%0 Generic %1 stellin2020pwave %A Stellin, Gianluca %A Meißner, Ulf-G. %D 2020 %K qed %R 10.1140/epja/s10050-020-00319-1 %T P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED %U http://arxiv.org/abs/2008.06553 %X 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 $T_1^\pm$ 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 $\alpha$ are neglected, since the gapped nature of the momentum operator in the lattice environnement allows for a perturbative treatment of the QED interactions.

@misc{stellin2020pwave, 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 $T_1^{\pm}$ 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 $\alpha$ are neglected, since the gapped nature of the momentum operator in the lattice environnement allows for a perturbative treatment of the QED interactions.}, added-at = {2021-06-14T16:52:17.000+0200}, author = {Stellin, Gianluca and Meißner, Ulf-G.}, biburl = {https://www.bibsonomy.org/bibtex/2e32a9743e61f894064a5850dddd35e63/cmcneile}, description = {P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED}, doi = {10.1140/epja/s10050-020-00319-1}, interhash = {a231f51d16446b49e98234ba79356568}, intrahash = {e32a9743e61f894064a5850dddd35e63}, keywords = {qed}, note = {cite arxiv:2008.06553Comment: 73 pages, 7 figures, 0 tables. To be submitted to the European Physical Journal A}, timestamp = {2021-06-14T16:52:17.000+0200}, title = {P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED}, url = {http://arxiv.org/abs/2008.06553}, year = 2020 }