Abstract
The influence of the potential well depth \(U_{\Sigma}^{(N)}\) of Σ in nuclear matter on the surface gravitational red-shift of a proto neutron star is examined within the framework of the relativistic mean field theory for the baryon octet system. It is found that as \(U_{\Sigma}^{(N)}\) increases from −35 MeV to +35 MeV, the surface gravitational red-shift increases and the influence of the negative \(U_{\Sigma}^{(N)}\) on the surface gravitational red-shift is larger than that of the positive ones. Furthermore, the M max/R and the surface gravitational red-shift corresponding to the maximum mass all increase as the \(U_{\Sigma}^{(N)}\) increases, M max and R being the maximum mass of the proto neutron star and the corresponding radius respectively.
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Zhao, XF. The Potential Well-Depth \({U_{\Sigma}^{(N)}}\) Constraints on the Surface Gravitational Red-shift of a Proto Neutron Star. J Astrophys Astron 32, 391–399 (2011). https://doi.org/10.1007/s12036-011-9089-1
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DOI: https://doi.org/10.1007/s12036-011-9089-1