Spin- and velocity-dependent non-relativistic potentials in modified electrodynamics

Abstract

We investigate the interparticle potential between spin-0, -1/2 and -1 sources interacting in modified electrodynamics in the non-relativistic regime. By keeping terms of $\mathcal{O}(|\mathbf{p}{|}^2/m^2)$ in the amplitudes, we obtain spin- and velocity-dependent interaction energies. We find well-known effects such as spin-orbit couplings, as well as spin-spin (dipole-dipole) interactions. For concreteness, we consider the cases of electrodynamics with higher derivatives (Podolsky-Lee-Wick) and hidden photons.

arXiv comment9 pages, 1 figure

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• Constraining hidden photons via atomic force microscope measurements and the Plimpton-Lawton experiment
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• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Experimental signatures of Kalb-Ramond-like particles
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Fermion inter-particle potentials in 5D and a dimensional restriction prescription to 4D
• Quantum corrected gravitational potential beyond monopole-monopole interactions
• Topological insulator realization induced by fermionic interaction through BF mediators