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Neutron star matter based on a parity doublet model including the $a_0(980)$ meson

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arxiv 2306.08140 v3 pith:WWLBIAS3 submitted 2023-06-13 nucl-th astro-ph.HEhep-ph

Yuk Kei Kong , Takuya Minamikawa , Masayasu Harada This is my paper · ORCID
classification nucl-thastro-ph.HEhep-ph
keywords mattermesonchiralfindneutronnucleonstarsymmetry
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the effect of the isovector-scalar meson $a_0$(980) on the properties of nuclear matter and the neutron star (NS) matter by constructing a parity doublet model with including the $a_0$ meson based on the chiral SU(2)$_L\times$SU(2)$_R$ symmetry. We also include the $\omega$-$\rho$ mixing contribution to adjust the slope parameter at the saturation. We find that, when the chiral invariant mass of nucleon $m_0$ is smaller than about 800 MeV, the existence of $a_0$(980) enlarges the symmetry energy by strengthening the repulsive $\rho$ meson coupling. On the other hand, for large $m_0$ where the Yukawa coupling of $a_0$(980) to nucleon is small, the symmetry energy is reduced by the effect of $\omega$-$\rho$ mixing. We then construct the equation of state (EoS) of a neutron star matter to obtain the mass-radius relation of NS. We find that, in most choices of $m_0$, the existence of $a_0$(980) stiffens the EoS and makes the radius of NS larger. We then constrain the chiral invariant mass of nucleon from the observational data of NS, and find that $580 \,\text{ MeV} \lesssim m_0 \lesssim 860 \,\text{ MeV} $ for $L_0=57.7$ MeV.

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Cited by 5 Pith papers

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  1. Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter

    nucl-th 2025-11 unverdicted novelty 6.0 of 10

    Including baryonic vacuum fluctuations in the parity-doublet model through an RG-invariant mean-field scheme moves the chiral transition to higher densities and turns it into a smooth crossover for most values of the ...

  2. 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.

  3. 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.

  4. 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.

  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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