Isobaric incompressibility of isospin asymmetric nuclear matter

The isospin dependence of the saturation properties of asymmetric nuclear matter, particularly the incompressibility K_∞(X)=K_∞+K_τX²+O(X⁴) at saturation density, is systematically studied using density-dependent M3Y interaction. K_τ characterizes the isospin dependence of the incompressibility at saturation density ρ₀. The approximate expression K_asy≈K_sym-6L is often used for K_τ where L and K_sym represent the slope and curvature parameters of the symmetry energy at ρ₀, respectively. It can be expressed accurately as K_τ=K_sym-6L-(Q₀/K_∞)L, where Q₀ is the third-order-derivative parameter of symmetric nuclear matter at ρ₀. The results of this addendum to [ Phys. Rev. C 80 011305 (2009)] indicate that the Q₀ contribution to K_τ is not insignificant.