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Relation between electronuclear sum rules in clusterized nuclei and alpha-particle. Cluster model and experiment
The sums, that correspond to the longitudinal sum rule, over spectra of electrons inelastically scattered on clustered nuclei are studied. The 6Li and 7Li isotopes are considered. It is argued that due to the cluster structure of these nuclei the corresponding sum rules may approximately be expressed in terms of the sum rule pertaining to the alpha-particle. The calculation of these sum rules in the framework of cluster models with antisymmetrization done with respect to all the nucleons is presented. In the corresponding ranges of momentum transfers the relations expressing the A=6 and 7 sumsin terms of the A=4 sum prove to be valid with rather high accuracy and the longitudinal correlation functions of 6Li and 7Li nuclei are found to be close to that of the alpha-particle. Comparison between experiment and the theoretical sum rules calculated in the framework of cluster models is presented.