Skewness of nuclear matter and three-particle correlations

Abstract

We present a study of the skewness of nuclear matter, which is proportional to the third derivative of the energy per nucleon with respect to the baryon density at the saturation point, in the framework of the Landau-Migdal theory. We derive an exact relation between the skewness, the nucleon effective mass, and two-particle and three-particle interaction parameters. We also present qualitative estimates, which indicate that three-particle correlations play an important role for the skewness.

Bayesian inference of the incompressibility, skewness and kurtosis of nuclear matter from empirical pressures in relativistic heavy-ion collisions

“…It is very interesting to note that more efforts are constantly being made by the nuclear physics community to both understand why the J 0 parameter is so poorly known and how to better determine it. For example, a recent study in the framework of the Landau-Migdal theory shows that three-particle correlations play a crucial role in determining the value of J 0 [39]. This is consistent with earlier findings within Skyrme/Gogny Hartree-Fock calculations that the t 3 term characterizing effectively the density dependence of many-body interactions/correlations is important but poorly understood for determining the K 0 and J 0 parameters as well as their correlations [6][7][8]12].…”