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    Symmetry energy of 2+1 -flavor dense quark matter from perturbative QCD

    Isabella Danhoni1,*, Yumu Yang1,†, Mauricio Hippert2,‡, and Jacquelyn Noronha-Hostler1,§

    • *Contact author: idanhoni@illinois.edu
    • †Contact author: yumuy2@illinois.edu
    • ‡Contact author: hippert@cbpf.br
    • §Contact author: jnorhos@illinois.edu

    Phys. Rev. C 113, 045206 – Published 13 April, 2026

    DOI: https://doi.org/10.1103/5v39-l9lh

    Abstract

    The symmetry energy expansion was developed to connect isospin symmetric matter probed in nuclear experiments to asymmetric matter found in neutron stars. Using the isospin asymmetry derived from the Gell-Mann-Nishijima formula, we derive the symmetry energy expansion for quark matter, which has unique properties compared to hadronic matter. To test our methods, we use perturbative Quantum Chromodynamics (pQCD) calculations at next-to-leading order, where realistic quark masses can be included. We find that pQCD at electroweak equilibrium is not isospin symmetric but rather obtains a small skewness term in the symmetry energy expansion. We predict that if equations of state for nuclear matter must match pQCD results, then a nonmonotonic dip in the symmetry energy would appear.

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