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The Σ Well Depth and the Proto Neutron Star Matter

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Abstract

The effect of the Σ well depth \(U_{\varSigma}^{(N)}\) on a proto neutron star (PNS) is examined within the framework of relativistic mean field theory for the baryon octet system. It is found that the well depth \(U_{\varSigma}^{(N)}\) will affect the structures of the PNS. With the well depth \(U_{\varSigma}^{(N)}\) growing from 0 to 30 MeV, the field strength of meson ρ, the chemical potentials of electrons and neutrons, the relative number density of p, e, μ, Λ, Ξ 0, the mass and the pressure of a PNS all increase while the relative number density of n, Ξ −, Σ −, Σ 0, Σ + decrease. It is also found that the larger changes of the hyperon coupling constants, which is connected to the Σ well depth \(U_{\varSigma}^{(N)}\), will lead to the smaller changes in the neutron star mass and this shows the mass of PNS is not very sensitive to the hyperon coupling constants.

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Acknowledgements

We are thankful to the anonymous referee for many useful comments and suggestions. This work was supported by the Anhui Provincial Natural Science Foundation under grant 1208085MA09, the Natural Science Research Program Foundation of Institutions of Higher Education of Anhui Province under grant KJ2012Z297 and the Fundamental Research Funds for the Central Universities under grant SWJTU12ZT11.

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  1. College of Mechanical and Electronic Engineering, Chuzhou University, Chuzhou, 239000, China

    Xian-Feng Zhao

  2. Institute for Modern Physics, Southwest Jiaotong University, Chengdu, 610031, China

    Li Zhang

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Correspondence to Xian-Feng Zhao.

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Zhao, XF., Zhang, L. The Σ Well Depth and the Proto Neutron Star Matter. Int J Theor Phys 52, 429–440 (2013). https://doi.org/10.1007/s10773-012-1349-6

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  • DOI: https://doi.org/10.1007/s10773-012-1349-6

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