Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future

Abstract

We review the dispersion-theoretical analysis of the electromagnetic form factors of the nucleon. We emphasize in particular the role of unitarity and analyticity in the construction of the isoscalar and isovector spectral functions. We present new results on the extraction of the nucleon radii, the electric and magnetic form factors and the extraction of $\omega$-meson couplings. All this is supplemented by a detailed calculation of the theoretical uncertainties, using bootstrap and Bayesian methods to pin down the statistical errors, while systematic errors are determined from variations of the spectral functions. We also discuss the physics of the time-like form factors and point out further issues to be addressed in this framework.

31 pages, 33 pages, commissioned review article for EPJ A

References in corpus (31)

• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Dispersion analysis of the nucleon form factors including meson continua
• The size of the proton - closing in on the radius puzzle
• Resonance production by neutrinos: The second resonance region
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Search for effects beyond the Born approximation in polarization transfer observables in $\vec{e}p$ elastic scattering
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Roy-Steiner equations for pion-nucleon scattering
• The electromagnetic form factors of the proton in the timelike region
• Study of the process $e^{+}{e}^{-}\to n\bar{n}$ at the VEPP-2000 $e^{+}{e}^{-}$ collider with the SND detector
• Nucleon Electromagnetic Form Factors in the Timelike Region
• Extracting the sigma-term from low-energy pion-nucleon scattering
• Dispersive analysis of the scalar form factor of the nucleon
• Effects of S-wave thresholds
• Updated dispersion-theoretical analysis of the nucleon electromagnetic form factors
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Periodic interference structures in the time-like proton form factor
• Extraction of the neutron charge radius from a precision calculation of the deuteron structure radius
• Parity-Violating Electron Scattering and the Electric and Magnetic Strange Form Factors of the Nucleon
• Isovector electromagnetic form factors of the nucleon from lattice QCD and the proton radius puzzle
• High-precision determination of the electric and magnetic radius of the proton
• On the strong energy dependence of the e^+e^- to ppbar amplitude near threshold
• The proton radius: From a puzzle to precision
• New fit of time-like proton electromagnetic form factors from $e^{+}{e}^{-}$ colliders
• Rescattering Effect and Near Threshold Enhancement of $p\bar{p}$ System
• Model-independent extraction of two-photon effects in elastic electron-proton scattering
• Spectral functions of nucleon form factors: Three-pion continua at low energies
• Nucleon Form Factors in Dispersion Theory
• Theoretical Analysis of the $p\bar{p}\to {\pi }^0{e}^{+}{e}^{-}$ Process within a Regge Framework
• Nucleon polarization in the process $e^{+}{e}^{-}\to N\bar{N}$ near threshold
• Chiral constraints on the isoscalar electromagnetic spectral functions of the nucleon from leading order vector meson couplings

Cited by in corpus (34)

• 50 Years of Quantum Chromodynamics
• New insights into the nucleon's electromagnetic structure
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• Precision calculation of the electromagnetic radii of the proton and neutron from lattice QCD
• Superallowed nuclear beta decays and precision tests of the Standard Model
• Electromagnetic form factors of the nucleon from $N_f=2+1$ lattice QCD
• The Standard Model theory of neutron beta decay
• Proton Electromagnetic Form Factors in the Time-like Region through the Scan Technique
• New insights into the oscillation of the nucleon electromagnetic form factors
• Precision calculation of the recoil--finite-size correction for the hyperfine splitting in muonic and electronic hydrogen
• Dispersion-theoretical analysis of the electromagnetic form factors of the $\Lambda$ hyperon
• Electromagnetic $|G_E/G_M|$ ratios of hyperons at large timelike $q^2$
• Pauli radius of the proton
• Transverse charge and current densities in the nucleon from dispersively improved chiral effective field theory
• The electromagnetic Sigma-to-Lambda transition form factors with coupled-channel effects in the space-like region
• Pauli form factor contributions to the inelastic proton bremsstrahlung and dark photon production
• Hybrid analysis of radiative corrections to neutron decay with current algebra and effective field theory
• The proton magnetic radius: a new puzzle?
• Radiative corrections to elastic muon-proton scattering at low momentum transfers
• Electromagnetic nucleon form factors in the extended vector meson dominance model
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Dark photon production via inelastic proton bremsstrahlung with Pauli form factor
• Method for measuring the charge radii of charged hyperons from the time-like region
• Differential Cross Section Predictions for PRad-II from Dispersion Theory
• Bayesian method for fitting the low-energy constants in chiral perturbation theory
• Baryon Form Factors
• Laser Excitation of Muonic 1S Hydrogen Hyperfine Transition: Effects of Multi-pass Cell Interference