Strong correlation of the neutron star core-crust transition density with the $\sigma$-meson mass via vacuum polarization

Abstract

We study the neutron star core-crust transition density ${\rho }_t$ with the inclusion of the vacuum polarization in the dielectric function in the nonlinear relativistic Hartree approach (RHAn). It is found that the strong correlation between the ${\rho }_t$ and the scalar meson mass $m_{\sigma }$ strikingly overwhelms the uncertainty of the nuclear equation of state in the RHAn models, in contrast to the usual awareness that ${\rho }_t$ is predominantly sensitive to the isovector nuclear potential and symmetry energy. The accurate extraction of ${\rho }_t$ through the future gravitational wave measurements can thus provide a strong constraint on the longstanding uncertainty of $m_{\sigma }$, which is of significance to better infer the vacuum property. As an astrophysical implication, it suggests that the correlation between ${\rho }_t$ and $m_{\sigma }$ is very favorable to reconcile the difficulty in reproducing the large crustal moment of inertia for the pulsar glitches with the well constrained symmetry energy.

arXiv comment11 pages, 4 figures

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