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Locating strongly coupled color superconductivity using universality and experiments with trapped ultracold atoms

Cold fermionic atoms are known to enter the universal strongly coupled regime as their scattering length $a$ gets large compared to the inter-particle distances. Recent experimental data provide important critical parameters of such system. We argue that quarks may enter the same regime due to marginal binding of diquarks, and if so one can use its universality in order to deduce such properties as the slope of the critical line of color superconductivity, $dT_c/dμ$. We further discuss limitations on the critical temperature itself and conclude that it is limited by $T_c<70\, MeV$.