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The sigma meson from lattice QCD with two-pion interpolating operators

Author

Listed:
  • Dean Howarth

    (Department of Physics, Applied Physics and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180 USA)

  • Joel Giedt

    (Department of Physics, Applied Physics and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180 USA)

Abstract

In this paper, we describe our studies of the sigma meson, f0(500), using two-pion correlation functions. We use lattice quantum chromodynamics in the quenched approximation with so-called clover fermions. By working at unphysical pion masses we are able to identify a would-be resonance with mass less than 2mπ, and then extrapolate to the physical point. We include the most important annihilation diagram, which is “partially disconnected” or “single annihilation”. Because this diagram is quite expensive to compute, we introduce a somewhat novel technique for the computation of all-to-all diagrams, based on momentum sources and a truncation in momentum space. In practice, we use only p=0 modes, so the method reduces to wall sources. At the point where the mass of the pion takes its physical value, we find a resonance in the 0++ two-pion channel with a mass of approximately 609±80 MeV, consistent with the expected properties of the sigma meson, given the approximations we are making.

Suggested Citation

  • Dean Howarth & Joel Giedt, 2017. "The sigma meson from lattice QCD with two-pion interpolating operators," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(10), pages 1-18, October.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:10:n:s0129183117501248
    DOI: 10.1142/S0129183117501248
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