Isobaric incompressibility of the isospin asymmetric nuclear matter

Abstract

The isospin dependence of the saturation properties of asymmetric nuclear matter, particularly the incompressibility $K_{\infty }(X)=K_{\infty }+K_{\tau }{X}^2+O(X^4)$ at saturation density is systematically studied using density dependent M3Y interaction. The $K_{\tau }$ characterizes the isospin dependence of the incompressibility at saturation density ${\rho }_0$. The approximate expression $K_{asy}\approx K_{sym}-6L$ is often used for $K_{\tau }$ where $L$ and $K_{sym}$ represent, respectively, the slope and curvature parameters of the symmetry energy at ${\rho }_0$. It can be expressed accurately as $K_{\tau }=K_{sym}-6L-\frac{Q_0}{K_{\infty }}L$ where $Q_0$ is the third-order derivative parameter of symmetric nuclear matter at ${\rho }_0$. The results of this addendum to Phys. Rev. C 80, 011305(R) (2009) indicate that the $Q_0$ contribution to $K_{\tau }$ is not insignificant.

Comments: 4 pages including 1 table and 1 figure