A precision measurement of the $p$($e,e^\prime p\,$)$\pi^0$ reaction at threshold

TL;DR

This study provides precise measurements of neutral pion electroproduction near threshold, testing Chiral Perturbation Theory predictions and revealing discrepancies in p-wave predictions at higher momentum transfers.

Contribution

First comprehensive angular coverage of the $p(e,e' p)\pi^0$ reaction near threshold, enabling detailed comparison with ChPT and highlighting its limitations.

Findings

Strong disagreement with p-wave ChPT predictions for $Q^2>0.07$ (GeV/c)$^2$

Reasonable agreement with s-wave predictions

Complete angular coverage from 0.5 to 15 MeV above threshold

Abstract

New results are reported from a measurement of $\pi^0$ electroproduction near threshold using the $p(e,e^{\prime} p)\pi^0$ reaction. The experiment was designed to determine precisely the energy dependence of $s-$ and $p-$wave electromagnetic multipoles as a stringent test of the predictions of Chiral Perturbation Theory (ChPT). The data were taken with an electron beam energy of 1192 MeV using a two-spectrometer setup in Hall A at Jefferson Lab. For the first time, complete coverage of the $\phi^*_{\pi}$ and $\theta^*_{\pi}$ angles in the $p \pi^0$ center-of-mass was obtained for invariant energies above threshold from 0.5 MeV up to 15 MeV. The 4-momentum transfer $Q^2$ coverage ranges from 0.05 to 0.155 (GeV/c)$^2$ in fine steps. A simple phenomenological analysis of our data shows strong disagreement with $p-$wave predictions from ChPT for $Q^2>0.07$ (GeV/c)$^2$, while the $s-$wave predictions are in reasonable agreement.