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Introducing a short range force coupling the spinless fermions to one unit ofangular momentum in the framework of pionless EFT, we first report the two-bodyscattering amplitudes with Coulomb corrections, extended to two fermions ofopposite charge in refs. [1,2]. Motivated by the growing interest in latticeapproaches, we immerse the system into a cubic box with periodic boundaryconditions and display the finite-volume corrections to the energy of thelowest bound and unbound $T_1^{-}$ eigenstates. The latter turn out to consistof power law terms proportional to the fine-structure constant. In thecalculations, quadratic and higher order contributions in $\alpha$ arediscarded, on the grounds that the gapped nature of the momentum operator inthe finite-volume environment allows for a perturbative treatment of the QEDinteractions. An outlook on the extension of the analysis to D-wave short-rangeinteractions is eventually given.

Two-Fermion Bound and Scattering States in a Finite Volume including QED in P-Wave and Beyond