Abstract
The effect of the Σ-meson well depth on the gravitational redshift is examined within the framework of relativistic mean field theory for the baryon octet system. It is found that, for a stable neutron star, the gravitational redshift increases with the central energy density increase or with the mass increase but decreases as the radius increases. Considering a change of \(U_{\Sigma}^{(N)}\) from −30 MeV to 30 MeV, for a stable neutron star the gravitational redshift near to the maximum mass increases. In addition, it is also found that the growth of the \(U_{\Sigma}^{(N)}\) makes the gravitational redshift as a function of M max /R increase, the higher the \(U_{\Sigma}^{(N)}\) the less the change in the gravitational redshift.
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Zhao, XF. Constraining the gravitational redshift of a neutron star from the Σ-meson well depth. Astrophys Space Sci 332, 139–144 (2011). https://doi.org/10.1007/s10509-010-0498-4
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DOI: https://doi.org/10.1007/s10509-010-0498-4