In this work, we research the properties of neutron stars using the nonlinear relativistic mean-field theory and consider multiple degrees of freedom inside neutron stars, including hyperons and Δ\documentclass[12pt]{minimal}
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\begin{document}$$\Delta$$\end{document} resonances. We investigate different coupling parameters xσΔ\documentclass[12pt]{minimal}
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\begin{document}$$x_{\sigma \Delta }$$\end{document} between Δ\documentclass[12pt]{minimal}
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\begin{document}$$\Delta$$\end{document} resonances and nucleons and compare the differences between neutron stars with and without strange mesons σ∗\documentclass[12pt]{minimal}
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\begin{document}$$\sigma ^*$$\end{document} and ϕ\documentclass[12pt]{minimal}
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\begin{document}$$\phi$$\end{document} These effects include particle number distributions, equations of state (EOS), mass–radius relations, and tidal deformabilities. To overcome the “hyperon puzzle,” we employ the σ-cut\documentclass[12pt]{minimal}
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\begin{document}$$\sigma -cut$$\end{document} scheme to obtain neutron stars with masses up to 2M⊙\documentclass[12pt]{minimal}
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\begin{document}$$2M_{\odot }$$\end{document}. We find that strange mesons appear at around 3ρ0\documentclass[12pt]{minimal}
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\begin{document}$$\rho _0$$\end{document} and reduce the critical density of baryons in the high-density region. With increasing coupling parameter xσΔ\documentclass[12pt]{minimal}
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\begin{document}$$x_{\sigma \Delta }$$\end{document}, the Δ\documentclass[12pt]{minimal}
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\begin{document}$$\Delta$$\end{document} resonances suppress hyperons, leading to a shift of the critical density toward lower values. The early occurrence of Δ\documentclass[12pt]{minimal}
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\begin{document}$$\Delta$$\end{document} resonances may play a crucial role in the stability of neutron stars. Strange mesons soften the EOS slightly, while Δ\documentclass[12pt]{minimal}
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\begin{document}$$\Delta$$\end{document} resonances predominantly soften the EOS in the low-density region. By calculating tidal deformabilities and comparing with astronomical event GW170817, we find that the inclusion of Δ\documentclass[12pt]{minimal}
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\begin{document}$$\Delta$$\end{document} resonances decreases the radius of neutron stars.