Form Factor Sum Rule and Giant Multipole States

概要

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The energy-weighted sum rules for both the form factor and transition charge density are derived, describing longitudinal multipole excitation of nuclear states in electron inelastic scattering. These sum rules are applied to the determination of the transition charge density of the giant multipole state under the assumption that the sum rules are saturated by this single collective state at photon-point. The resulting transition charge density is found to be precisely the same as that of hydrodynamical model by Tassie. Uniqueness of the result is descussed: It is pointed out that the one-term saturation of sum rules at photon-point alone cannot necessarily determine the transition charge density uniquely except for its behaviour near nuclear surface. Possible corrections to Tassie-type transition charge density are studied by considering higher order giant multipole states whose γ-transition to the ground state is strictly forbidden. The transition charge densities of these higher forbidden giant multipole states are determined by the sum rules. Implications of our results on the experiments of electron scattering are briefly discussed.
理論物理学刊行会の論文
1974-05-25