Reassessing nuclear matter incompressibility and its density dependence

TL;DR

This paper uses experimental giant monopole resonance data to better constrain the nuclear matter incompressibility and its density dependence, proposing a new equation of state around saturation density.

Contribution

It introduces a method to construct a plausible nuclear matter equation of state using resonance data and empirical inputs, refining the values of nuclear incompressibility.

Findings

Nuclear incompressibility at saturation density is estimated to be 211.9±24.5 MeV.

The study links resonance energies to the density slope of incompressibility.

A broad density region equation of state is proposed based on experimental constraints.

Abstract

Experimental giant monopole resonance energies are now known to constrain nuclear incompressibility of symmetric nuclear matter $K$ and its density slope $M$ at a particular value of sub-saturation density, the crossing density $\rho_c$. Consistent with these constraints, we propose a reasonable way to construct a plausible equation of state of symmetric nuclear matter in a broad density region around the saturation density $\rho_0$. Help of two additional empirical inputs, the value of $\rho_0$ and that of the energy per nucleon $e(\rho_0)$ are needed. The value of $K(\rho_0)$ comes out to be $211.9\pm 24.5$ MeV.