Title: Two photon exchange with nuclei from $e^+/e^-$ elastic cross section ratios

Journal Article · · European Physical Journal. A
 [1];  [2]
  1. Massachusetts Institute of Technology (MIT), Cambridge, MA (United States); George Washington University, Washington, DC (United States); OSTI
  2. George Washington University, Washington, DC (United States)

Hadronic box diagrams pose a significant source of radiative corrections to lepton scattering and β -decay measurements, yet their calculation remains highly model-dependent. Two-photon exchange is a box diagram generally relevant to most lepton scattering experiments, and is directly detectable via multiple observables. Single-spin asymmetries (SSA) are sensitive to the imaginary part of the TPE amplitude, while the ratio of $e^+/e^-$ elastic scattering cross sections is sensitive to the real part of the TPE amplitude. While SSA measurements have been reported for several complex nuclei, measurements of the $e^+/e^-$ ratio exist only for the proton. Proposed here is a measurement of the $e^+/e^-$ ratio on 4 He, a feasible nuclear target for which the ratio’s deviation from unity due to TPE is expected to be on order of 1–2%. Choosing a low Z nucleus minimizes Coulomb distortions, which could greatly overwhelm TPE for heavier nuclei. The proposed 19-day program, including measurements at three kinematic settings between 0.3 < Q2 < 0.4 GeV2, would be made possible by the addition of a positron source at Jefferson Lab.

Research Organization:
George Washington University, Washington, DC (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0016583
OSTI ID:
1980790
Journal Information:
European Physical Journal. A, Journal Name: European Physical Journal. A Journal Issue: 3 Vol. 58; ISSN 1434-6001
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (32)

Scattering of positrons and electrons from protons journal August 1967
Backward scattering of positrons and electrons on protons journal January 1968
Two-photon exchange asymmetry in lepton-hadron scattering journal May 1986
Basic instrumentation for Hall A at Jefferson Lab
  • Alcorn, J.; Anderson, B. D.; Aniol, K. A.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 522, Issue 3 https://doi.org/10.1016/j.nima.2003.11.415
journal April 2004
Collinear photon exchange in the beam normal polarization asymmetry of elastic electron–proton scattering journal October 2004
Beam-normal single spin asymmetry in elastic electron scattering off 28Si and 90Zr journal September 2020
Precision measurement of the weak charge of the proton journal May 2018
Radiative Corrections to Electron-Proton Scattering journal June 1961
Scattering of High-Energy Positrons from Protons journal November 1962
Positron-Proton Scattering journal August 1965
Structure of the He 4 Nucleus from Elastic Electron Scattering journal August 1967
The Coulomb Scattering of Relativistic Electrons by Nuclei journal December 1948
Beam-normal single-spin asymmetry in elastic scattering of electrons from a spin-0 nucleus journal June 2021
Measurement of the beam-normal single-spin asymmetry for elastic electron scattering from C 12 and Al 27 journal July 2021
Vector analyzing power in elastic electron-nucleus scattering journal September 2005
Analyzing power in elastic scattering of electrons off a spin-0 target journal April 2008
Superallowed 0 + → 0 + nuclear β decays: 2014 critical survey, with precise results for V u d and CKM unitarity journal February 2015
Dispersive approach to two-photon exchange in elastic electron-proton scattering journal June 2017
Two-photon exchange in muon-nuclear scattering journal September 1980
Measurement of the Neutron Radius of Pb 208 through Parity Violation in Electron Scattering journal March 2012
New Measurements of the Transverse Beam Asymmetry for Elastic Electron Scattering from Selected Nuclei journal November 2012
Towards a Resolution of the Proton Form Factor Problem: New Electron and Positron Scattering Data journal February 2015
Measurement of the Two-Photon Exchange Contribution to the Elastic e ± p Scattering Cross Sections at the VEPP-3 Storage Ring journal February 2015
Hard Two-Photon Contribution to Elastic Lepton-Proton Scattering Determined by the OLYMPUS Experiment journal March 2017
Scattering of Positrons and Electrons from Protons journal August 1966
Comparison of Elastic Positron-Proton and Electron-Proton Scattering Cross Sections journal November 1967
Comparison of Electron-Proton and Positron-Proton Elastic Scattering at Four-Momentum Transfers up to 5.0 ( G e V / c ) 2 journal August 1968
How to Reconcile the Rosenbluth and the Polarization Transfer Methods in the Measurement of the Proton Form Factors journal October 2003
Two-Photon Exchange and Elastic Electron-Proton Scattering journal October 2003
Improved Calculation of Electroweak Radiative Corrections and the Value of V u d journal January 2006
Radiative Corrections to Elastic and Inelastic ep and up Scattering journal January 1969
Subtracted dispersion relation formalism for the two-photon exchange correction to elastic electron-proton scattering: Comparison with data journal February 2015