The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability

Abstract

We update the determination of the isovector nucleon electromagnetic self-energy, valid to leading order in QED. A technical oversight in the literature concerning the elastic contribution to Cottingham's formula is corrected and modern knowledge of the structure functions is used to precisely determine the inelastic contribution. We find δM_{p-n}^γ= 1.30(03)(47) MeV. The largest uncertainty arises from a subtraction term required in the dispersive analysis, which can be related to the isovector magnetic polarizability. With plausible model assumptions, we can combine our calculation with additional input from lattice QCD to constrain this polarizability as: β_{p-n} = -0.87(85) x 10^{-4} fm^3.

5 pages, version accepted for publication in PRL

References in corpus (9)

• A new parameterization of the nucleon elastic form factors
• Lattice QCD at the physical point: light quark masses
• Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED
• Charge Symmetry Breaking and QCD
• Empirical Fit to Inelastic Electron-Deuteron and Electron-Neutron Resonance Region Transverse Cross Sections
• Realistic Transverse Images of the Proton Charge and Magnetic Densities
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• Precise determination of low-Q nucleon electromagnetic form factors and their impact on parity-violating e-p elastic scattering
• Realistic Few-Body Physics in the $dd\to \alpha {\pi }^0$ Reaction

Cited by in corpus (34)

• FLAG Review 2021
• Ab initio calculation of the neutron-proton mass difference
• The Proton Radius Puzzle
• Unraveling models of CP violation through electric dipole moments of light nuclei
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• The NRQED lagrangian at order 1/M^4
• Kaon electromagnetic form factors in dispersion theory
• FLAG Review 2024
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• The electric dipole moment of the deuteron from the QCD $\theta$-term
• New Measurement of Compton Scattering from the Deuteron and an Improved Extraction of the Neutron Electromagnetic Polarizabilities
• Nucleon Compton scattering in the Dyson-Schwinger approach
• Hyperfine structure of S-states in muonic deuterium
• On the mass difference between proton and neutron
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen
• Dispersive estimate of the electromagnetic charge symmetry violation in the octet baryon masses
• Electromagnetic Contribution to the Proton-Neutron Mass Splitting
• Designing Optimal Experiments: An Application to Proton Compton Scattering
• Forward light-by-light scattering and electromagnetic correction to hadronic vacuum polarization
• Sum rule for the Compton amplitude and implications for the proton-neutron mass difference
• Effective theory tower for $\mu \to e$ conversion
• Towards fully non-perturbative computation of inelastic $\ell N$ scattering cross sections from lattice QCD
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Reconciling the lattice background field method with nonrelativistic QED: Spinor case
• Charge Symmetry Breaking in dd->4Heπ0 with WASA-at-COSY
• Finite volume corrections to forward Compton scattering off the nucleon
• LHC Lifetime Frontier and Visible Decay Searches in Composite Asymmetric Dark Matter Models
• Inclusion of isospin breaking effects in lattice simulations
• Quantifying the sensitivity of Big Bang Nucleosynthesis to isospin breaking with input from lattice QCD
• Improved $K_{e3}$ radiative corrections sharpen the $K_{\mu 2}$--$K_{l3}$ discrepancy
• Lattice QCD calculation of the Compton amplitude subtraction function
• Analyticity and Regge asymptotics in virtual Compton scattering on the nucleon
• Octet baryon mass splittings from up-down quark mass differences