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Quark-hadron crossover equations of state for neutron stars: constraining the chiral invariant mass in a parity doublet model

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arxiv 2011.13684 v3 pith:S5RJ5TEG submitted 2020-11-27 nucl-th astro-ph.HEhep-ph

Takuya Minamikawa , Toru Kojo , Masayasu Harada This is my paper · ORCID
classification nucl-thastro-ph.HEhep-ph
keywords chiralhadronicmassmattermodelquarkdensitydoublet
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abstract

We construct an equation of state (EOS) for neutron stars by interpolating hadronic EOS at low density and quark EOS at high density. A hadronic model based on the parity doublet structure is used for hadronic matter and a quark model of Nambu--Jona-Lasinio type is for quark matter. We assume crossover between hadronic matter and quark matter in the the color-flavor locked phase. The nucleon mass of the parity doublet model has a mass associated with the chiral symmetry breaking, and a chiral invariant mass $m_0$ which is insensitive to the chiral condensate. The value of $m_0$ affects the nuclear EOSs at low density, and has strong correlations with the radii of neutron stars. Using the constraint to the radius obtained by LIGO-Virgo and NICER, we find that $m_0$ is restricted as $600\,\mathrm{MeV}\lesssim m_0 \lesssim 900\,\mathrm{MeV}$.

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Cited by 5 Pith papers

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  1. Suppression of dynamical momentum-space shell by chiral symmetry

    nucl-th 2025-09 conditional novelty 6.0 of 10

    In a parity doublet model, self-consistent minimization keeps the quark fraction at zero up to about 8n0, showing quark onset and chiral restoration need not coincide.

  2. Ferromagnetic instabilities in quarkyonic matter

    nucl-th 2025-07 conditional novelty 6.0 of 10

    Quarkyonic neutron matter can turn ferromagnetic below about 5.5 n0, but only with a hand-chosen negative spin-spin interaction constant.

  3. Origin of nucleon mass in the light of PSR J0614-3329 with quark-hadron crossover

    nucl-th 2025-09 conditional novelty 5.0 of 10

    The parity doublet model combined with the new NICER radius measurement restricts the chiral invariant nucleon mass m0 to 800-860 MeV, implying it is at least 85% of the nucleon mass.

  4. Subsurface Vacancy Engineering Enables Atomically Clean and Oxidation-Resistant Copper Interfaces for Anode-Free Lithium Metal Batteries

    cond-mat.mtrl-sci 2025-08 reject novelty 5.0 of 10

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  5. Constraints on the strength of first-order phase transition and its relation to nucleon mass

    nucl-th 2025-05 conditional novelty 4.0 of 10

    Using a parity doublet hadronic model, an NJL quark model, and integral causality constraints, the paper finds that the maximum allowed first-order phase-transition density jump in neutron-star matter decreases as the...

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