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000890686 1001_ $$00000-0003-1711-6790$$aStellin, Gianluca$$b0$$eCorresponding author
000890686 245__ $$aP-wave two-particle bound and scattering states in a finite volume including QED
000890686 260__ $$aHeidelberg$$bSpringer$$c2021
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000890686 520__ $$aThe mass shifts for two-fermion bound and scattering P-wave states subject to the long-range interactions due to QED in the non-relativistic regime are derived. Introducing a short range force coupling the spinless fermions to one unit of angular momentum in the framework of pionless EFT, we first calculate both perturbatively and non-perturbatively the Coulomb corrections to fermion-fermion scattering in the continuum and infinite volume context. Motivated by the research on particle-antiparticle bound states, we extend the results to fermions of identical mass and opposite charge. Second, we transpose the system onto a cubic lattice with periodic boundary conditions and we calculate the finite volume corrections to the energy of the lowest bound and unbound $T^±_1$ eigenstates. In particular, power law corrections proportional to the fine structure constant and resembling the recent results for S-wave states are found. Higher order contributions in $α$ are neglected, since the gapped nature of the momentum operator in the lattice environnement allows for a perturbative treatment of the QED interactions.
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000890686 7001_ $$0P:(DE-Juel1)131252$$aMeißner, Ulf-G.$$b1
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