Neutron star core-crust transition and the crustal moment of inertia in the nonlinear relativistic Hartree approximation* * Supported in part by the National Natural Science Foundation of China (11775049, 12375112)

We investigate the effects of the σ meson mass ( ), symmetry energy, and slope of the symmetry energy on the neutron star core-crust transition density and the crustal moment of inertia ( ) in the nonlinear relativistic Hartree approach (RHA), which includes vacuum polarization. Although the core-crust transition density ( ), pressure ( ), and neutron star radius (R), which are all dependent on the symmetry energy, contribute to determining , we find that changing only the slope of symmetry energy within a reasonable range is not sufficient to reach % to achieve the large glitches of the Vela pulsar. However, since all three factors ( , , and R) increase with the increase in through scalar vacuum polarization, adjusting can easily achieve %.