Description of the Giant Monopole Resonance in the Even-A ${}^{112-124}$Sn Isotopes within the Microscopic Model Including Quasiparticle-Phonon Coupling

Abstract

We have calculated the strength distributions of the giant monopole resonance in the even-A tin isotopes (A = 112-124) which were recently measured in inelastic $\alpha$-scattering. The calculations were performed within two microscopic models: the quasiparticle random phase approximation (QRPA) and the quasiparticle time blocking approximation which is an extension of the QRPA including quasiparticle-phonon coupling. We used a self-consistent calculational scheme based on the HF+BCS approximation. The single-particle continuum was exactly included on the RPA level. The self-consistent mean field and the effective interaction were derived from the Skyrme energy functional. In the calculations, two Skyrme force parametrizations were used. The T5 parametrization with comparatively low value of the incompressibility of infinite nuclear matter ($K_{\infty }$ = 202 MeV) gives theoretical results in good agreement with the experimental data including the resonance widths.

21 pages, 2 figures; the figures have been modified: experimental data are shown in Fig. 1

References in corpus (6)

• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Why is Tin so soft?
• Isospin dependence of incompressibility in relativistic and non-relativistic mean field calculations
• Description of electric dipole excitations in the tin isotopes within the quasiparticle time blocking approximation
• Finite- to zero-range relativistic mean-field interactions

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