Long-term evolution of the quasi-steady thermal luminosities for a neutron star with M = 1.8 M_⊙ without accretion and with long-term steady accretion at different rates ⟨Ṁ⟩ for different physics inputs in the core. The model with the standard nucleon superfluidity and effective masses consistent with the BSk24 EoS (solid lines) is compared with the results of using suppressed neutron-triplet superfluidity in the core according to models of Ding et al. (2016) “N3LO SRC+P” (dashed lines) and “Av18 SRC+P” (dot-dashed lines), or with the alternative model (BBST instead of BSk24) for the nucleon effective masses (dotted curves).