We explore the effect of the $\sigma$-cut potential on the properties of neutron stars with and without a hyperon core. The analysis involves two sets of nuclear interactions, QMC-RMF3 and QMC-RMF4, which are constructed from a relativistic mean-field model based on chiral effective field theory. The $\sigma$-cut potential plays a significant role in reducing the impact of the $\sigma$ field at high densities, leading to a stiffer equation of state while preserving nuclear matter properties at saturation density. The parameter $f_s$ regulates the influence of the $\sigma$-cut potential at high densities, with values determined by observational data. We also investigate the influence of the $\sigma$-cut potential on symmetric nuclear matter and symmetry energy. Our results align well with other theoretical and observational data.

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• Effective field theory
• Nuclear forces
• Nuclear matter in neutron stars