The NRQED Hamiltonian and photon-exchange interaction up to $m{\alpha }^8$ order

Wanping Zhou, Xuesong Mei, Haoxue Qiao

We derive the effective Hamiltonian of the Nonrelativistic Quantum Electrodynamic up to $m{\alpha }^8$ by using scattering matching approach. At $m{\alpha }^6$ order, these results are coincide wi…