Abstract
Giant isoscalar monopole and quadrupole resonances are introduced into the SU(3) limit of the interacting boson model by means of S and D bosons simulating collective particle-hole excitations, in addition to the usual s and d bosons, representing either collective particle or hole pairs in the valence shell. The evaluated giant resonance energies, as well as the matrix elements of E0 and E2 transitions from the giant resonance levels to the ${0}_{1}^{+\mathrm{\ensuremath{-}}}$${2}_{1}^{+\mathrm{\ensuremath{-}}}$${4}_{1}^{+}$ members of the ground-state band, are utilized in coupled-channel calculations of giant resonance excitation through inelastic alpha scattering by the transitional isotopes $^{148}\mathrm{Sm}$ and $^{154}\mathrm{Sm}$: the calculated differential cross sections are then compared with experimental data.
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