Relation between the Landau-Migdal interaction and the separable interaction

The Landau-Migdal interaction has been used widely in analyses of the quenching of spin-isospin transitions. The separable interaction, on the other hand, has been used for studies of electric giant resonances and low-lying vibrational states, and recently for those of spin-isospin polarizations. The relation between these two interactions in the spin-isospin channel is studied. Quantitative comparison of these interactions in the spin-isospin L = 1 channel shows good correspondence between the nuclear matrix elements of the two types of interactions. (orig.)