  In the present paper, I have investigated a neutral current (NC)
antineutrinos scattering with neutron star (NS) matter constituents at zero
temperature. The modeling of the standard matters in NS is constructed in the
framework of both extended relativistic mean-field (E-RMF) and nonrelativistic
Korea-IBS-Daegu-SKKU energy density functional (KIDS-EDF) models. In the E-RMF
model, I use a new parameter of G3(M), which was constrained by the recent PREX
II experiment measurement of neutron distribution of $^{208}\rm{Pb}$, while the
KIDS-EDF models are constrained by terrestrial experiments, gravitational-wave
signals, and astrophysical observations. Using both realistic and
well-constrained matter models, I then calculate the antineutrino differential
cross-section (ADCS) and antineutrino mean free path (AMFP) of the
antineutrinos-NS matter constituents interaction using a linear response
theory. It is found that the AMFP for the KIDS0 and KIDSA models are smaller in
comparison to the SLy4 model and the E-RMF model with the G3(M) parameter. The
AMFP result of the Skyrme model with the SLy4 parameter set is found to have an
almost similar prediction to that of the E-RMF model with the G3(M) parameter.
Contributions of each nucleon to total AMFP are also presented for the G3(M)
model.
