Abstract
The heavy-quark effects on the equation of state for cold and dense quark matter are obtained from perturbative QCD, yielding observables parametrized only by the renormalization scale. In particular, we investigate the thermodynamics of charm quark matter under the constraints of β equilibrium and electric charge neutrality in a region of densities where perturbative QCD is, in principle, much more reliable. Finally, we analyze the stability of charm stars, which might be realized as a new branch of ultradense hybrid compact stars, and find that such self-bound stars are unstable under radial oscillations.
Highlights
The presence of heavy flavors in cold quark matter might have non-trivial effects in matter subject to extreme conditions of density
Perturbative quantum chromodynamics can be used much more confidently at these very high densities [3] when building the equation of state (EoS) for charm matter1 in electroweak equilibrium
We build our framework using the formalism developed in Ref. [6] for N f = Nl + 1 flavors, i.e. Nl is the number of massless quarks and “1" the massive flavor, to include any number of massive flavors and determine the associated EoS
Summary
The presence of heavy flavors in cold quark matter might have non-trivial effects in matter subject to extreme conditions of density. Perturbative quantum chromodynamics (pQCD) can be used much more confidently at these very high densities [3] when building the equation of state (EoS) for charm matter in electroweak equilibrium. In this proceeding, we investigate cold quark matter with heavy quarks using in-medium pQCD. As an application of our framework, we discuss charm matter in β equilibrium and being electrically neutral This allow us to discuss the existence charm quark stars from the pQCD viewpoint. By applying the Gondek’s method [8] for a couple of first-order differential equations for the Lagrangian radial displacements, our calculations indicate that such self-bound stars are unstable
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