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Counting the number of correlated pairs in a nucleus

By Maarten Vanhalst, Wim Cosyn and Jan Ryckebusch

Abstract

We suggest that the number of correlated nucleon pairs in an arbitrary nucleus can be estimated by counting the number of proton-neutron, proton-proton, and neutron-neutron pairs residing in a relative $S$ state. We present numerical calculations of those amounts for the nuclei $^{4}$He, $^{9}$Be, $ ^{12}$C, $ ^{27}$Al, $ ^{40}$Ca, $ ^{48}$Ca, $ ^{56}$Fe, $ ^{63}$Cu, $ ^{108}$Ag, and $ ^{197}$Au. The results are used to predict the values of the ratios of the per-nucleon electron-nucleus inelastic scattering cross section to the deuteron in the kinematic regime where correlations dominate.Comment: 11 pages, 3 figure

Topics: Nuclear Theory
Year: 2012
DOI identifier: 10.1103/PhysRevC.84.031302
OAI identifier: oai:arXiv.org:1105.1038
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