Potential Depth of Σ in Nuclear Matter and Moment of Inertia of a Proto Neutron Star

Astronomy and Astrophysics – Astronomy

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Stars: Protostars, Stars: Evolution, Stars: Neutron

Scientific paper

Within the framework of relativistic mean field theory for the baryon octet system {n,p,Γ,Σ-,Σ0,Σ+,Ξ-,Ξ0}, the influence of the potential depth UΣ(N) of Σ in nuclear matter on the moment of inertia of a proto neutron star is investigated. It is found that the effect of the attractive potential depth UΣ(N) on the maximum mass of a proto neutron star is more than several dozen times larger than that of the repulsive one, and the effect of the attractive potential depth UΣ(N) on the radius corresponding to the maximum mass is larger than that of the repulsive one. It is also found that the moment of inertia corresponding to the maximum mass increases, respectively, by 0.44%, 0.29% and 0.08% for UΣ(N)=-30 MeV, -20 MeV, -10 MeV and 0 MeV, and increases by 0.06% and 0.10% for UΣ(N)=+10 MeV, +20 MeV and +30 MeV. The effect of negative UΣ(N) on the moment of inertia corresponding to the maximum mass is several times larger than that of positive one.

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