Giant resonances in the relativistic RPA with non-linear interactions

Nuclear isoscalar and isovector giant resonances are studied in the framework of the relativistic random phase approximation starting from effective Lagrangians containing meson self-interaction terms. The meson propagators are worked out in momentum space from the second variation of the action of the system. The N (N) over bar excitations are not included to be consistent with the relativistic mean field approximation used for these effective Lagrangians. It turns out that the non-linear models such as TM1, NL-SH, etc., which are of great success in describing nuclear ground state properties in mean field approximation can also well reproduce the isoscalar monopole, quadrupole as well as isovector monopole, dipole resonances of spherical nuclei. (C) 1997 Elsevier Science B.V.