TABLE II: Maximal pairing gap at the Fermi surface Δ max F obtained with several ΛΛ potentials; ρ$_{B}$ is the total baryon density of neutron star matter where Δ max F is obtained, and k Λ F and m ∗ Λ are the corresponding Fermi momentum and effective mass of Λ hyperons, respectively. FIG. 1: (Color online) $^{1}$S$_{0}$ ΛΛ interaction potentials used in this article. 18 0.6 0.8 1.0 1.2 1.4 1.6 -150 -100 -50 0 50 100 150 r (fm)  ND1  NSC97f  ND2  NFs   ESC00  NSC97s  NSC97b  Urbana  NSC97e V$^{Λ}$$^{Λ}$ (r) (MeV) TM1 NL3 ρ$_{B}$ k Λ F m ∗ Λ Δ max F ρ$_{B}$ k Λ F m ∗ Λ Δ max F (fm − $^{3}$) (fm − $^{1}$) (MeV) (MeV) (fm − $^{3}$) (fm − $^{1}$) (MeV) (MeV) ND1 0.344 0.738 743 0.17 0.303 0.731 706 0.12 ND2 0.339 0.681 747 0.10 0.298 0.664 711 0.06 ESC00 0.349 0.789 740 0.81 0.305 0.762 704 0.62 NSC97b - - - - - - - - NSC97e 0.329 0.548 753 1 . 2 × 10 − 4 - - - - NSC97f - - - - - - - - NFs 0.329 0.548 753 5 . 4 × 10 − 4 - - - - NSC97s 0.329 0.548 753 4 . 0 × 10 − 4 - - - - Urbana 0.329 0.548 753 5 . 5 × 10 − 4 - - - -