Calculations of the isoscalar giant monopole resonance within the self-consistent RPA and its extensions

The strength distributions of the isoscalar giant monopole resonance have been calculated in ${}^{16}$O, ${}^{40}$Ca, ${}^{90}$Zr, ${}^{112-124}$Sn, ${}^{144}$Sm, and ${}^{208}$Pb nuclei within the self-consistent random phase approximation and its extensions which include pairing correlations and quasiparticle-phonon coupling. The results are compared with the available experimental data. The problem of the nuclear matter incompressibility is discussed.