Toward observation of three-nucleon short-range correlations in high- Q2 A(e,e′)X reactions

Abstract

We present a detailed study of the kinematical and dynamical conditions necessary for probing highly elusive three-nucleon short-range correlations (3N-SRCs) in nuclei through inclusive electron scattering. The kinematic requirements that should be satisfied in order to isolate 3N-SRCs in inclusive processes are derived. We demonstrate that a sequence of two short-range NN interactions is the main mechanism for 3N-SRCs in such processes. With this mechanism we predict a quadratic dependence of the cross section ratios of nuclei to $^{3}\mathrm{He}$ in the 3N-SRC region to the same ratio measured in the 2N-SRC domain. An extended analysis of the available data which satisfies the required 3N-SRC kinematical conditions is presented. This analysis reveals tantalizing signatures of the scaling associated with the onset of 3N-SRC dominance. The same data are also consistent with the prediction of the quadratic relation between the ratios measured in the 3N- and 2N-SRC regions for nuclei ranging $4\ensuremath{\le}A\ensuremath{\le}197$. This agreement made it possible to extract ${a}_{3}(A)$, the probability of 3N-SRCs relative to the $A=3$ nucleus. We find ${a}_{3}(A)$ to be significantly larger in magnitude than the analogous parameter, ${a}_{2}(A)$, for 2N-SRCs.