Abstract

The longitudinal sum rule, computed from recent electron scattering experiments is lower than theoretical predictions by about a factor of two. Although the effect of two-particle-two-hole correlations has generally been viewed as the predominant mechanism causing the quenching, its calculation is complex in medium weight and even prohibitive in heavy systems. We present here a simple and efficient method to estimate the effect of the many-particle-many-hole correlation, which borrows from Feshbach's reaction theory, and incorporates effects beyond the usual 2p-2h correlations. The method is introduced in the context of a fully microscopic RPA model and compared with experiment in the case of 40Ca with particularly encouraging results.

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