Abstract
Two expressions for the non-energy-weighted sum rules are studied in detail. One of them contains the information of one- and two-body density matrices of the ground state of a nucleus. The other summarizes the elastic and inelastic processes which determine the nuclear response to an external probe. These processes are well described by the response function method. In this paper, we establish the relation of these two expressions; namely, we show which processes of the response have the information of the one- and two-body density matrices. To make the physical points clear, we use the Coulomb sum rule as an example.
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