Isobaric incompressibility of the isospin asymmetric nuclear matter

Abstract

The isospin dependence of the saturation properties of asymmetric nuclear matter, particularly the incompressibility $K_\infty (X) = K_\infty + K_τX^2 + O(X^4)$ at saturation density is systematically studied using density dependent M3Y interaction. The $K_τ$ characterizes the isospin dependence of the incompressibility at saturation density $ρ_0$. The approximate expression $K_{asy} \approx K_{sym}-6L$ is often used for $K_τ$ where $L$ and $K_{sym}$ represent, respectively, the slope and curvature parameters of the symmetry energy at $ρ_0$. It can be expressed accurately as $K_τ=K_{sym}-6L-\frac{Q_0}{K_\infty}L$ where $Q_0$ is the third-order derivative parameter of symmetric nuclear matter at $ρ_0$. The results of this addendum to Phys. Rev. C 80, 011305(R) (2009) indicate that the $Q_0$ contribution to $K_τ$ is not insignificant.