Abstract
We sketch an approximate method to quantify the number of correlated pairs in any nucleus $A$. It is based on counting independent-particle model (IPM) nucleon-nucleon pairs in a relative $S$-state with no radial excitation. We show that IPM pairs with those quantum numbers are most prone to short-range correlations and are at the origin of the high-momentum tail of the nuclear momentum distributions. Our method allows to compute the $a_2$ ratios extracted from inclusive electron scattering. Furthermore, our results reproduce the observed linear correlation between the number of correlated pairs and the magnitude of the EMC effect. We show that the width of the pair center-of-mass distribution in exclusive two-nucleon knockout yields information on the quantum numbers of the pairs.
Highlights
One of the striking features of the nucleon-nucleon potential is the appearance of a huge repulsive core in the potential for inter-nucleon distances of 1 fm
A very nice linear correlation was observed between the magnitude of the EMC (European Muon Collaboration) effect for a nucleus A and the ratios of inclusive electron scattering from nucleus A relative to the deuteron [3, 4]
In Refs. [5,6,7], we have introduced an approximate method to quantify the number of correlated pairs in any nucleus
Summary
One of the striking features of the nucleon-nucleon potential is the appearance of a huge repulsive core in the potential for inter-nucleon distances of 1 fm. A very nice linear correlation was observed between the magnitude of the EMC (European Muon Collaboration) effect for a nucleus A and the ratios of inclusive electron scattering from nucleus A relative to the deuteron (taken as a measure for the amount of correlated pairs in a nucleus) [3, 4].
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