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Selected states of the $EF\ ^1\Sigma_\mathrm{g}^+$ electronic manifold of thehydrogen molecule are computed as resonances of the four-body problem.Systematic improvement of the basis representation for the variationaltreatment is achieved through an energy-tracking optimization procedure. Theresulting non-relativistic energy is converged within a few nano Hartree, whilethe predissociative width is found to be negligible at this level of accuracy.The four-particle non-relativistic energies are appended with relativistic andquantum electrodynamics corrections which close the gap between theexperimental observations and earlier theoretical work.

Precise computation of rovibronic resonances of molecular hydrogen: $EF\ ^1\Sigma_\mathrm{g}^+$ inner-well rotational states