Authors

Abstract

In the first part of this paper, we present a study of the symmetry energy () and its slope parameter () fornuclear matter in the framework of the Fermi liquid theory of Landau and Migdal. We derive an exact relationbetween and , which involves the nucleon effective masses and three-particle Landau-Migdal parameters. Wepresent simple estimates which suggest that there are two main mechanisms to explain the empirical values of :The proton-neutron effective mass difference in isospin asymmetric matter and the = 0 moment of the isovectorin-medium three-particle scattering amplitude. In the second part of this paper, we discuss the general structureof three-particle interactions in nuclear matter in the framework of the Fermi liquid theory. The connections tothe Bethe-Brueckner-Goldstone theory and other approaches are also discussed. We show explicitly how the firstfew terms in the Faddeev series, together with medium induced three-particle interactions, emerge naturally in theFermi liquid theory.