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.

4 pages including 1 table and 1 figure

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Cited by in corpus (11)

• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Compact bifluid hybrid stars: Hadronic Matter mixed with self-interacting fermionic Asymmetric Dark Matter
• Stability of the $\beta$-equilibrated dense matter and core-crust transition in neutron stars
• Gravitational waves from isolated neutron stars: mass dependence of r-mode instability
• Core-crust transition and crustal fraction of moment of inertia in neutron stars
• From nuclear reactions to compact stars: a unified approach
• Isospin asymmetric nuclear matter and properties of axisymmetric neutron stars
• Rapidly rotating axisymmetric neutron stars with quark cores
• Nuclear equation of state and incompressibility in a model with correlations from giant monopole vibrations
• Rossby modes in neutron stars as sources of gravitational waves