Nucleon in a periodic magnetic field

Abstract

The energy shift of a nucleon in a static periodic magnetic field is evaluated at second order in the external field strength in perturbation theory. It is shown that the measurement of this energy shift on the lattice allows one to determine the unknown subtraction function in the forward doubly virtual Compton scattering amplitude. The limits of applicability of the obtained formula for the energy shift are discussed.

The explicit factor $e$ is restored in the equations. The conclusions are unchanged

References in corpus (15)

• Ab initio calculation of the neutron-proton mass difference
• Cusps in K --> 3 pi decays
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• Electromagnetic and spin polarisabilities in lattice QCD
• The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
• Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory
• Gold-plated moments of nucleon structure functions in baryon chiral perturbation theory
• New Measurement of Compton Scattering from the Deuteron and an Improved Extraction of the Neutron Electromagnetic Polarizabilities
• Prospects for a lattice computation of rare kaon decay amplitudes II $K\to \pi \nu \bar{\nu }$ decays
• First exploratory calculation of the long-distance contributions to the rare kaon decays $K\to \pi {\ell }^{+}{\ell }^{-}$
• Two-photon exchange correction to muon-proton elastic scattering at low momentum transfer
• Dispersive estimate of the electromagnetic charge symmetry violation in the octet baryon masses
• A Method to Extract Charged Hadron Properties from Lattice QCD in Magnetic Fields

Cited by in corpus (10)

• Nucleon structure functions from lattice operator product expansion
• Hadrons and Nuclei
• Lattice QCD evaluation of the Compton amplitude employing the Feynman-Hellmann theorem
• Toward a First-Principles Calculation of Electroweak Box Diagrams
• Lattice QCD Inputs for Nuclear Double Beta Decay
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Meson deformation by magnetic fields in lattice QCD
• Nucleon in a periodic magnetic field: Finite-volume aspects
• Finite volume corrections to forward Compton scattering off the nucleon
• Gross-Llewellyn Smith sum rule from lattice QCD