Constraining the gravitational redshift of a neutron star from the Σ-meson well depth

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Redshit, Neutron Star, Relativistic Mean Field Theory

Scientific paper

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_{Σ}^{(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_{Σ}^{(N)} makes the gravitational redshift as a function of M max / R increase, the higher the U_{Σ}^{(N)} the less the change in the gravitational redshift.

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