Determination of the proton spectral function of \isotope[12][]{C} from $(e,e^\prime p)$ data

TL;DR

This paper refines the method to extract the proton spectral function of carbon from electron scattering data, incorporating high-resolution measurements to improve accuracy and explore implications for gamma-ray emission analysis.

Contribution

It advances the spectral function extraction technique by integrating high missing energy resolution data within a local density approximation framework.

Findings

Enhanced spectral function accuracy for carbon

Implications for gamma-ray emission analysis

Improved theoretical and experimental integration

Abstract

The determination of the nuclear spectral function from the measured cross section of the electron-nucleus scattering process $e + A \to e^\prime + p + (A-1)$is discussed, and illustrated for the case of a carbon target. The theoretical model based on the local density approximation, previously employed to derive the spectral function from a combination of accurate theoretical calculations and experimental data, has been developed further by including additional information obtained from measurements performed with high missing energy resolution. The implications for the analysis of $\gamma$-ray emission associated with nuclear deexcitation are considered.