Journal Article

FZJ-2021-01128

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png P-wave two-particle bound and scattering states in a finite volume including QED

Stellin, G. (Corresponding author) ; Meißner, U.-G.FZJ*

2021
Springer Heidelberg

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Please use a persistent id in citations: http://hdl.handle.net/2128/30556  doi:10.1140/epja/s10050-020-00319-1

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.

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Contributing Institute(s):

1. John von Neumann - Institut für Computing (NIC)
2. JARA - HPC (JARA-HPC)
3. Theorie der Starken Wechselwirkung (IAS-4)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. Nuclear Lattice Simulations (jara0015_20200501) (jara0015_20200501)

Appears in the scientific report 2021

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