6533b82dfe1ef96bd1291f50

RESEARCH PRODUCT

Polarizability effects in electronic and muonic atoms

Torleif Erik Oskar EricsonJose Bernabeu

subject

PhysicsNuclear and High Energy PhysicsMomentum transferCompton scatteringFísicaElementary particleDiscrete dipole approximationPolarizabilityQuantum electrodynamicsQuantum mechanicsSum rule in quantum mechanicsLimit (mathematics)Nuclear PhysicsLepton

description

TheS state polarizability shifts are derived from the virtual forward Compton scattering in the unretarded dipole approximation. In the non-relativistic limit ω N /2m≪1, the shift is proportional to the photonuclear sum rule σ−3/2, while in the relativistic limit ω N /2m≫1 it is proportional to a logarithmically weighted σ−2 sum rule. In both cases, the characteristic momentum transfer is (2mω N )1/2. The non-locality from the intermediate lepton propagation removes the divergence typical of the static limit. Explicit formulas for the shifts are given for both the relativistic and non-relativistic limits.

https://doi.org/10.1007/bf01413752