The NRQED Hamiltonian and photon-exchange interaction up to $m\alpha^8$ order
High Energy Physics - Phenomenology
2018-12-11 v3
Abstract
We derive the effective Hamiltonian of the Nonrelativistic Quantum Electrodynamic up to by using scattering matching approach. At order, these results are coincide with Pachucki's, which is obtained by applying Foldy-Wouthuysen transformation. And by using the NRQED Hamiltonian, we derive the photon-exchange interaction in non-retarded approximation and the retardation correction up to . The energy shift of the photon-exchange interaction is obtained by studying the pole of the total Green function.
Keywords
Cite
@article{arxiv.1804.00417,
title = {The NRQED Hamiltonian and photon-exchange interaction up to $m\alpha^8$ order},
author = {Wanping Zhou and Xuesong Mei and Haoxue Qiao},
journal= {arXiv preprint arXiv:1804.00417},
year = {2018}
}