The Potential Well-Depth {U_{Σ}^{(N)}} Constraints on the Surface Gravitational Red-shift of a Proto Neutron Star

Astronomy and Astrophysics – Astrophysics

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Surface Gravitational Red-Shift, The Relativistic Mean Field Thoery, Proto Neutron Star

Scientific paper

The influence of the potential well depth U_{Σ}^{(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_{Σ}^{(N)} increases from -35 MeV to +35 MeV, the surface gravitational red-shift increases and the influence of the negative U_{Σ}^{(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_{Σ}^{(N)} increases, M max and R being the maximum mass of the proto neutron star and the corresponding radius respectively.

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