Final-state interactions in two-nucleon knockout reactions

TL;DR

This paper investigates the impact of final-state interactions on two-nucleon knockout reactions in nuclei, demonstrating that FSI effects are modest and follow a predictable mass-dependent power law, thus aiding the interpretation of short-range correlations.

Contribution

It provides a quantitative analysis of FSI effects in $A(e,e'pN)$ reactions across different nuclei, establishing a simple power law for FSI mass dependence and showing minimal distortion of SRC signatures.

Findings

FSI effects cause a significant reduction in cross section transparency with increasing mass number.

The transparency follows a power law $T^{pN}_{A} \, \propto \, A^{-\lambda}$ with $0.4 \lesssim \lambda \lesssim 0.5$.

SCX mechanisms contribute only a small fraction to SRC-driven reactions.

Abstract

Background: Exclusive two-nucleon knockout after electroexcitation of nuclei ($A(e,e'NN)$ in brief) is considered to be a primary source of information about short-range correlations (SRC) in nuclei. For a proper interpretation of the data, final-state interactions (FSI) need to be theoretically controlled. Purpose: Our goal is to quantify the role of FSI effects in exclusive $A(e,e'pN)$ reactions for four target nuclei representative for the whole mass region. Our focus is on processes that are SRC driven. We investigate the role of FSI for two characteristic detector setups corresponding with a "small" and "large" coverage of the available phase space. Results: The transparency $T^{pN}_{A}$, defined as the ratio of exclusive $(e,e'pN)$ cross sections on nuclei to those on "free" nucleon pairs, drops from $ 0.2-0.3 $ for $^{12}$C to $0.04-0.07$ for $^{208}$Pb. For all considered kinematics, the mass dependence of the $T^{pN}_{A}$ can be captured by the power law $T^{pN}_{A} \propto A^{- \lambda}$ with $ 0.4 \lesssim \lambda \lesssim 0.5 $. Apart from an overall reduction factor, we find that FSI only modestly affects the distinct features of SRC-driven $A(e,e'pN)$ which are dictated by the c.m. distribution of close-proximity pairs. Conclusion: The SCX mechanisms represent a relatively small (order of a few percent) contribution of SRC-driven $A(e,e'pN)$ processes. The mass dependence of FSI effects in exclusive $A(e,e'pN)$ can be captured in a robust power law and is in agreement with the predictions obtained in a toy model.