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Main Authors: Yamamoto, Y., Yasutake, N., Rijken, Th. A.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2408.03812
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author Yamamoto, Y.
Yasutake, N.
Rijken, Th. A.
author_facet Yamamoto, Y.
Yasutake, N.
Rijken, Th. A.
contents The nucleon-quark mixed matter is defined in the Brueckner-Hartree-Fock framework, in which quark densities are determined by equilibrium conditions between nucleon and quark chemical potentials, and nucleon-quark interactions play critical roles for resulting EoSs (equation of state). The two models of EoSs are derived from the nucleon-quark mixed matter (NQMM): The NQMM-A EoSs are based on the simple assumption that nucleons and free quarks occupy their respective Fermi levels and their Fermi spheres overlap from each other. In NQMM-B EoSs, the quark Fermi repulsion effect is incorporated on the basis of quakyonic matter, meaning that the nucleon Fermi levels are pushed up from the quark Fermi sphere by the Pauli exclusion principle. For the NQMM-A EoSs, the neutron-star mass-radius ($MR$) curves are pushed up above the region of $M \sim 2.1M_\odot$ and $R_{2.1M_\odot}\sim$ 12.5 km indicated by the recent observations, as the $qN$ repulsions increase. For the NQMM-B EoSs, the similar results are obtained by the combined contributions from the $qN$ repulsion and the quark Fermi repulsion. In both models of EoSs, the important roles of the $qN$ di-quark exchange repulsions are demonstrated to reproduce reasonable values of $M_{max}$ and $R_{2.1M_\odot}$.
format Preprint
id arxiv_https___arxiv_org_abs_2408_03812
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Nucleon-quark mixed matter and neutron star EOS
Yamamoto, Y.
Yasutake, N.
Rijken, Th. A.
Nuclear Theory
The nucleon-quark mixed matter is defined in the Brueckner-Hartree-Fock framework, in which quark densities are determined by equilibrium conditions between nucleon and quark chemical potentials, and nucleon-quark interactions play critical roles for resulting EoSs (equation of state). The two models of EoSs are derived from the nucleon-quark mixed matter (NQMM): The NQMM-A EoSs are based on the simple assumption that nucleons and free quarks occupy their respective Fermi levels and their Fermi spheres overlap from each other. In NQMM-B EoSs, the quark Fermi repulsion effect is incorporated on the basis of quakyonic matter, meaning that the nucleon Fermi levels are pushed up from the quark Fermi sphere by the Pauli exclusion principle. For the NQMM-A EoSs, the neutron-star mass-radius ($MR$) curves are pushed up above the region of $M \sim 2.1M_\odot$ and $R_{2.1M_\odot}\sim$ 12.5 km indicated by the recent observations, as the $qN$ repulsions increase. For the NQMM-B EoSs, the similar results are obtained by the combined contributions from the $qN$ repulsion and the quark Fermi repulsion. In both models of EoSs, the important roles of the $qN$ di-quark exchange repulsions are demonstrated to reproduce reasonable values of $M_{max}$ and $R_{2.1M_\odot}$.
title Nucleon-quark mixed matter and neutron star EOS
topic Nuclear Theory
url https://arxiv.org/abs/2408.03812