Charged multihadron systems in lattice <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>QCD</mml:mi><mml:mo>+</mml:mo><mml:mi>QED</mml:mi></mml:mrow></mml:math>

Systems with the quantum numbers of up to twelve charged and neutral pseudoscalar mesons, as well one-, two-, three-nucleon systems, are studied using dynamical lattice chromodynamics electrodynamics (QCD+QED) calculations effective field theory. QED effects on hadronic interactions determined by comparing systems hadrons after tuning quark masses remove strong isospin breaking effects. A non-relativistic theory, which perturbatively includes finite-volume Coulomb effects, is analyzed for multiple found accurately reproduce QCD+QED results. multi-hadron beyond photon exchange two- three-body interaction parameters extracted from results systems.