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A Lorentz invariant version of a mass-gap graphene-like planar quantumelectrodynamics, the parity-preserving $U(1)\times U(1)$ massive QED$_3$,exhibits attractive interaction in low-energyelectron-polaron--electron-polaron $s$-wave scattering, favoring quasiparticlesbound states, the $s$-wave bipolarons.

Electron-polaron--electron-polaron bound states in mass-gap graphene-like planar quantum electrodynamics: $s$-wave bipolarons