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Interactions of two and three mesons including higher partial waves from lattice QCD

Journal of High Energy Physics volume 2021, Article number: 23 (2021) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We study two- and three-meson systems composed either of pions or kaons at maximal isospin using Monte Carlo simulations of lattice QCD. Utilizing the stochastic LapH method, we are able to determine hundreds of two- and three-particle energy levels, in nine different momentum frames, with high precision. We fit these levels using the relativistic finite-volume formalism based on a generic effective field theory in order to determine the parameters of the two- and three-particle K-matrices. We find that the statistical precision of our spectra is sufficient to probe not only the dominant s-wave interactions, but also those in d waves. In particular, we determine for the first time a term in the three-particle K-matrix that contains two-particle d waves. We use three Nf = 2 + 1 CLS ensembles with pion masses of 200, 280, and 340 MeV. This allows us to study the chiral dependence of the scattering observables, and compare to the expectations of chiral perturbation theory.

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Authors and Affiliations

  1. Physics Department, University of Washington, Seattle, WA, 98195-1560, USA

    Tyler D. Blanton & Stephen R. Sharpe

  2. Helmholtz-Institut Mainz, Johannes Gutenberg-Universität, 55099, Mainz, Germany

    Andrew D. Hanlon

  3. GSI Helmholtzzentrum für Schwerionenforschung, 64291, Darmstadt, Germany

    Andrew D. Hanlon

  4. Physics Department, Brookhaven National Laboratory, Upton, New York, 11973, USA

    Andrew D. Hanlon

  5. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA

    Ben Hörz

  6. Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania, 15213, USA

    Colin Morningstar

  7. IFIC, CSIC-Universitat de València, 46980, Paterna, Spain

    Fernando Romero-López

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  1. Tyler D. Blanton
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Blanton, T.D., Hanlon, A.D., Hörz, B. et al. Interactions of two and three mesons including higher partial waves from lattice QCD. J. High Energ. Phys. 2021, 23 (2021). https://doi.org/10.1007/JHEP10(2021)023

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  • DOI: https://doi.org/10.1007/JHEP10(2021)023

Keywords

  • Lattice QCD
  • Scattering Amplitudes