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Lattice calculation of $1^{-+}$ hybrid mesons with improved Kogut-Susskind fermions

C. Bernard·T. Burch·C. DeTar·Steven Gottlieb·E. B. Gregory·U. M. Heller·J. Osborn·R. Sugar·D. Toussaint
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Abstract

We report on a lattice determination of the mass of the exotic $1^{-+}$ hybrid meson using an improved Kogut-Susskind action. Results from both quenched and dynamical quark simulations are presented. We also compare with earlier results using Wilson quarks at heavier quark masses. The results on lattices with three flavors of dynamical quarks show effects of sea quarks on the hybrid propagators which probably result from coupling to two meson states. We extrapolate the quenched results to the physical light quark mass to allow comparison with experimental candidates for the $1^{-+}$ hybrid meson. The lattice result remains somewhat heavier than the experimental result, although it may be consistent with the $π_1(1600)$.

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C. Bernard, T. Burch, C. DeTar, Steven Gottlieb, E. B. Gregory, U. M. Heller, J. Osborn, R. Sugar, D. Toussaint. 2003-11-06. Lattice calculation of $1^{-+}$ hybrid mesons with improved Kogut-Susskind fermions. https://doi.org/10.1103/physrevd.68.074505

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