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@ARTICLE{Stellin:890686,
      author       = {Stellin, Gianluca and Meißner, Ulf-G.},
      title        = {{P}-wave two-particle bound and scattering states in a
                      finite volume including {QED}},
      journal      = {The European physical journal / A},
      volume       = {57},
      number       = {1},
      issn         = {1434-601X},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {FZJ-2021-01128},
      pages        = {26},
      year         = {2021},
      abstract     = {The 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.},
      cin          = {NIC / JARA-HPC / IAS-4},
      ddc          = {530},
      cid          = {I:(DE-Juel1)NIC-20090406 / $I:(DE-82)080012_20140620$ /
                      I:(DE-Juel1)IAS-4-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / Nuclear Lattice
                      Simulations $(jara0015_20200501)$},
      pid          = {G:(DE-HGF)POF4-5111 / $G:(DE-Juel1)jara0015_20200501$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000610440300001},
      doi          = {10.1140/epja/s10050-020-00319-1},
      url          = {https://juser.fz-juelich.de/record/890686},
}