Description of the giant monopole resonance in the even-A 112-124Sn isotopes within a microscopic model including quasiparticle-phonon coupling

We have calculated the strength distributions of the isoscalar giant monopole resonance (ISGMR) in the even-A tin isotopes (A=112-124) that were recently measured in inelastic α scattering. The calculations were performed within two microscopic models: the quasiparticle random phase approximation (QRPA) and the quasiparticle time blocking approximation (QTBA), which is an extension of the QRPA including quasiparticle-phonon coupling. We used a self-consistent calculational scheme based on the Hartree-Fock+Bardeen-Cooper-Schrieffer approximation. Within the RPA the self-consistency is full. The single-particle continuum is also exactly included at the RPA level. The self-consistent mean field and the effective interaction are derived from the Skyrme energy functional. In the calculations, two Skyrme force parametrizations were used: T5 with a comparatively low value of the incompressibility modulus of infinite nuclear matter (K∞=202 MeV) and T6 with K∞=236 MeV. The T5 parametrization gives theoretical results for tin isotopes in good agreement with the experimental data including the resonance widths. The results of the ISGMR calculations in 90Zr, 144Sm, and 208Pb performed with these Skyrme forces are discussed and compared with the experiment