Abstract
The excitation energies for giant monopole and quadrupole resonances are estimated using self-consistent field theory. The mass parameters for these oscillations are determined by using classical energy weighted sum rule values. It is predicted that both the isoscalar monopole and quadrupole states have an eigenfrequency of 1.41 ω o [ω o ≈ 41 A 1 3 MeV] and that the isovector monopole and quadrupole resonances will appear at E x ≈ 4.35 ω o and 3.16 ω o, respectively. The systematics of the excitation energies for the observed new giant resonances are well explained by the simple model.
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