implementing a BCS quark pairing interaction. In this study it was shown that strange quark matter is stable even for large potential energy and the CFL phase is the true ground state of the strange matter at high densities. This conclusion was restricted to strange matter, u, d and s quarks, and in this work we also investigate the color superconducting phase formed only by light quarks, known as the 2SC phase, that can exist at low densities. Furthermore, in this earlier study, the β-equilibrium condition, that needs to be obeyed by the matter in the interior of compact objects, was not taken into account. We show that as a consequence of this condition, the CFL phase exists at high densities and for moderate densities it is possible to obtain superconducting strange matter with massive quarks in a chiral symmetry broken regime, where the quarks Fermi momenta are not identical, only if the pairing ∆ ≤ 55 MeV. We present for the first time the results for the 2SC phase in the CDM taking into account β-equilibrium. We find that in the model the 2SC phase is never energetically favored in comparison to the superconducting strange quark matter.

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