Scattering of Low-Energy Photons by Particles of Spin ½

Abstract

The first two terms in a frequency expansion of the photon scattering amplitude are considered in the case where the scatterer is a particle of spin -, . It is shown that an exact calculation in quantum field theory gives results identical with those obtained by classical methods or else by use of the Dirac equation with an anomalous Pauli moment. The results depend only on the charge, mass, and magnetic moment of the scatterer. In the case of the proton, the second term, arising from scattering by the magnetic moment, appears to be negligible in comparison with eRects due to Thomson and Rayleigh scattering.

Charged hadrons in local finite-volume QED+QCD with C⋆ boundary conditions

“…We also notice that the coefficients M −1 and T 0 depend only on the mass and charge of the hadron, and not on its spin or internal structure. For the scattering amplitude we use the classical result [33,34] (also reviewed in section 13.5 of [35]):…”

Note on soft graviton theorem by KLT relation

“…The soft limit can be traced back to the work [1][2][3][4][5][6]. In recent years, a new soft theorem for gravity amplitudes was studied in [7][8][9].…”

Virtual Compton scattering off the nucleon

“…The calculation in this way is rather involved, mainly due to relativistic effects. This has been done only in the case of real Compton scattering [Gel54]. In the VCS case, one prefers to go directly to the quantum derivation where the use of gauge invariance and perturbation theory greatly simplifies the work.…”