Energy of a point-like neutron in an external electromagnetic field
arXiv:2008.10691 · doi:10.1103/PhysRevD.104.056002
Abstract
A point-like neutron in an external electromagnetic field experiences a shift in energy that mimicks the effect of an actual structural deformation of an extended neutron, i.e., a proper polarizability. In order to be able to differentiate between the former and the latter, a Foldy-Wouthuysen transformation is constructed which yields the energy shift of a point-like neutron quadratic in the external field in a derivative expansion, generalizing a long-known result for the dipole electric polarizability due to Foldy. The ten leading Foldy contributions to the energy are determined for a zero-momentum neutron. In addition, eliminating the momentum operator in favor of the velocity operator, analogous results are derived for a zero-velocity neutron. In this case, operator ordering ambiguities are encountered that permit only a determination of eight of the ten Foldy terms.
Version accepted for publication
References in corpus (20)
- Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
- Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
- Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
- Electromagnetic and spin polarisabilities in lattice QCD
- Neutron electric polarizability from unquenched lattice QCD using the background field approach
- Neutron electric dipole moment with external electric field method in lattice QCD
- New Measurement of Compton Scattering from the Deuteron and an Improved Extraction of the Neutron Electromagnetic Polarizabilities
- Proton spin polarizabilities from polarized Compton scattering
- Measurements of Double-Polarized Compton Scattering Asymmetries and Extraction of the Proton Spin Polarizabilities
- Sea contributions to the electric polarizability of the hadrons
- Pion magnetic polarisability using the background field method
- Higher order forward spin polarizability
- Designing Optimal Experiments: An Application to Proton Compton Scattering
- Proton scalar dipole polarizabilities from real Compton scattering data, using fixed-t subtracted dispersion relations and the bootstrap method
- A Method to Extract Charged Hadron Properties from Lattice QCD in Magnetic Fields
- Octet Baryons in Large Magnetic Fields
- Neutron in a Strong Magnetic Field: Finite Volume Effects
- Reconciling the lattice background field method with nonrelativistic QED: Spinor case
- Chiral extrapolation of the magnetic polarizability of the neutral pion
- Solution of Dirac Equation for Charged and Neutral Fermions with Anomalous Magnetic Moments in Uniform Magnetic Field