Isobaric incompressibility of the isospin asymmetric nuclear matter

TL;DR

This paper systematically investigates the isospin dependence of nuclear matter incompressibility at saturation density using a density-dependent M3Y interaction, highlighting the significance of the third-order derivative parameter $Q_0$ in the analysis.

Contribution

It provides a refined expression for $K_\tau$ including the $Q_0$ term, improving understanding of isospin effects on nuclear incompressibility.

Findings

$Q_0$ significantly affects $K_\tau$ estimates.

The refined formula for $K_\tau$ improves accuracy.

Highlights importance of higher-order derivatives in nuclear matter properties.

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.