Relativistic corrections to the electromagnetic polarizabilities of compound systems

Abstract

The low-energy amplitude of Compton scattering on the bound state of two charged particles of arbitrary masses, charges and spins is calculated. A case in which the bound state exists due to electromagnetic interaction (QED) is considered. The term, proportional to ${\omega }^2$, is obtained taking into account the first relativistic correction. It is shown that the complete result for this correction differs essentially from the commonly used term $\Delta \alpha$, proportional to the r.m.s. charge radius of the system. We propose that the same situation can take place in the more complicated case of hadrons.

19 pages, LaTeX

References in corpus (2)

• Low-Energy Compton Scattering of Polarized Photons on Polarized Nucleons
• Electric polarizability of nuclei from a longitudinal sum rule

Cited by in corpus (5)

• Polarizability of the Nucleon and Compton Scattering
• Violation of the fluctuation-dissipation theorem for fast superdiffusion
• Electric polarizabilities of proton and neutron and the relativistic center-of-mass coordinate
• Phenomenology of $D_{s1}$ mesons radiative transitions
• Studies on the electromagnetic structure of the nucleon by free and quasi-free Compton scattering at MAMI (Mainz)