0.00 0. 25 0.50 0.75 1.00  ESC00  ND1  ND2 TM1 0.25 0.30 0.35 0.40 0.45 0.50 0.00 0.25 0.50 0.75 F ( MeV)  (fm$^{-3}$) NL3 FIG. 2: (Color online) $^{1}$S$_{0}$ pairing gap of Λ hyperons at the Fermi surface Δ$_{F}$ as a function of baryon density ρ$_{B}$ in neutron star matter with the ND1, ND2, and ESC00 potentials: (top) TM1 and (bottom) NL3. 10 -3 10 -2 10 -1 10 0 0 _ _ e _ Y i p TM1 n  (fm$^{-3}$) 0.0 0.2 0.4 0.6 0.8 1.0 10 -3 10 -2 10 -1 0 _ _ e _ p n NL3 FIG. 3: (Color online) Particle fraction Y$_{i}$ = ρ$_{i}$/ρ$_{B}$ as a function of baryon density ρ$_{B}$ : (top) TM1 and (bottom) NL3. 19