First Observation of Large Missing-Momentum (e,e'p) Cross-Section Scaling and the onset of Correlated-Pair Dominance in Nuclei

Abstract

We report the first measurement of $x_B$-scaling in $(e,e^{\prime }p)$ cross-section ratios off nuclei relative to deuterium at large missing-momentum of $350\le p_{miss}\le 600$ MeV/c. The observed scaling extends over a kinematic range of $0.7\le x_B\le 1.8$, which is significantly wider than $1.4\le x_B\le 1.8$ previously observed for inclusive $(e,e^{\prime })$ cross-section ratios. The $x_B$-integrated cross-section ratios become constant (i.e., scale) beginning at $p_{miss}\approx k_F$, the nuclear Fermi momentum. Comparing with theoretical calculations we find good agreement with Generalized Contact Formalism calculations for high missing-momentum ($>375$ MeV/c), suggesting the observed scaling results from interacting with nucleons in short-range correlated (SRC) pairs. For low missing-momenta, mean-field calculations show good agreement with the data for $p_{miss}\le k_F$, and suggest that contributions to the measured cross-section ratios from scattering off single, un-correlated, nucleons are non-negligible up to $p_{miss}\approx 350$ MeV/c. Therefore, SRCs become dominant in nuclei at $p_{miss}\approx 350$ MeV/c, well above the nuclear Fermi Surface of $k_F\approx 250$ MeV/c.

Comments: 7 pages, 4 figures and supplementary materials